Find the equation for a polynomial f(x) that satisfies the following:Degree 5- Root of multiplicity 1 at 2 = 1- Root of multiplicity 2 at x = 2- Root of multiplicity 2 at x = -2y-intercept of (0,–32)

Answers

Answer 1

The equation for this polynomial is:

[tex]\begin{gathered} 2(x-1)(x-2)^2(x+2)^2 \\ 2x^5-2x^4-16x^3+16x^2+32x-32 \end{gathered}[/tex]

So that's the equation we're asking for.

Both could be the answers. However, this is the final one:

[tex]2x^5-2x^4-16x^3+16x^2+32x-32[/tex]


Related Questions

¿Qué es 1/3 x5 / 6? ¿Qué es 2/5 x 3/7?

Answers

La primera expresión es

[tex]\frac{1}{3}\times\frac{5}{6}[/tex]

Para resolver esta multiplicación de fracciones, tenemos que multiplicar numerador con numerador y denominador con denominador.

[tex]\frac{1\times5}{3\times6}=\frac{5}{18}[/tex]Hence, the first product is 5/18.

La segunda expresión es

[tex]\frac{2}{5}\times\frac{3}{7}[/tex]

Repetimos el mismo proceso para multiplicar.

[tex]\frac{2\times3}{5\times7}=\frac{6}{35}[/tex]Hence, the second product is 6/35.

Pls help: find the rational expression state any restrictions on the variable

Answers

Simplification of Rational Expressions

Given the rational expression:

[tex]\frac{n^4-10n^2+24}{n^4-9n^2+18}[/tex]

Simplify and state the restriction for the variable n.

Let's work on the numerator and denominator independently. Factoring the numerator:

[tex]\begin{gathered} n^4-10n^2+24=n^4-4n^2-6n^2+24 \\ n^4-10n^2+24=n^2(n^2-4)-6(n^2-4) \\ n^4-10n^2+24=(n^2-6)\mleft(n^2-4\mright) \end{gathered}[/tex]

The denominator can be factored in a similar way:

[tex]\begin{gathered} n^4-9n^2+18=n^4-3n^2-6n^2+18 \\ n^4-9n^2+18=n^2(n^2-3)-6(n^2-3) \\ n^4-9n^2+18=\mleft(n^2-3\mright)(n^2-6) \end{gathered}[/tex]

Thus, rewriting the expression:

[tex]\frac{n^4-10n^2+24}{n^4-9n^2+18}=\frac{(n^2-4)(n^2-6)}{(n^2-3)(n^2-6)}[/tex]

Before simplifying, we must state the restrictions for the variable. The denominator cannot be 0, thus:

[tex]\begin{gathered} n^2-3\ne0\Rightarrow n\ne\pm\sqrt[]{3} \\ n^2-6\ne0\Rightarrow n\ne\pm\sqrt[]{6} \end{gathered}[/tex]

Now simplify:

[tex]\frac{n^4-10n^2+24}{n^4-9n^2+18}=\frac{(n^2-4)}{(n^2-3)}[/tex]

Combining the final expression with the restrictions, we stick with choice a.

Solve the given equation over the interval [0, 2.2): 2 cos2 x + cos x + 15 = 0.X = 0 and x = 2.0T57x= - and x=66There are no real valued solutions for the equation.T371x= and x =2

Answers

The given function is

[tex]2\cos ^2x+\cos x+15=0[/tex]

Solve the equation to get:

[tex]\cos x=\frac{-1\pm\sqrt[]{1-4\ast2\ast15}}{4}=\frac{-1\pm\sqrt[]{-119}}{4}[/tex]

The square root of a negative number is not real hence there are no real valued solutions

Option C is correct.

find the 8th term of geometric sequence where a1=5, r= -2

Answers

for Given:

[tex]\begin{gathered} a_1=5 \\ r=-2​ \end{gathered}[/tex]

You need to remember that "r" is the Common ratio between the terms of the Geometric Sequence and this is the first term:

[tex]a_1_{}_{}[/tex]

The formula the nth term of a Geometric Sequence is:

[tex]a_n=a_1\cdot r^{(n-1)}[/tex]

Where "n" is the number of the term, "r" is the Common Ratio, and the first term of the sequence is:

[tex]a_1[/tex]

In this case, since you need to find the 8th term, you know that:

[tex]n=8[/tex]

Then, you can substitute all the values into the formula:

[tex]a_8=(5)(-2)^{(8-1)}[/tex]

Evaluating, you get:

[tex]\begin{gathered} a_8=(5)(-2)^{(7)} \\ a_8=(5)(-128) \\ a_8=-640 \end{gathered}[/tex]

Hence, the answer is:

[tex]a_8=-640[/tex]

Figure 1 and figure 2 below are similar. which po8nt corresponds to point U.

Answers

SOLUTION

Step 1 :

In this question, we have that Figure 1 and Figure 2 are similar.

The point that corresponds to point U is Point E.

A meteorologist collected data about wind speed in a city, in miles per hour, on consecutive days of a month. Her data is shown using the dot plot. Create a box plot to represent the data. (1 point)

dot plot titled Monthly Wind Speed and number line from 9 to 10 in increments of 1 tenth labeled Wind Speed (in miles per hour) with zero dots over 9, 1 dot over 9 and 1 tenth, 2 dots over 9 and 2 tenths, 1 dot over 9 and 3 tenths, 3 dots over 9 and 4 tenths, zero dots over 9 and 5 tenths, 1 dot over 9 and 6 tenths, 2 dots over 9 and 7 tenths, 1 dot over 9 and 8 tenths, zero dots over 9 and 9 tenths, and zero dots over

box plot with minimum value 9 and 2 tenths, lower quartile 9 and 3 tenths, median 9 and 5 tenths, upper quartile 9 and 8 tenths, and maximum value 9 and 9 tenths

box plot with minimum value 9 and 1 tenth, lower quartile 9 and 2 tenths, median 9 and 4 tenths, upper quartile 9 and 7 tenths, and maximum value 9 and 8 tenths

box plot with minimum value 9 and 1 tenth, lower quartile 9 and 3 tenths, median 9 and 4 tenths, upper quartile 9 and 6 tenths, and maximum value 9 and 8 tenths

box plot with minimum value 9 and 1 tenth, lower quartile 9 and 2 tenths, median 9 and 5 tenths, upper quartile 9 and 7 tenths, and maximum value 9 and 8 tenths

Answers

The correct box plot to represent the data on wind speed is:  minimum at 9.1, first quartile at 9.2, median at 9.4, 3rd quartile at 9.7, maximum at 9.8.

What is a boxplot?

A boxplot refers to a type of chart that can be used to graphically represent and show the five-number summary of a data set with respect to locality, skewness, and spread. Thus, the five-number summary include the following:

Minimum

First quartile

Median

Third quartile

Maximum

Based on the data on wind speed in a city, the minimum should be at 9.1, first quartile at 9.2, median at 9.4, 3rd quartile at 9.7, and  maximum at 9.8.

Learn more on boxplots here:

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Answer:

I believe the answer is C.

Step-by-step explanation:

The point starts at 91 then goes up all the way to 94 making that the line thing (I cant remember the terms) then the end of the box would be 97 because you want the line to end at the last dot thats on 98

I hope this isnt confusing thats just how I got C

Which picture below represents ?
5 2
10
Pls help

Answers

10 I think this is the answer

Answer:

b

Step-by-step explanation:

Find the direction angle of vector v to the nearest tenth of a degree.Equation editor does not include the grouping symbols "<" and ">" that are necessary for writing avector in component form. For this question, use braces to write a vector in component form. Forexample, the vector < 2,3> should be written as {2,3}.

Answers

Answer:

The direction angle is approximately 9.5 degrees

Explanation:

The vectors are {-5, 0} and {7, 2}

Direction vector is {7 - (-5), 2 - 0 } = {12, 2}

Direction angle is:

[tex]\tan^{-1}(\frac{2}{12})\approx9.5^o[/tex]

Triangle A B C has vertices (1,4),(5,6) and (3,10) It is reflected across the y axis forming triangle A’B’C’. What are the vertices of the new triangle?

Answers

Given:

The coordinates of triangle ∆ABC are (1,4), (5,6) and (3,10).

The triangle is reflected across y axis forming ∆A'B'C'.

The objective is to find the vertices of the new triangle.

Explanation:

If a triangle with coordinate (a,b) is reflected across y axis, then the change in reflected coordinate will be (-a,b).

If a triangle with coordinate (a,b) is reflected across x axis, then the change in reflected coordinate will be (a,-b).

To find vertices:

Since, the given triangle is reflected across y axis, then the vertices of new triangle will be,

[tex]\begin{gathered} A^{\prime}=(-1,4) \\ B^{\prime}=(-5,6) \\ C^{\prime}=(-3,10) \end{gathered}[/tex]

Hence, the vertices of the new triangle are (-1,4), (-5,6) and (-3,10).

Which equation represents the vertical line passing through (1,-9)?
A. x = -9
B.x = 1
C. y=-9
D. y = 1

Answers

Answer:

B is the correct equation.

Find an equation of a parabola that satisfies the given conditions.
Focus at (8,0), directrix x = -8

Answers

The equation of a parabola for the focus at (8,0), directrix x = -8 is found as y² = 32x.

What is meant by the term parabola?A parabola is an open plane symmetrical curve created by the intersection of the a cone and a plane parallel towards its side. A projectile's path under the effect of gravity ideally continues to follow a curve of the this shape.

The standard equation of parabola,

(y−n)² = 4p(x−m),

In which,

Vertex is (m,n)Axis of symmetry is y = mFocus is (p+m,n)Directrix is x =m−p.

For the given value in question;

p+m = 8

n = 0

m−p = -8

m = 0

p = 8

Put the obtained values in general equation;

y² = 4×8(x+0)

y² = 32x

Thus, the equation of a parabola for the focus at (8,0), directrix x = -8 is found as y² = 32x.

To know more about the parabola, here

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10. Write the slope-intercept form of the equation of the line through the given points. Write answer as y=mx+b. 1 po through: (0, 2) and (-5, -5) Your answer

Answers

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

[tex]\begin{gathered} m=\frac{y2-y1}{x2-x1} \\ m=\frac{-5-2}{-5-0} \\ m=\frac{-7}{-5} \\ m=\frac{7}{5} \\ \end{gathered}[/tex]

Now, what about b, the y-intercept?

[tex]\begin{gathered} b=y-mx \\ b=2-\frac{7}{5}(0) \\ b=2 \end{gathered}[/tex]

The equation of the line that passes through the points

[tex]y=\frac{7}{5}x+2[/tex]

PLEASE ANSWER Given: a = 7 and b = 2 Then the m∠A=_?_ . ROund to the nearest degree. Enter a number answer only.

Answers

Answer:

A = 74 degrees

Step-by-step explanation:

a = b tan A

tan A = a/b

tan A = 7/2

A = arctan 7/2

A = 74 degrees

8. Find the area of the shaded portion of the figure. 10.5cm

Answers

The area = area of the big rectangel - sum of the areas of the two circles

the diameter of each of the circles is 10.5cm

Hence, each circle has a radius of 10.5cm / 2 = 5.25cm

The length of the rectangle = the sum of the diameters of the circles

Therefore

The length of the rectangle = 10.5cm + 10.5cm = 21cm

The width of the rectangle = 10.5cm

Hence,

[tex]\begin{gathered} \text{area of shaded portion = 21}\times10.5\text{ - (}\pi\times5.25^2+\pi\times5.25^2) \\ =220.5-(55.125\pi)\approx47.32 \end{gathered}[/tex]

Hence the area of the shaded portion is 47.32 square centimeters

In ABCD, the measure of ZD=90°, CB = 53, BD = 45, and DC = 28. What ratiorepresents the sine of ZB?|

Answers

SOLUTION

Step 1 :

In this question, we asked to find the value of

[tex]\sin \text{ B}[/tex][tex]\begin{gathered} \text{where }\angle D=90^0 \\ BD\text{ = 45} \\ DC\text{ = 28} \\ BC\text{ = 53} \end{gathered}[/tex]

Step 2 :

We can are see clearly that 28 , 45, 53 ) iPythagoras' Triple, since:

[tex]28^2+45^2=53^2[/tex]

Step 3 :

[tex]\begin{gathered} \sin \text{ B = }\frac{28}{53} \\ =\text{ 0.5283} \end{gathered}[/tex]

CONCLUSION :

[tex]\sin \text{ B = 0.5283}[/tex]

Give two examples that illustrate the difference between a compound interest problem involving future value and a compound interest problem involving presentvalue.Choose the correct answer below.A. In a compound interest problem involving present value the goal is to find how much money has to be invested initially in order to have a certain amount inthe future. In a problem involving future value the goal is to find how much money there will be after a certain amount of time has passed given an initialamount to invest.B. In a compound interest problem involving present value the goal is to find how much money there will be after a certain amount of time has passed given aneffective annual yield. In a problem involving future value the goal is to find how much money has to be invested initially in order to have a certain effectiveannual yield in the future.OC. In a compound interest problem involving present value the goal is to find how much money there will be after a certain amount of time has passed given aninitial amount to invest. In a problem involving future value the goal is to find how much money has to be invested initially in order to have a certain amountin the future.

Answers

From the list of statements, let's select the examples that illustrate the difference between a compound interest problem involving future value and a compound interest problem involving present value.

Apply the compound interest formula:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

Where:

A represents the future value which is the final amount after a given period of time.

P represents the present value which is the initial amount invested.

When you are required to find the present value, the goal is to find how much money has to be invested initially in order to have a certain amount in the future. Here, the future value is always given.

When you are required to find the future value, the goal is to find how much money there will be after a certain amount of time has passed given an initial amount to invest. Here, the present value is always given.

Therefore, the correct examples are:

In a compound interest problem involving present value the goal is to find how much money has to be invested initially in order to have a certain amount in

the future. In a problem involving future value the goal is to find how much money there will be after a certain amount of time has passed given an initial

amount to invest.

ANSWER: A.

In a compound interest problem involving present value the goal is to find how much money has to be invested initially in order to have a certain amount in

the future. In a problem involving future value the goal is to find how much money there will be after a certain amount of time has passed given an initial

amount to invest.

the top of a rectangular box has an area of 42cm^2. The sides of the box have areas of 30cm^2 and 35cm^2. what are the dimensions of the box?

Answers

We have a rectangular box where we know the area of the faces and we have to find the width w, length l and height h.

The area of the top of the box is equal to the length times the width (l*w) and we also know that it is 42 cm², so we can write:

[tex]l\cdot w=42[/tex]

With the same logic, we can write the equations for the other two areas:

[tex]\begin{gathered} l\cdot h=30 \\ w\cdot h=35 \end{gathered}[/tex]

NOTE: the area we choose for l or w is indistinct,so we can relate it as we like.

Then, we can solve this system of equations substituting variables as:

[tex]\begin{gathered} l\cdot h=30\longrightarrow l=\frac{30}{h} \\ w\cdot h=35\longrightarrow w=\frac{35}{h} \\ l\cdot w=(\frac{30}{h})(\frac{35}{h})=\frac{1050}{h^2}=42 \\ h^2=\frac{1050}{42} \\ h^2=25 \\ h=\sqrt[]{25} \\ h=5 \end{gathered}[/tex]

With the value of h, we can calculate l and w:

[tex]\begin{gathered} l=\frac{30}{h}=\frac{30}{5}=6 \\ w=\frac{35}{h}=\frac{35}{5}=7 \end{gathered}[/tex]

Answer:

The dimensions of the box are: length = 6 cm, width = 7 cm and height = 5 cm.

can someone please help me find the valu of X?

Answers

We are asked to find the value of x.

As you can see, the two sides are parallel and when these parallel sides intersect sides of overlapping triangles then the intercepted segments are proportional.

So, we can set up the following proportion.

[tex]\frac{15}{6}=\frac{(3x+10)-8}{8}[/tex]

Let us solve the above equation for x.

[tex]\begin{gathered} \frac{15}{6}=\frac{3x+10-8}{8} \\ \frac{15}{6}=\frac{3x+2}{8} \\ 15\cdot8=6\cdot(3x+2) \\ 120=18x+12 \\ 120-12=18x \\ 108=18x \\ \frac{108}{18}=x \\ 6=x \\ x=6 \end{gathered}[/tex]

Therefore, the value of x is 6

43 pointThe length of a rectangular box is 5 inches longer than twice the width (x).The height is 6 inches.Which is the volume (y) when the width (x) is 9 inches

Answers

[tex]\begin{gathered} V=\text{ w}\cdot L\cdot h \\ V=9in\cdot(23in)\cdot6in=1242in^3 \end{gathered}[/tex]

L = 2*9+5=23

The width of a rectangular slab of concrete is 16 m less than the length. The area is 80m^2Part 1 of 3(a) What are the dimensions of the rectangle?The length of the slab is?

Answers

width = w

length = l

w = l - 16

area = w*l

(l - 16)*l = 80

l^2 - 16l = 80

l^2 - 16l - 80 = 0

(l + 4)(l - 20) = 0

then length = 20

w = 20 - 16 = 4

the width is 4

Round each number to the nearest ten. 24=311=107=

Answers

Round each number to the nearest ten. 24=

311=

107=​

When rounding to the nearest ten, use these rules:

A) Round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.

B) Round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.

C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

Step 1

24, the last digit is 4, so we round to the number down to the nearest ten

[tex]24\Rightarrow20[/tex]

311. the last digit is 1, so we round to the number down to the nearest ten

[tex]311\Rightarrow310[/tex]

107. the last digit is 7, so we round to the number up to the nearest ten

[tex]107\Rightarrow110[/tex]

I need the answer to this use fractions and pi

Answers

We are to find the positive and negative angles that are coterminal with

[tex]\frac{2\pi}{3}[/tex]

By definition

Coterminal Angles are angles that share the same initial side and terminal sides. Finding coterminal angles is as simple as adding or subtracting 360° or 2π to each angle, depending on whether the given angle is in degrees or radians

Hence,

The positive coterminal angle is

[tex]\frac{2\pi}{3}+2\pi[/tex]

Simplifying this we get

[tex]\begin{gathered} \frac{2\pi}{3}+2\pi \\ =\frac{2\pi+6\pi}{3} \\ =\frac{8\pi}{3} \end{gathered}[/tex]

Therefore, the positive coterminal angle is

[tex]\frac{8\pi}{3}[/tex]

The negative coterminal angle is

[tex]\begin{gathered} \frac{2\pi}{3}-2\pi \\ =\frac{2\pi-6\pi}{3} \\ =-\frac{4\pi}{3} \end{gathered}[/tex]

Therefore, the negative coterminal angle is

[tex]-\frac{4\pi}{3}[/tex]

write the equation of a circle given the center (-4, 4) and radius r = 5

Answers

Given : the center of the circle = (-4 , 4)

And the radius of the circle = r = 5

The general equation of the circle is :

[tex](x-h)^2+(y-k)^2=r^2[/tex]

Where (h,k) is the center of the circle and r is the radius of the circle

So, ( h , k ) = ( -4 , 4 ) and r = 5

so, the equation of the circle will be :

[tex]\begin{gathered} (x-(-4))^2+(y-4)^2=5^2 \\ \\ (x+4)^2+(y-4)^2=25 \end{gathered}[/tex]

find the slope/rate of the line represented by each table

Answers

The correct answer is 1/2 or 0.5

Pick 2 points in the table; (x = -10, y = 1) and ( x = 0, y = 6)

The Rate of Change is given by;

[tex]\text{slope = }\frac{y_2-y_1}{x_2-x_1}=\frac{6-1}{0--10}=\frac{5}{10}=\frac{1}{2}[/tex]

The rate of change is 1/2 or 0.5

Hence, the correct answer is 1/2 or 0.5

Dennis invest $4000 into an account that pays at a 3.5% interest rate compounded continuously. How many years will it take until Dennis has $6000 in his account? Round your answer to the nearest year 

Answers

Answer:

12 years

Explanation:

For an investment whose interest is compounded continuously, the amount in the account after t years is determined using the formula:

[tex]A(t)=P_oe^{rt}\text{ where }\begin{cases}{P_o=\text{ The amount invested}} \\ r=Interest\text{ }{Rate} \\ {t}=Time\end{cases}[/tex]

In our given problem:

• A(t) = $6,000

,

• Po = $4000

,

• r = 3.5% = 0.035

We want to find the value of t.

Substitute the given values into the formula:

[tex]6000=4000e^{0.035t}[/tex]

Then solve for t:

[tex]\begin{gathered} \text{ Divide both sides by 4000} \\ \frac{6000}{4000}=\frac{4000e^{0.035t}}{4000} \\ 1.5=e^{0.035t} \\ \text{ Take the ln of both sides:} \\ \ln(1.5)=\ln(e^{0.035t}) \\ 0.035t=\ln(1.5) \\ \text{ Divide both sides by }0.035 \\ \frac{0.035t}{0.035}=\frac{\operatorname{\ln}(1.5)}{0.035} \\ t=11.58 \\ t\approx12\text{ years} \end{gathered}[/tex]

It will take Dennis 12 years (rounded to the nearest year) before he has $6,000 in his account.

I need to use the formula for a trapezoid and find the area and perimeter

Answers

Hello there. To solve this question, we'll have to remember some properties about trapezoids and right triangles.

Given the following trapezoid:

We have to determine its area and perimeter.

For this, remember that:

The area of a trapezoid with bases B and b (larger and smaller, respectively) and height h can be found by the formula

[tex]A=\dfrac{(B+b)\cdot h}{2}[/tex]

The perimeter is the sum of the measures of all sides of the figure.

For the perimeter, we'll use the pythagorean theorem to determine the measure of the legs of the trapezoid.

Okay. Notice that in the trapezoid, the larger base B measures 41, the smaller base measures 21 and the height is 18.

By the formula for area, we get

[tex]A=\dfrac{(41+21)\cdot18}{2}=62\cdot9=558[/tex]

Now, notice we can determine a right triangle on the left:

To determine the legs of the triangle, we make

[tex]\dfrac{41-21}{2}=\dfrac{20}{2}=10[/tex]

Now we have a right triangle with legs 10 and 18.

Using the Pythagorean theorem:

[tex]a^2+b^2=c^2[/tex]

For a triangle with legs a and b and hypotenuse c, the sum of the squares of the legs is equal to the square of the hypotenuse.

Using a = 10 and b = 18, we get

[tex]\begin{gathered} 10^2+18^2=c^2 \\ 100+324=c^2 \\ 424=c^2 \\ 4\cdot106=c^2 \\ c=2\sqrt{106} \end{gathered}[/tex]

Since the other right triangle is the same, the other leg have the same measure, hence we add

[tex]\text{ Perimeter }=21+41+2\cdot2\sqrt{106}=62+4\sqrt{106}[/tex]

We can approximate this value using a calculator

[tex]\text{ Perimeter }\approx103.18[/tex]

While your family is visiting Deep Creek Lake, you and your mother decide to go to boating. The rangers charge $6.50 per hour in addition to a $25 deposit to rent a canoe. If the total cost to rent the canoe from 12:30 pm to 3:30pm, write and solve a linear equation to find the total cost to rent the canoe.

Answers

Given: The cost of renting a canoe is $6.50 per hour in addition to a $25 deposit.

Required: If the family rented the canoe from 12:30 PM-3:30 PM, write and solve a linear equation to find the total cost to rent the canoe.

Explanation: Let x denote the number of hours the family rented the canoe. Then the linear equation representing the total cost of renting the canoe is given by-.

[tex]Cost,\text{ }C=6.50x+25[/tex]

Now, since the family rented the canoe for 3 hours. Putting x=3 in the above equation gives,

[tex]\begin{gathered} Cost=6.50\times3+25 \\ Cost=\text{\$}44.50\text{ } \end{gathered}[/tex]

Final Answer: The equation representing the total cost of renting the canoe is-

[tex]C=6.50x+25[/tex]

And the total cost of renting the canoe for 3 hours is $44.50.

Part a: How many pieces are in the step functionpart b: how many intervals make up the step function? What are the interval valuespart c: why do we use open circles in some situations and closed in otherspart e are the pieces of this piecewise function linear or non linear?part f what is the range of this piecewise function?

Answers

a) The step function seen in the figure has 6 pieces, one for each step

b) There are 6 intervals, one for each piece. Their values are:

(0, 1]

(1, 2]

(2, 3]

(3, 4]

(4, 5]

(5, 6]

c) The open circles indicate that the endpoint is not included in the interval. The closed circles indicate the endpoint is included in the interval.

For example, in the second interval, 1 is not included (open circle) and 2 is included (closed circle).

d) This is a function because for eac value of x there iss one and only one of y. If the open circles were closed circles, then thi wouldnot be a function.

e) All the pieces are linear because their graph is a line (flat horizontal line)

f) The range of the function is the set of output values:

Range = {46, 48, 50, 32, 54, 56}

(G.11a, 1 point) Points A, C, D, and E are on circle P. 136° 1340 Ε E If arc AD measures 136° and 2 ABD measures 134º, what is the measure of arc CE? o A 152 O B. 67 o C. 116 D. 132

Answers

D. 132º

1) Given that in this circle crossed by two secant lines we can state the following Theorem:

2) then we can write:

[tex]\begin{gathered} m\angle ABD=\frac{AD\text{ +CE}}{2} \\ 134=\frac{136+CE}{2} \\ 134\text{ }\times2=136+CE \\ 268=136+CE \\ CE\text{ =268-136} \\ CE=132 \end{gathered}[/tex]

So the measure of the arc CE = 132º (D)

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Convert the following equation
into slope intercept form.
x-13y = 26
y = x -
Copyright ©ano-ana International Academy of Science. All Rights Reserved
10
Enter

Answers

Answer:

y=x+2

Step-by-step explanation:

x-13y=26

Bring the x to the other side

-13y=x+26

To get y by itself divide both sides by -13

-13y       =    x-26

-----------     -----------

   -13              -13

y=x+2

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The graph below has the same shape as the graph of G(x) = x?, but it isshifted down five units and to the left four units. Complete its equation. Enterexponents using the caret (1); for example, enter x2 as x^2. Do not include"F(x) =" in your answer Given that the charge on an electron is -1.6 x 10^-19 Coulombs, what is the magnitude of the electric force on an electron in Newtons when it is placed in an electric field of strength 12,000 Volts/m? A)1.6 x 10^-19 B)3.2 x 10^-19 C)1.92 x 10^-15 D)6.4 x 10^-19 E)4.5 x 10^22 A small jet can fly 889 miles in 3.5 hours with a tailwind but only 651 miles in 3.5 hours into a headwind. Find the speed of the jet in still air and the speed of the wind. *Be sure to simplify fractions and rationalize denominators if necessary. Answer the question below based on the two quadratic functions.Function 2yFunction 1f(x) = x2 + 4x - 3-7-8-2.-1012.-7-41Which function has the graph with the smaller minimum value and what is the minimum value?Function 1 has the smaller minimum value of -2.Function 2 has the smaller minimum value of -1.Function 1 has the smaller minimum value of -7.O Function 2 has the smaller minimum value of -8. Michael and his sister Mel share the job of mowing the grass in their yard. Michael mows 1/3 of the yard, and Mel mows the rest. Mel can mow 3/4 of the entire yard in an hour. 1. How long will it take Mel to finish mowing her part of the yard?2. After Michael mows 1/3 of the yard, what fraction of the yard does Mel need to mow? Explain.3. Write a fraction division problem that you can use to find out how long it will take Mel to finish mowing the yard.4. How long will it take Mel to finish mowing the yard? Show your work. Kenneth read a total of 320 pages over 32 hours. After a total of 42 hours of reading this week, how many pages will Kenneth have read in all? Assume the relationship is directly proportional. Find the geometric mean of the sequence: 2112,______,33 In the following expression, identify variables, values, and operators. Evaluate the result of the expression (assume that the value of the variable X is 1).Variable(s):Values(s):Operator(s):Result of the expression: hello. i just need a little helping hand on this thank you how did darwins observations support lyells theory of an ancient earth undergoing continual geologic change f(x +h)-f(x)For the function defined as follows, find (a) f(x + h), (b) f(x + h) f(x), and (c)f(x)= 4/x Which expression is equivalent to 3 (m + 2) 6 (2m + 4)? 15m + 30 15m + 3 - 9m - 18 -9m + 30 Given the balanced equation below:3Cu + 8HNO3 3Cu(NO3)2 + 2NO + 4H2OThe total number of grams of Cu neededto produce 188 grams of Cu(NO3)2 is? Solve for y.2y^2 - 10y + 44=(y-7)^2If there is more than one solution, separate them with commas. You are lying in bedA)List the internal forces that are acting on the mattressB)What is the external force acting on the mattress Which of the following BEST defines the meaning of the underlined word in the sentence below?A citizen owes allegiance in exchange for certain rights.A.money in the form of taxationB.a citizens loyalty to his or her governmentC.unquestioned obedience to all government lawsD.a sworn oath not to protest the government in any form, peaceful or violent I need help finding an answer to a math question. I just need to know how to solve it. The question is:A gallon of water weighs 8.34 pounds. The Patel family has a round, 12-foot diameter, above-ground pool. How much weight is added to the pool when it is filled with 3,110 gallons of water? What must be the genotype of a couple that has a 100% chance of producing offspring that areheterozygous for the PTC taster gene? Which of the following sets is a finite set of rational numbers