The given function is
[tex]f(x)=3-x[/tex]To graph this linear function we have to complete a table of values. We replace each x-value in the function to get each y-values to form coordinated pairs.
x f(x)
-2 5
-1 4
0 3
1 2
Let's do the calculations for each f(x) value.
[tex]\begin{gathered} f(-2)=3-(-2)=3+2=5 \\ f(-1)=3-(-1)=3+1=4 \\ f(0)=3-0=3 \\ f(1)=3-1=2 \end{gathered}[/tex]At last, we have to graph each point and draw a straight line. The graph below shows the graph for the function.
Select the following that are true.Select one or more:a.If a quadrilateral is a square, then it is a rectangle.b.If a quadrilateral is a square, then it is a parallelogram.c.If a quadrilateral is a rhombus, then it is a parallelogram.d.If a quadrilateral is a rectangle, then it is a rhombus.e.If a quadrilateral is a square, then it is a rhombus.f.If a quadrilateral is a parallelogram, then it is a rectangle.
a. One of the properties of squares is all sides are congruent (they have the same length) and this is not a property of rectangles. But the square is a special rectangle since it fits in the properties of rectangles, but rectangles are not squares. In this case, this is TRUE.
b. A parallelogram is a quadrilateral with two pairs of opposite parallel sides and the opposite sides are congruent. The square fits into this description, so this is TRUE.
c. A rhombus has four equal opposite parallel sides, so we can say it fits into the parallelogram definition. This is TRUE.
d. As we said in part a, a rectangle doesn't have all of its sides congruent, but the rhombus does. Then, this is FALSE.
e. Squares have four equal opposite parallel sides, and rhombus too. Then, a square is a rhombus. This is TRUE.
f. Not all parallelograms have the properties of rectangles, then this is FALSE.
If sides AB and DC of a quadrilateral ABCD are parallel, which additional informationwould be sufficient to prove that quadrilateral ABCD is a parallelogram.ABACABDCACBDADABNone of the other answers are correct
We have a quadrilateral ABCD, where we know that AB || DC.
The other condition for the quadrilateral to be a parallelogram is that the other 2 sides of the parallelogram are congruent.
The other two sides are AC and BD, so the other condition needed is that AC and BD are congruent.
Answer: AC and BD are congruent.
[tex]AC\cong BD[/tex]Please help me with this quickly, I need to go to sleep, thank you
x = -43/4
Explanation:Given:
[tex]\frac{17-4x}{12}=5[/tex]To find:
the value of x
[tex]\begin{gathered} \frac{17-4x}{12}=5 \\ multiply\text{ both sides by 12:} \\ 17\text{ - 4x = 5\lparen12\rparen} \\ 17\text{ - 4x = 60} \end{gathered}[/tex][tex]\begin{gathered} add\text{ 4x to both sides:} \\ 17\text{ -4x + 14x = 60 + 4x} \\ 17\text{ = 60 + 4x} \\ \\ subtract\text{ 60 from both sides:} \\ 17\text{ - 60 = 4x} \\ -43\text{ = 4x} \\ \\ divide\text{ boh sides by 4:} \\ x\text{ = -43/4} \end{gathered}[/tex]i have an answer in mind i just need to make sure its correct
The names of the angles are ; ∠XYZ , ∠ ZYX or ∠1
Here, we want to give three different ways in which we can name the angle
To name the angle, we can use the two end points and the location of the angle itself as angle
This can be ∠ZYX or ∠XYZ
Lastly, we can make use of the labeling on the angle itself
The name can be ∠1
Solve |x| < 12 a{ x| x < -12 or x > 12}b { x|-12 < x < 12} c{-12, 12}Pllzzzzz alot of points
We need to solve the inequality:
[tex]|x|<12[/tex]The Hudson family is saving for a
family vacation to Disney World.
They determine that the trip will
cost $3,200. Mr. and Mrs.
Hudson have already set aside
$1,500 for the trip. If they leave
in 16 weeks, then how much
will they need to save
each week?
The amount of money that Hudson will need to save each week is $106.25.
How to calculate the value?From the information, they determine that the trip will cost $3,200. Mr. and Mrs. Hudson have already set aside $1,500 for the trip.
Let the amount saved each week be represented as w.
Based on the information given, this will be illustrated as:
1500 + 16w = 3200
Collect like terms
16w = 3200 - 1500
16w = 1700
Divide
w = 1700 / 16
w = 106.25
The amount is $106.25.
Learn more about money on:
brainly.com/question/24373500
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one-half of a number y is more than 22
1) Writing that statement as an inequality we have:
[tex]\begin{gathered} \frac{y}{2}>22\text{ } \\ Multiplied\text{ by 2 on both sides} \\ y>44 \end{gathered}[/tex]2) Hence, we can say that if one-half of a number y is more than 22
then y > 44
For f(x) = 2x and g(x) = x,find f (g(2))
6/2(1+2)help me with math problem
Graph the polar equation.P = 16 cos20帶이
To make the graph we need to make a table with different pairs of angles and radius.
We can start with θ = 0, and calculate the radius for different values of θ. (π/6, π/3, π/4 and so on. Then, you can join the points.
The equation for radius will be:
[tex]\begin{gathered} r^2=16\cos 2\theta \\ r=\sqrt[]{16\cos2\theta} \\ r=4\cdot\sqrt[]{\cos2\theta} \end{gathered}[/tex][tex]\begin{gathered} \text{for }\theta=0 \\ r=4\cdot\sqrt[]{\cos2\cdot0} \\ r=4\cdot\sqrt[]{\cos0} \\ r=4\cdot\sqrt[]{1} \\ r=4 \end{gathered}[/tex]Then, in the line of θ = 0, you draw a point in the fourth circle.
Then, we get the following table of values:
θ r
04.00
π/63.72
π/43.36
π/32.83
π/20.00
Note that we can't evaluate angles whose cosine is negative (angles in quadrants 2 and 3) since we would be trying to calculate the square root of a negative number, which does not exist among real numbers. Then, we will evaluate angles in the first quadrant (already done) and the 4th quadrant.
θ r
-π/63.72
-π/43.36
-π/32.83
-π/20.00
In the last table we use negative angles, they can be "translated" to positive:
-π/6= π/6
-π/4= 7π/4
-π/3= 5π/3
-π/2= 3π/2
Now, we can draw the points:
Joining the points:
how many kiloliters are in 32,500 centiliters325 kl3,250,000,000 kl32.5 kl0.325 kl
0.325 kl
Explanation:We need to convert from centiliters to Kiloliters:
[tex]\begin{gathered} 1liter=100^{}\text{centiliter} \\ 1\text{ kilo = 1000} \\ 1\text{ kiloliter = 1000liter} \\ 1\text{ kiloliter = 100000 centiliter} \end{gathered}[/tex][tex]\begin{gathered} 100000\text{ centiliter = }1\text{ kiloliter} \\ 32500\text{ centiliter = }\frac{\text{32500(1)}}{100000} \\ \text{= }\frac{32500}{100000} \\ 32500\text{ centiliter }=\text{ 0.325 kl} \end{gathered}[/tex]QuestionWrite the following function in terms of its cofunction.csc (pi/4)
Two functions are called cofunctions if they are equal on complementary angles
[tex]\csc \theta=\sec (\frac{\pi}{2}-\theta)[/tex]Since
[tex]\theta=\frac{\pi}{4}[/tex]Substitute it in the rule above
[tex]\csc (\frac{\pi}{4})=sec(\frac{\pi}{2}-\frac{\pi}{4})[/tex][tex]\csc (\frac{\pi}{4})=\sec (\frac{\pi}{4})[/tex]The cofunction is sec(pi/4)
Solve M=2rt^3-3rx for x
You have the following equation:
M = 2rt³ - 3rx
In order to solve the previous equation for x, proceed as follow:
M = 2rt³ - 3rx subtract 2rt³ both sides
M - 2rt³ = -3rx divide by -3r both sides
(M - 2rt³)/(-3r) = x simplify left side
-M/3r + 2/3 t³ = x
2. Find each of the following products of monomials. (a) (3x?) (10x) (b) (-2x)(-9x) (c) (4x+y)(8x*y) (d) (5x) (e) (-41)(-151") 2 (f) (7x)(5xy^) ** | (12x) (h) (2xP)(5x)(-6x4)
In order to solve the products between the followings monomials you take into account that the multiplication is in between coefficients, and also you take into account that it is necessary to multiply the involved signs.
a)
[tex](3x^3)(10x^4)=(3)(10)x^{^{3+4}}=30x^7[/tex]when the product is between the same variable but different exponents, you sum the exponents
b)
[tex](-2x^5)(-9x)=(-2)(-9)x^{5+1}=18x^6[/tex]where you have used that minus multiplied by minus is equal to positive
c)
[tex](4x^2y)(8x^5y^3)=(4)(8)x^{2+5}y^{1+3}=32x^7y^4[/tex]where you sum the exponents of x and y
d)
[tex](5x^4)^2=(5)^2(x^4)^2=25x^{4\cdot2}=25x^8[/tex]In the case in which you have a variable with an exponent, power to another exponent, these exponents must be multiplied. The coeeficient also has to be exponentiated
e)
[tex](-4t^2)(-15t^5)=(-4)(-15)t^{2+5}=60t^7[/tex]f)
[tex](7x)(5xy^4)=35x^2y^4[/tex]g)
[tex](\frac{2}{3}x^4)(12x)=\frac{2\cdot12}{3}x^5=8x^5[/tex]f)
[tex](2x^2)(5x)(-6x^4)=(2)(5)(-6)x^{2+1+4}=-60x^7[/tex]where you multiply all coefficientes and signs, and sum the exponents of x
Look again at the table of refrigerator sizes and prices. Is the relation a function?A. The relation is not a function. All input values are paired with only oneoutput value.B. The relation is not a function. Some of the input values are paired withmore than one output value.C. The relation is a function. The input values are paired with more than oneoutput value.D. The relation is a function. All input values are paired with only one outputvalue.HINTSUBMIT
B. The relation is not a function. Some of the input values are paired with
more than one output value.
Explanation
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Step 1
Identify the input values and compare with the outputs
as we can see one input is related to TWO outputs, for example
[tex]\begin{gathered} 1.7\rightarrow80 \\ 1.7\rightarrow79 \end{gathered}[/tex]hence, the relation is not a function
B. The relation is not a function. Some of the input values are paired with
more than one output value.
I hope this helps you
Solve for 2. Enter the solutions from least to greatest.(x + 6)2 – 16 = 0lesser 1 =greater I =
The given expression is
[tex](x+6)^2-16=0[/tex]First, we add 16 on each side
[tex]\begin{gathered} (x+6)^2-16+16=16 \\ (x+6)^2=16 \end{gathered}[/tex]Then, we apply a square root on each side
[tex]\begin{gathered} \sqrt[]{(x+6)^2}=\sqrt[]{16} \\ x+6=\pm4 \end{gathered}[/tex]Now, we subtract 6 from each side
[tex]\begin{gathered} x+6-6=\pm4-6 \\ x_1=4-6=-2 \\ x_2=-4-6=-10 \end{gathered}[/tex]Therefore, the lesser solution is -10 and the greater solution is -2.Calculate the volume of the rectangular prism.A. 179 cm³B. 187 cm³C. 189 cm³D. 198 cm³
ANSWER
[tex]C.\text{ }189\text{ }cm^3[/tex]EXPLANATION
We want to calculate the volume of the rectangular prism.
The volume of a rectangular prism is given by:
[tex]V=L*W*H[/tex]where L = length
W = width
H = height
Therefore, the volume of the rectangular prism is:
[tex]\begin{gathered} V=9*7*3 \\ \\ V=189\text{ }cm^3 \end{gathered}[/tex]The answer is option C.
12 posters for 36 students 21 poses for 36 students
In order to find Lorenzo's speed in miles per hour, we need to convert from yard to mile and from second to hour. The rates are:
1 yard = 1/1760 miles
1 second = 1/3600 hours
So we have that:
[tex]\text{speed}=5\frac{yards}{\sec ond}=5\frac{\frac{1}{1760}miles}{\frac{1}{3600}hour}=5\frac{3600}{1760}\frac{miles}{hour}=10.227\text{ miles/hr}[/tex]Lorenzo can ride 10.227 miler per hour.
hey ms or mr can you please help me out?
B'C' = 3BC
Explanations:Note:
When a figure is dilated by a scale factor, a similar figure of the same shape but of different size is formed.
When a triangle ABC is dilated by a scale factor of 3, the vertices of the image of ΔA'B'C' formed will have a distance from the center of dilation that is three times that of the vertices of ΔABC
Therfore:
A'B' = 3AB
B'C' = 3BC
A'C' = 3AC
The correct choice is option B
That is, B'C' = 3BC
???????????????????
Given,
g(x) = - x^2
now, in part (b), we have to find g(-2)
It can be done by replacing the value of x with -2, so
g(x) = - x^2
g(-2) = - (-2)^2
g(-2) = - 4
Part d:
g(m) = ?
So, here we will put the 'm' value in place of x.
g(x) = - x^2
g(m) = - (m)^2
g(m) = -m^2
Which kind of symmetry does the letter D have?A. point symmetry, onlyB. line symmetry, onlyC. neither point nor line symmetryD. both point and line symmetry
Analysing the letter D, we can find the following symmetry (in red):
There is no point of symmetry. Therefore, the correct option is B.
Multiply the following [tex] \sqrt{ - 15} \times \sqrt{ - 15} [/tex]
Answer: -15
Given:
[tex]\sqrt[]{-15}\times\sqrt[]{-15}[/tex]Since the radical rule states that:
[tex]\begin{gathered} \sqrt[]{a}\sqrt[]{a}=a \\ \Rightarrow\sqrt[]{-15}\times\sqrt[]{-15}=-15 \end{gathered}[/tex]Therefore, the answer is -15.
See question below as I tried to ask another tutor
Given the word problem, we can deduce the following information:
1. The formula V=2.5r can be used to estimate the maximum safe velocity,v, in miles per hour, at which a car can travel if it is driven along a curved radius of curvature r in feet.
2. The radius of curvature is 280 feet.
To determine the maximum safe speed, we use the given formula as shown below:
[tex]V=2.5r[/tex]where:
V= Maximum safe velocity in miles per hour
r=radius of curvature = 280 feet
We plug in what we know:
[tex]\begin{gathered} V=2.5r \\ =2.5(280) \\ Calculate \\ V=700\text{ }\frac{miles}{hour} \end{gathered}[/tex]Therefore, the maximum safe speed is 700 miles per hour.
I need help with math please
1. 92 .
2. 7
3. >=<
4. -
5. 8x3=24
Step-by-step explanation:
Jackson types 120 words in 2 minutes. Enter the number of words Jackson types in 4 minutes at this ratewords
if in 2 minutes Jackson Typed 120 words, in 4 minutes will type twice the amount. SO
[tex]w=120\cdot2=240[/tex]he will type 240 words in 4 minutes
Question 7 using radians, find the amplitudeand period of each function and graph it
Given:
y = 4 sin 4θ
The amplitude is 4.
Period:
[tex]\begin{gathered} P=\frac{2π}{B};\text{ }hence: \\ \\ P=\frac{2π}{4}=\frac{π}{2} \end{gathered}[/tex]The period is π/2.
Graph:
What be it’s value, to the nearest thousand dollars, in 13 years?
The Solution:
The value of the house in 13 years time can be calculated using the formula below:
[tex]F\mathrm{}V=P\mathrm{}V(1+\frac{r}{100})^n[/tex]In this case,
[tex]\begin{gathered} FV=\text{future value (value after 13 years)=?} \\ PV=\text{present value= \$249000} \\ r=\text{ rate \%=10.5\%} \\ n=\text{ number of years=13 years} \end{gathered}[/tex]Substituting these values in the formula above, we get
[tex]FV=249000(1+\frac{10.5}{100})^{13}=249000(1+0.105)^{13}[/tex][tex]FV=249000(1.105)^{13}=911819.68\approx\text{ \$911820}[/tex]Thus, the value of the house in 13 years is $911820 (to the nearest dollars)
A triangle has side lengths of 5,6 and 8. Is it a right triangle?Explain why or why not?
ANSWER
Not a right triangle
EXPLANATION
In a right triangle, the hypotenuse is always the longest side. If these are the side lengths of a right triangle, the sides would be,
The Pythagorean theorem must be true for any right triangle,
[tex]8^2=5^2+6^2[/tex]Let's see if it is indeed true,
[tex]64=25+36[/tex][tex]64=61\to not.true[/tex]If the Pytagorean theorem is nort true, then this is not a right triangle
A sales person is given a choice of two salary plans. Plan 1 is a weekly salary of 700 plus 4% commission of sales. Plan 2 is a straight commission of 12%Of sales. How much in sales must he make in a week for both plans to result in the same salary?
Let 's' represent the amount of sales.
Plan 1:
[tex]\text{ \$700 + (4\% of s)}[/tex][tex]\begin{gathered} \text{ \$700+(}\frac{\text{4}}{100}\times s) \\ \text{ \$700+(0.04}\times s)=\text{ \$700}+0.04s \end{gathered}[/tex]Plan 2:
[tex]12\text{ \% of s}[/tex][tex]\begin{gathered} \frac{12}{100}\times s \\ 0.12\times s=0.12s \end{gathered}[/tex]Equating the two plans together and solving for the amount of sales,
[tex]\begin{gathered} \text{Plan 2=Plan 1} \\ 0.12s=\text{ \$700+0.04s} \\ \end{gathered}[/tex]Collecting like terms,
[tex]\begin{gathered} 0.12s-0.04s=\text{ \$700} \\ 0.08s=\text{\$700} \end{gathered}[/tex]Divide both sides by 0.08,
[tex]\begin{gathered} \frac{0.08s}{0.08}=\frac{\text{ \$700}}{0.08} \\ s=\text{ \$8750} \end{gathered}[/tex]Hence, the amount of sales is $8,750.
how do I solve for x intercepts of this equation. I'm having trouble solving it.[tex]y = 2x ^{2} + 12x + 13[/tex]
To find the x-intercepts of this equation, substitute y by 0 at first
[tex]0=2x^2+12x+13[/tex]Now we need to factor this equation into 2 factors
We need 2 numbers their sum = 12 (the middle term)
But we can not find them mentally, then we will use the formula
[tex]x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}[/tex]a is the coefficient of x^2
b is the coefficient of x
c is the numerical term
a = 2, b = 12, c = 13
Let us substitute them in the rule to find x
[tex]\begin{gathered} x=\frac{-12+\sqrt[]{(12)^2-4(2)(13)}}{2(2)} \\ x=\frac{-12+\sqrt[]{144-104}}{4} \\ x=\frac{-12+\sqrt[]{40}}{4} \end{gathered}[/tex]We will simplify the root
[tex]x=\frac{-12+2\sqrt[]{10}}{4}[/tex]Divide up and down by 2 to simplify the fraction
[tex]x=\frac{-6+\sqrt[]{10}}{2}[/tex]The 2nd root will be the same number but a different middle sign
[tex]x=\frac{-6-\sqrt[]{10}}{2}[/tex]The x-intercepts are
[tex](\frac{-6+\sqrt[]{10}}{2},0)\text{and(}\frac{-6-\sqrt[]{10}}{2},0)[/tex]