Create an equation of a line in point-slope form. Be sure to identify all parts of the equation before writing the equation.

Answer:

y= 25x^2 -4

Step-by-step explanation:

y=(5x+2)(5x-2)

y= 5x(5x-2)+2(5x-2)

y= 25x^2- 10x + 10x -4

here we cancel +10 and -10

y= 25x^2 -4 . Answer

Given:

2+4+6+8+10+.....+50

Let the sum of the first n natural numbers be

Therefore the sum of first 25 positive even numbers is

Therefore,The sum is the product of the number of terms and the number of terms plus one.

Option B is the correct answer.

sin^-1 (-1/2) is 30 degrees measured from the x-axis in the clockwise direction, that is, in the fourth quadrant.

The below figure serves as a reference for quickly determining the sines (y-value) and cosines (x-value) of angles that are commonly used in trigonometry. As can be seen from the figure, sine has a value of 0 at 0° and a value of 1 at 90°. Cosine follows the opposite pattern; this is because sine and cosine are cofunctions (described later). The other commonly used angles are 30° (), 45° (), 60° () and their respective multiples. The cosine and sine values of these angles are worth memorizing in the context of trigonometry, since they are very commonly used.

One method that may help with memorizing these values is to express all the values of sin(θ) as fractions involving a square root. Starting from 0° and progressing through 90°, sin(0°) = 0 = . The subsequent values, sin(30°), sin(45°), sin(60°), and sin(90°) follow a pattern such that, using the value of sin(0°) as a reference, to find the values of sine for the subsequent angles, we simply increase the number under the radical sign in the numerator by 1, as shown below.

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y=2x²-4x-16 will be the required equation of parabola as the x-intercepts of parabola is (-2, 0) and (4, 0) and a = 2.

A parabola is an approximately U-shaped, mirror-symmetrical plane curve in mathematics. It corresponds to a number of seemingly unrelated mathematical descriptions, all of which can be shown to define the same curves. A parabola can be described using a point and a line. Drawing a parabola for the quadratic function f(x) = ax² + bx + c results in a U-shaped curve. When an is less than zero, the parabola's graph is downward (or opens downward). Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.

Here,

y = a(x − p)(x − q)

p=-2

q=4

a=2

y=2(x--2)(x-4)

y=2(x+2)(x-4)

y=2(x²-4x+2x-8)

y=2x²-4x-16

The necessary parabola equation will be y=2x²-4x-16 since its x-intercepts are (-2, 0) and (4, 0) and its value of a is 2.

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Answer: y=18, x=30

Step-by-step explanation:

$164327.5 is  the total profit made from the sale of 120 robot kits

A model function is a way of describing a real-life system or situation using mathematical concepts and language

Given: the model function for profit, P(x) = 0.1x³ - 0.6x² + 1.4x-0.5

To determine the total profit from the sale of 120 robot kits, substitute x = 120 into the profit function:

P(x) = 0.1x³ - 0.6x² + 1.4x-0.5

P(120) = 0.1(120)³ - 0.6(120)² + 1.4(120) - 0.5

P(120) = 172800 - 8640 + 168 - 0.5

P(120) = $164327.5

Therefore, the total profit from the sale of 120 robot kits is $164327.5

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The equation of line h is y = -2x - 9

We say that two lines (on the same plane) are parallel to each other

if they never intersect each other, regardless of how far they are extended on either side.

In such lines, their gradient or slope are always equal.

if y - 8 = -2(x -4) is line g it can be written in slope intercept form as

y = 8 - 2(x - 4)

multiply out the bracket,

y = 8 -2x +8

y = -2x + 16

if equation of straight line is y = mx + c

comparing the two equations

slope(m) = -2

This slope is same for line h since they are parallel

for line h, m = -2, x = -5, y = 1

if y = mx + c

Then,

1 = -2(-5) + c

1 = 10 + c

c = 1 - 10

c = -9

equation of line h is y = -2x - 9

In conclusion the new equal of line h passing through point (-5, 1) is y = -2x - 9

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Given:

Find-: what does point (10,67873) represent.

Sol:

Where,

At point.

Point (10, 67873) represents after the 10-year value of the random tractor is 67873.

Check value for x = 10 year.

Determine the y-intercept of the equation -x + 2y = 10

a. 1

b.-10

C. 5

d. 2

__________________________________________

y-intercept is (0, b)

y = mx +b

-x + 2y = 10

2y = x +10

y = 1/2 x + 5

______________

if x= 0

y= 1/2 *0 +5

y= 5

____________________

The y-intercept is (0, 5 )

The answer is c

The tallest bar on a a histogram represents the greatest frequency.

From the options, the greatest frequency is 18.

Answer: C. 18.

The point slope of an equation for the line graphed is y - 1 = 4 ( x + 1).

To find the point slope of an equation for the line graphed:

First you have to find the slope which is 4. To get that you get 2 points and do rise/run. I chose the 2 points (-2,-3) and (-1,1).

Since the formula for point-slope form is:

Here [tex](y-y_{1}) = m(x-x_{1})[/tex], the equation should pass through the point (-1,1)

Therefore, the point-slope form is:

y - 1 = 4 ( x + 1)

Hence the answer is, The point slope of an equation for the line graphed is y - 1 = 4 ( x + 1).

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Answer: 9.7 seconds

Step-by-step explanation:

[tex]16t^2 =1503\\\\t^2 =1503/16\\\\t=\sqrt{1503/16} \text{ } (t > 0)\\\\t \approx 9.7[/tex]

The value of x after solving the fraction [tex]-\frac{1}{3}\left(9x+42\right)-5x=-70[/tex]  is 7.

Given fraction:

⇒ [tex]-\frac{1}{3}\left(9x+42\right)-5x=-70[/tex]

⇒ -9x/3 - 42/3 - 5x = -70

⇒ -3x - 14 - 5x = -70

⇒ -8x -14 = -70

⇒ -8x = -70 + 14

⇒ -8x = -56

⇒ 8x = 56

divide by 8 on both sides

8x/8 = 56/8

x = 56/8

x = 7.

Therefore The value of x after solving the fraction [tex]-\frac{1}{3}\left(9x+42\right)-5x=-70[/tex]  is 7.

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For lines to be parallel, the slope has to be the same.

For lines to be perpendicular, the slope has to be the negative reciprocal.

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The answer to the given question is 32. There are 32 natural numbers less than 200 which are divisible by 4 but not divisible by 3.

What are natural numbers?

Natural numbers are those numbers used for counting and ordering. Numbers that used for counting are called cardinal numbers, and numbers that used for ordering are called ordinal numbers. Natural numbers are positive numbers which start from one up to infinity.

Now, to answer the question, firstly we need to find out all the natural numbers which are less than 200 and divisible by 4. We need to find out all those numbers that can be divided by 4, start from 4 up to 200. Those numbers are:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 54, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 94, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 154, 156, 160, 164, 168, 172, 176, 180, 184, 188, 192, 194, 196, 200

So, there are 50 natural numbers that are less than 200 and divisible by 4.

Now, we need to find out the numbers that are divisible by 3 among these numbers. We need to find out all those numbers that are divisible by 3, start from 4 up to 200. Because 4 is the first number among the numbers that we found out earlier which are divisible by 4. And the numbers are:

12, 24, 36, 48, 54, 60, 72, 84, 96, 108, 120, 124, 132, 144, 156, 168, 180, 192

There are 18 natural numbers in total.

Hence, natural numbers less than 200 which are divisible by 4 but not divisible by 3 is 50 – 18 = 32.

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Answer:bro need more classification

Step-by-step explanation:

Solution:

Given the shape;

Acute angles measure less than 90 degrees.

Right angles measure 90 degrees.

Obtuse angles measure more than 90 degrees.

ANSWER:

Answer:

A = 48 cm^2

P = 38

Step-by-step explanation:

Area:
We can calculate the area of the more left shape first. We know that one side is 9 cm, but the second side is trickier. For the second side, we need to take the total measurement of the bottom area and subtract it from 6, because that is the part of the 10 cm we don't need. This gives us the first box is 9 cm x 4 cm = 36 cm^2. Then for the second box, we take the 6 cm and 2 cm giving us 6 cm x 2 cm = 12 cm^2. 36 cm^2 + 12 cm^2 = 48 cm^2.

Perimeter:
We will take all of the easy measurements first. We take 9 + 10 + 2 + 6 = 27 cm. Then we need to take 6 away form 10 again giving us 4, and 2 away from 9, giving us 7. 27 + 4 cm + 7 cm = 38 cm.

Given g(x) = 3x - 5 and h(x) = 2x - 4.

We need to find (g o h)(x).

The composition of function is as follows:

Thus, the answer is 6x - 17.

Answer:

True

Step-by-step explanation:

Using the perpendicular bisector theorem, we have the following:

then we can write the following equation:

solving for x, we have:

we get x = 8. Then, the length of FH is:

therefore, FH = 16

Based on the relationship in the given table the correlation coefficient is -0.9985 .

Let us define a few variables first.

X: X Values

Y: Y Values

Mx: Mean of X Values

My: Mean of Y Values

Deviation scores = X - Mx , Y - My

Deviation Squared = variance = (X - Mx)² , (Y - My)²

Product of Deviation Scores = (X - Mx)(Y - My):

Now we will use the defined variables to calculate the correlation coefficient

X Values

∑ = 118.5

Mean = 11.85

∑(X - Mx)² = Sx = 1283.705

Y Values

∑ = 206

Mean = 20.6

∑(Y - My)² = Sy = 16804.4

X and Y Combined

N = 10

∑(X - Mx)(Y - My) = -4637.7

R Calculation

r = ∑((X - My)(Y - Mx)) / √((Sx)(Sy))

r = -4637.7 / √((1283.705)(16804.4)) = -0.9985

The correlation coefficient is the only statistical measure of the given strength of a linear relationship that is amongst the two variables. Its values normally  range from -1 to 1.

Based on a correlation coefficient of 1, which indicates a completely negative or inverse relationship, values in one series increase as those in the other decline, and vice versa.

Hence the correlation coefficient is -0.9985

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Answer:

10^5

Step-by-step explanation:

10 was being multiplied with itself 5 times

Answer: 10^5

Step-by-step explanation:

10^5 is the same as saying 10x10x10x10x10

The value for x in the equation x over 5 and 7 tenths equals 2 and 3 tenths is 13.11.

In algebra, we often deal with equations with unknown values ​​represented by variables. To solve such an equation, we need to find the values ​​of the variables.

A one-step equation is an algebraic equation that can be solved in just one step. Solve it and you've found the values ​​of the variables that make the equation true. To solve a one-step equation, perform the inverse (reverse) of the operation performed on the variable to get the variable itself.

For the given case, the  equation can be written as follows:

[tex]\frac{x}{5\frac{7}{10} }[/tex] = [tex]2\frac{3}{10}[/tex]

x = [tex]5\frac{7}{10}[/tex] × [tex]2\frac{3}{10}[/tex]

x = 5.7 × 2.3

x = 13.11

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Answer:

24 teaspoons of yellow

Step-by-step explanation:

The ratio of blue to yellow is 6 to 8.

[tex] \frac{6}{8} = \frac{18}{y} [/tex]

We see that y = 24 since 18 = 3 × 6 and

24 = 3 × 8.

EXPLANATION

Since the average speed is given by the equation:

Computing s(10) and s(12):

Now, computing s(12):

In conclusion, the solutions are:

s(10) = 6 miles per hour

s(12) = 7 miles per hour

Answer:

constant term = 6

Step-by-step explanation:

if you multiply the constant terms within each factor together you get the constant term of the expansion of p(x) , that is

constant term = 3 × 2 × 1 = 6

12(x - t)

if x = 7 and t = 2

12(x - t) = 12(7 - 2) = 12 * 5 = 60

Answer:

60

The cost of Anya's lunch would be = $25

Lunch is the type of meal that is taken after the noon day or in the afternoon.

The percentage of tip left by Jordyn and Anya = 30%

The amount of the tip = $14.10

If 30% = 14.10

100% = $x

$x = 100 × 14.10/30

$x = 1,410/30

$x = 1,410/30

$x = $47

This is the total amount for the cost of lunch.

To find Anya's cost for lunch would be;

Total cost - Jordyn lunch cost = Anya lunch cost

Anya lunch cost = 47 - 22

= $25

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