Which of the following equations must also be true? Select three that apply.

Answer:

D. [tex] y - y_0 = m(x - x_0) [/tex].

Step-by-step explanation:

The equation of a line can be written in the point-slope form if we know the the coordinates of a point the line passes through which is [tex] (x_0, y_0) [/tex]. And if we also know the slope = m of the line.

Therefore, the point-slope equation is given as:

[tex] y - y_0 = m(x - x_0) [/tex]

Answer:

y=-1/4x+2

Step-by-step explanation:

So the forumla for slope/intercept equation is:

y=mx+b

Y equals the y coordinates on the graph. This is the value that you plug in x to solve for.

m equals the slope of the graph. (In this case -1/4)

x equals the x coordinates. This will always be just x when writen in a slope intercept equation, since x is the value you plug in to solve for y.

b equals the y intercept. This is different from the y coordinates. This is a known value, which can be found when x=0. (In this case 2)

Now, using this lets plug in our numbers for the differet variables:

y=mx+b

We know that m, the slope, is -1/4. So:

y=-1/4x+b

We also know that b, the y inteercept, is 2. Since we have the coordiantes (0x, 2y). So:

y=-1/4x+2

This is all you have to do! This is because y is the number you solve for, and x is the value you plug.

Hope this makes sense and helps! :)

Answer:

314.96

586.74

Step-by-step explanation:

Answer:314.96; 586.74

Step-by-step explanation:

1 inch = 25.4 millimeters

12.4 x 25.4 = 314.96

23.1 x 25.4 = 586.74

Multiply the number of inches by 25.4 to convert to millimeters :).

Answer:

cool neither do i

Step-by-step explanation:

Answer:

The y-intercept is y = -4.

The x-intercepts are [tex]x = 4[/tex] and [tex]x = -\frac{1}{2}[/tex]

The vertex is [tex](\frac{7}{4},-\frac{81}{8})[/tex]

Step-by-step explanation:

Quadratic equation:

Has the following format:

[tex]y = ax^2 + bx + c[/tex]

The y-intercept is c.

Finding the x-intercepts:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

Vertex:

Suppose we have a quadratic function in the following format:

[tex]f(x) = ax^{2} + bx + c[/tex]

It's vertex is the point [tex](x_{v}, y_{v})[/tex]

In which

[tex]x_{v} = -\frac{b}{2a}[/tex]

[tex]y_{v} = -\frac{\Delta}{4a}[/tex]

Where

[tex]\Delta = b^2-4ac[/tex]

In this question:

The quadratic equation is [tex]2x^2 - 7x - 4[/tex], which has [tex]a = 2, b = -7, c = -4[/tex]. This means that the y-intercept is y = -4.

x-intercepts:

[tex]\Delta = (-7)^2-4(2)(-4) = 81[/tex]

[tex]x_{1} = \frac{-(-7) + \sqrt{81}}{2*2} = 4[/tex]

[tex]x_{2} = \frac{-(-7) - \sqrt{81}}{2*2} = -\frac{1}{2}[/tex]

The x-intercepts are [tex]x = 4[/tex] and [tex]x = -\frac{1}{2}[/tex]

Vertex:

[tex]x_{v} = -\frac{(-7)}{2*2} = \frac{7}{4}[/tex]

[tex]y_{v} = -\frac{81}{4(2)} = -\frac{81}{8}[/tex]

The vertex is [tex](\frac{7}{4},-\frac{81}{8})[/tex]

Answer: 4/5

How to: Convert to a mixed number by placing the numbers to the right of the decimal over  10 . Reduce the fraction.

Have a great day and stay safe ! so sorry if wrong

Answer:

8/9

Step-by-step explanation:

i got it righttt

Answer:

93

Step-by-step explanation:

(85 + 92 + 87 + 93 + 90 + x)/6 = 90

(447 + x)/6 = 90

multiply both sides of the equation by 6:

447 + x = 540

subtract 447 from both sides:

x = 93

Answer:

2,2122.64

Step-by-step explanation:

equation -

3.14*(26*26) or 3.14*26^2

26*26=676

676*3.14=2,122.64

Hope this helps :)

Answer:

D. Both of the dot A and B have the same mean

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0+1}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 3x + 3 ← equation of line → A

Answer:

552

Step-by-step explanation:

Answer:

V = 552 mm^3

Step-by-step explanation:

To find the volume of a prism, you multiply the base and the height. We can write an equation to model the situation:

V = Bh

Where V is the volume, B is the base, and h is the height.

We can substitute the values we have:

V = 92 x 6

V = 552 mm^3

Answer:

The relevants cost are $2,000

Step-by-step explanation:

Based on the information given in a situation where the student have to decide whether to repair the car or purchase another car the correct statement is: THE RELEVANTS COST ARE $2,000 because the cost of repairs of the Amount of $2,000 represent the RELEVANT COST.

Therefore RELEVANT COSTS are costs or expense that can be incurred due to some certain decisions and on the other hand RELEVANT COSTS which is also known as AVOIDABLE COST can be seen as the cost or expense a person or an individual can do away with depending on other alternative such person choose to pick.

Answer:

2000

Step-by-step explanation:

Answer: first 360 second 1080 third horizontal stretch

Step-by-step explanation:

The period of this parent cosine function [y=cos(x)] is equal to 360 degrees.

The period of a cosine function can be defined as the overall length of the interval of values on the x-axis over which a graph lies and it's repeated. Mathematically, the period of this parent cosine function [y=cos(x)] is given by:

T = 2π/A

Where:

When A = 1, we have:

T = 2π/1 = 360 degrees.

For the graphed function, the period of this cosine function is given by:

T = 6π

T = 6 × 360

T = 1080 degrees.

Read more on cosine function here: https://brainly.com/question/4599903

Answer:

$6.24

Step-by-step explanation:

equation: $41.63 - 4.19 = 37.44

solve: 37.44 ÷ 6 = 6.24.

hope this helped!

Answer:

He pays a TOTAL of $41.63. Meaning everything is equal to that value

He pays 4.19$ for Milk

He buys 6bags of Oranges and each of these cist the same amount.. let's say x.

So 6 bags would cost 6x

So Total is

6x + 4.19 =41.63

6x= 41.63-4.19

6x=37.44

x=37.44/6

x=$6.24

To check this

6x + 4.19 should equal 41.63$

6(6.24) + 4.19= $41.63

Answer:

7. D) 61in

8. A) 57in

9. A) 47in

Step-by-step explanation:

The perimeter is the distance around the area of a 2-dimensional figure. it can be found by adding up all of the sides of the figure. One can use this to solve for the value of the parameter (x). Then substitute the value back in to find the value of the side.

7.

AB + BC + AC = 145

Substitute,

2x + 2x + 5 + x = 145

Simplify,

5x + 5 = 145

Inverse operations,

5x + 5 = 145

-5

5x = 140

/5

x = 28

Substitute,

AC = 2x + 5= 2(28) + 5 = 61

8.

AB + BC + AC = 135

Substitute,

2x + 2x + 5 + x = 135

Simplify,

5x + 5 = 135

Inverse operations,

5x + 5 = 135

-5

5x = 130

/5

x = 26

Substitute,

AC = 2x + 5 = 2(26) + 5 = 57

9.

AB + BC + AC = 122

Substitute,

x + 22 + 2x + x = 122

Simplify,

4x + 22 = 122

Inverse operations,

4x + 22 = 122

-22

4x = 100

/4

x = 25

Substitute,

AB = x + 22 = 25 + 22 = 47

Answer:

Shift to the right by 2 units, vertical translation upwards by 3 units.

Step-by-step explanation:

Answer:

the vertex of the parabola is at (1,2)

Answer:

a) false, median is 1 for each store

b) false, median at store 2 is 1  

c) true

Step-by-step explanation:

Answer:

26º

Step-by-step explanation:

746 - 360 = 386

386 - 360 = 26

Answer:

Nice

Step-by-step explanation:

but tons of wut'

Answer:

=180-50-70

=50

Step-by-step explanation:

=180-50-70

50

Answer:

126,300.

Step-by-step explanation:

Answer:

Your answer would be 126,350!

Step-by-step explanation: Since the ones place is directly beside the hundreds place to the right, you would use this number to determine whether you stay or round up. 9 is greater then 5, meaning you round up making the hundreds place a 5. Hope this helps! :)

Answer:

15

Step-by-step explanation:

trust me bro

Answer:

just set the 2 equations equal to each other. answer is 7, 13/3

Step-by-step explanation:

Answer:

D (1, 2), (2, 4), (4,8)

Step-by-step explanation:

Points lying on the same line:

If three points lie on the same line, the change in y has to be always the same when x changes by 1.

А. (0, 1), (-1, 3), (1, 3)

(-1,3) to (0,1): x changes by 1, y by -2

(0,1) to (1,3): x changes by 1, y by 2

So these points are not on the same line.

B. (4, 2), (2, 1), (4, -2)

Two values for y when x = 4, so not on the same straight line.

C (0, 0), (8, 0), (0, 8)

Two values for y when x = 0, so not on the same straight line.

D (1, 2), (2, 4), (4,8)

Here, when x changed by 1(from 1 to 2), y changed by 2.

When x changed by 2(from 2 to 4), y changed by 2*2 = 4.

So these points are on a straight line, and D is the correct answer.

Answer:

log(.25)

Step-by-step explanation:

[tex]log(a)-log(b)=log(\frac{a}{b})\\log(2)-log(8)=log(\frac{2}{8})\\log(\frac{1}{4})[/tex]