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4 years ago

6

What are the answers I’m a bit confused?

1 answer:

sveticcg [70]4 years ago

5 0

10.   $10x^2-4$

12.   $8m+4n+2$

Explanation

===========================

10.
Distribute
$=6x^2+(4)(x^2)+(4)(-1)$
$=6x^2+4x^2+-4$
Combine like terms
$=6x^2+4x^2+-4$
$=(6x^2+4x^2)+(-4)$
$=10x^2+-4$

12.
Combine like terms
$=8m+14+-12+4n$
$=(8m)+(4n)+(14+-12)$
$=8m+4n+2$

Hope this helps :)

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Answer:

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3 years ago

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This table gives a few (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis pairs of a line in the coordinate plane.

PilotLPTM [1.2K]

From the linear function formed by the points given in the table, it is found that the x-intercept is of -14.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.

b is the y-intercept, which is the value of y when x = 0.

In this problem, when x increases by 20, y decays by 6, hence the slope is given by:

$m = -\frac{6}{20} = -0.3$

Then:

y = -0.3x + b.

When x = -54, y = 12, hence:

y = -0.3x + b

12 = -0.3(-54) + b.

b = -4.2.

Thus, the equation is:

y = -0.3x - 4.2.

The x-intercept is the value of x when y = 0, hence:

-0.3x - 4.2 = 0.

x = -4.2/0.3

x = -14

More can be learned about linear functions at brainly.com/question/24808124

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3 years ago

Need ASAP <br> Select the correct answer.<br> Which expression is equivalent to this quotient?

never [62]

Your answer is : D.)

Hope this helps love! <3

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Answer:

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Step-by-step explanation:

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3 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3><u>Explanation</u><u>:</u></h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

$- 1 = \frac{3}{2} ( - 4) + b$

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3><u>Answer</u></h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

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3 years ago