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Goryan [66]
3 years ago
13

A teacher asks five different students to write an equation with a solution of x = 4. The students and their equations are shown

below.
Student Adrian Bert Camille Daniel Etsuko Equation 2x + 6 = 2 2x-9 = -1 - 2x + 12 = 4 2(x + 2) = 10 2(x - 10) = -12

Which of the following students correctly wrote an equation with x = 4 as the solution? Select three that apply.

A. Bert
B. Daniel
C. Etsuko
D. Adrian
E. Camille​
Mathematics
1 answer:
tankabanditka [31]3 years ago
6 0

Answer:

I'm assuming the order corresponds the student to the equation. Because of this, the answer is simple:

Bert, Etsuko, and Camille.

Step-by-step explanation:

2x-9=-1, 2x=8, x=4

2(x-10)=-12, x-10=-6, x=4

-2x+12=4, -2x=-8, x=4

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Y+2x=2 find the slope of every line perpendicular to the graph of the equation
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Answer:

m_{perpendicular} = \frac{1}{2}

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 )

given

y + 2x = 2 ( subtract 2x from both sides )

y = - 2x + 2 ← in slope- intercept form

with slope m = - 2

given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{-2} = \frac{1}{2}

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2 years ago
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Answer:

58/15 or 3 13/15 of flour will be used in all.

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3 years ago
Find the inverse of f(x) = -4x - 12​
olga2289 [7]

Answer:

\implies f^{-1}(x) =-\dfrac{x}{4}-3

Step-by-step explanation:

<u>Given </u><u>:</u><u>-</u><u> </u>

  • f(x) = -4x-12

And we need to find out the Inverse of the function . Let us assume that f(x) = y . Now , firstly replace x with y and vice versa.

<u>Function</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f(x) = -4x - 12 \\\\\implies y = -4x-12

<u>Interchanging</u><u> </u><u>x </u><u>and </u><u>y </u><u>:</u><u>-</u><u> </u>

\implies x = -4y - 12

<u>Solve </u><u>out</u><u> </u><u>for </u><u>y </u><u>:</u><u>-</u><u> </u>

\implies x = -4y - 12 \\\\\implies -4y = x +12 \\\\\implies y =\dfrac{x+12}{-4}\\\\\implies y =-\dfrac{x}{4}-3

<u>Replace</u><u> </u><u>y with</u><u> </u><u>f-¹</u><u>(</u><u>x)</u><u> </u><u>:</u><u>-</u><u> </u>

\implies f^{-1}(x) =-\dfrac{x}{4}-3

<u>Hence </u><u>the </u><u>inverse</u><u> of</u><u> the</u><u> function</u><u> is</u><u> </u><u>-x/</u><u>4</u><u>-</u><u>3</u><u> </u><u>.</u>

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Hope this helps:)

3 0
3 years ago
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