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3 years ago

What is the inverse function of d(x ) = -2x - 6? DO NOT answer if you're not sure

Mathematics

1 answer:

rjkz [21]3 years ago

7 0

First make the equation equal y

Y=-2x-6

Then rearrange to make x the subject

2x=-y-6

X=(-y-6)/2

Then change the y's to x's

Inverse=(-x-6)/2

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confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

<u><em>The complete question is</em></u>

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

8 0

3 years ago

What is 46,491 rounded to the nearest ten thousand

postnew [5]

50,000 is the nearest ten thousand.

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3 years ago

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Please help! 20 points! Calculate the average rate of change for the given function, from x = 1 to x = 4.

zvonat [6]

Answer:

4) 2

Step-by-step explanation:

(4-0) / (1-(-1)) = 4/2 = 2

(10-4) / (4-1) = 6/3 = 2

4 0

3 years ago

Ill give brainliest if correct

Firlakuza [10]

Answer:

The answer is t/3=20

The right diagram is the one that has the orange boxes with 20s and has a t on top

8 0

3 years ago

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What does 5/9-1/12 equal to?

Elena-2011 [213]

$\frac{5}{9} - \frac{1}{12} = \frac{5 \times 4}{9 \times 4} - \frac{1 \times 3}{12 \times 3}$
$= \frac{ 20}{36} - \frac{3}{36}$
$= \frac{17}{36}$

3 0

3 years ago