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2 years ago

If r(x) = 2 – x2 and w(x) = x – 2, what is the range of w(r(x))

Mathematics

2 answers:

shepuryov [24]2 years ago

8 0

(-infinity,0] is the answer.

Paladinen [302]2 years ago

5 0

Range is the outputs possible
w(r(x))=(2-x^2)-2
w(r(x))=2-x^2-2
w(r(x))=-x^2

therefor the range is from 0 to -∞

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I need help on some geometry questions

kupik [55]

Answer: x = 40

Step-by-step explanation:

3x + x + 20 = 180 same side (consecutive) interior angles

4x + 20 = 180

4x = 160

x = 40

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Answer: x = 24

Step-by-step explanation:

6x - 24 + 2x + 12 = 180 linear pair (supplementary angles)

8x - 12 = 180

8x = 192

x = 24

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Answer: x = 16

Step-by-step explanation:

base angles of an isosceles triangle are congruent

2(2x + 15) + 6x - 10 = 180 triangle sum theorem

4x + 30 + 6x - 10 = 180

10x + 20 = 180

10x = 160

x = 16

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Let ∠1 and ∠2 represent the exterior angles in the diagram and "x" represent the same side (consecutive) interior angle with ∠1.

Then m∠1 + x = 180 same side interior angle theorem

and m∠2 + x = 180 linear pairs are supplementary

m∠1 + x = m∠2 + x transitive property

m∠1 = m∠2 subtraction property of equality

∠1 ≈ ∠2 definition of congruency

8 0

2 years ago

What happens to the volume of a rectangular prism when its length is tripled?

earnstyle [38]

The volume of a rectangular prism is represented by the following equation:

$V=wlh$

where w is the width , l is the length, and h is the height

Replace $l$ with $3l$ since the length is tripled

$V_0=w(3l)h$

$=3(wlh)$

From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.

Let me know if you need any clarifications, thanks!

3 0

2 years ago

Which of the following is a correct interpretation of the expression -7- (-11)?

Brilliant_brown [7]

Answer:

B. Start at -7 on the number line and move 11 to the right.

Step-by-step explanation:

Given:

- 7 - (-11) expression

We can add or remove only positive numbers on the number line to get it correct, so we need to open the parenthesis. When evaluated we get:

-7- (-11) = - 7 + 11 = 4

Correct interpretation of of this expression is:

Start at -7 and add 11, thus move 11 points to the right, to get 4 as final point.

Correct choice is:

B. Start at -7 on the number line and move 11 to the right.

6 0

2 years ago

What is the interquartile range of this data set? 2,5,9,11,18,30,42,55,58,73,81

Tcecarenko [31]

Answer:

I think it's 49 I'm sry if I'm wrong hope you luck

Step-by-step explanation:

3 0

3 years ago

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Please help

dedylja [7]

Answer:

C ( 8,-6)

Because you move the points according to the rule.

6 0

2 years ago

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