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sveticcg [70]
3 years ago
8

hich statement best describes the domain and range of p(x) = 6–x and q(x) = 6x? p(x) and q(x) have the same domain and the same

range. p(x) and q(x) have the same domain but different ranges. p(x) and q(x) have different domains but the same range. p(x) and q(x) have different domains and different ranges.

Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

p(x) and q(x) have the same domain and the same range.

Step-by-step explanation:

p(x) = 6-x and

q(x) = 6x

First of all, let us have a look at the definition of domain and range.

Domain of a function y =f(x) is the set of input value i.e. the value of x for which the function f(x) is defined.

Range of a function y =f(x) is the set of output value i.e. the value of y or f(x) for the values of x in the domain.

Now, let us consider the given functions one by one:

p(x) = 6-x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which p(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

q(x) = 6x

Let us sketch the graph of given function.

Please find attached graph.

There are no values of x for which q(x) is not defined so domain is All real numbers.

So, domain is (-\infty, \infty) or x\in R

Its range is also All Real Numbers

So, Range is (-\infty, \infty) or x\in R

Hence, the correct answer is:

p(x) and q(x) have the same domain and the same range.

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Christopher scored 7 more than two times the questions Mathew scored on the math test. If Christopher scored 87 on the math test
viktelen [127]

Answer:

40

Step-by-step explanation:

To solve this, we can create an equation that represents this situation. Since Christopher score 7 more than twice what Mathew scored, the equation will be:

C = 2M + 7

(Variables are representative of the first letter of each name)

Seeing as Christopher scored 87, we can put that into the equation and solve for M.

So, the equation will be:

87 = 2M + 7

Subtract 7 from both sides in order to isolate variable M on the right side.

80 = 2M

Now solve for M, which is 40 (divide both sides by 2).

7 0
3 years ago
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Answer:

45 100

/ \ / \

3 × 15 2×50

/ \ / \

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/ \

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45 : 3×3×5

100: 2×2×5×5

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3 years ago
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Step-by-step explanation:

3 0
3 years ago
Simplify the following expression 2x-5(2x-7y+3)+(-8)
Mashutka [201]
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4 0
3 years ago
Write a function rule for the volume of the cylinder shown at the right with a height 3 in more than 4 times the radius of the c
Ludmilka [50]

we know that

The volume of a cylinder is equal to

V=\pi r^{2} h

where

r is the radius  of the base

h is the height of the cylinder

In this problem

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<u>Find the value of h</u>

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therefore

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The volume of a cylinder is equal to 138.2\ in^{3}

8 0
3 years ago
Read 2 more answers
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