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3 years ago

Given the following piece wise function evaluate f(-7)

Mathematics

1 answer:

adelina 88 [10]3 years ago

4 0

Answer:

f(- 7) = - 57

Step-by-step explanation:

To evaluate f(- 7) substitute x = - 7 into f(x) = 7x - 8, since condition is

f(x) = 7x - 8 for x ≥ - 7, thus

f(- 7) = 7(- 7) - 8 = - 49 - 8 = - 57

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Question in image, it asks to show your work

maxonik [38]

Answer:

• f(g(x)) = $\sqrt{x^{2} + 1}$ + 8

• g(f(x)) = 16 $\sqrt{x}$ + x + 65

Step-by-step explanation:

• f(g(x)) = f(x² + 1)

= $\sqrt{x^{2} + 1}$ + 8

• g(f(x)) = g( $\sqrt{x + 8}$ )

= $(\sqrt{x } + 8)^{2}$ + 1

= x + 16 $\sqrt{x}$ + 64 + 1

= 16 $\sqrt{x}$ + x + 65

8 0

2 years ago

The circumference of a circle is 157 centimeters. What is the area of the circle in terms

DENIUS [597]

Answer:

The area of the circle is 56.25π cm²

Step-by-step explanation:

The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
The formula of the area of a circle with radius r is A = πr²

To find the area of the circle use the formula of the circumference to find its radius and then use the formula of the area to find its area

∵ The circumference of a circle is 15π centimeters

∵ C = 2πr

- Equate 2πr by 15π

∴ 2πr = 15π

- Divide both sides by π

∴ 2 r = 15

- Divide both sides by 2

∴ r = 7.5 centimeters

Now let us use the rule of the area to find it

∵ A = πr²

∴ A = π(7.5)²

∴ A = 56.25π centimeters²

The area of the circle is 56.25π cm²

7 0

3 years ago

Can someone help me with this question with a explanation?

allsm [11]

No, I do not agree with Jada.

Quad A has 3, 6, 6, 9
Quad B is a scale of A with shortest length being 2

A scale is basically a fraction or a ratio. The scale of Quad A to B is 3/2 since Quad A's shortest length is 3.

Using the scale factor of 3/2, we can determine the rest of Quad B's demensions through cross multiplication.

3/2 = 6/4
3/2 = 9/6

Quad B's demensions are 2, 4, 4, 6.

5 0

3 years ago

Which rule describes the relationship between the input and output pairs in the following table?

laila [671]

Answer:

Subtract 5 from input.

Step-by-step explanation:

10-5=5

8-5=3

6-5=1

Note:if you need to ask question let me know about it.

3 0

3 years ago

In the arithmetic sequence {13,6,−1,−8,…}, what is the common difference? Enter your answer as a number, like this: 42

V125BC [204]

Answer:

-7

Step-by-step explanation:

To find the common difference, you subtract a term from the term after it. For example, in the problem, you can subtract 13 from 6:

6 - 13 = -7

To check you can do the same thing with other consecutive numbers in the sequence like:

-1 - 6 = -7

6 0

3 years ago