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2 years ago

Study the function below. f(x) = 4x + 2 Label the function as proportional or non-proportional. Explain your reasoning.

1 answer:

7 0

No because it has to pass the origin of (0,0) but it is 2 units above the origin (0,2) so it will never cross it proportionally.

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If F(x)=4x-1 and g(x)=x^2+7, what is g(f(x))

VashaNatasha [74]

Answer

$g(f(x)) = = 16 {x}^{2} - 8x + 8$

step by step Explanation

The functions given are

$f (x)= 4x- 1$

$g(x)= {x}^{2} + 7$

We want to find:

$g(f (x))= g( 4x- 1)$

This implies that

$g(f (x))= ( (4x- 1)^{2} + 7)$

Let us now simplify

$( {a - b)}^{2} = {a}^{2} -2ab + {b}^{2}$

This implies that

$( (4x- 1)^{2} + 7) =( {(4x)}^{2} - 2(4x) \times 1 + 1$

Combine the terms to get,

$= 16 {x}^{2} - 8x + 1 + 7$

$= 16 {x}^{2} - 8x + 8$

6 0

3 years ago

Read 2 more answers

Umference of a Circle: Mastery Test

sasho [114]

Answer:

•26.376 units

•23.236 units

•34.54 units

•59.66 units

Step-by-step explanation:

The formula for the circumference of a circle is ...

C = 2πr = πd

C = 2(3.14)r = 6.28r or C = 3.14d

where r is the radius and d is the diameter.

Put the given radius or diameter into the relevant formula and compute the product. The results are all in "units".

r = 4.2 ⇒ C = 6.28×4.2 = 26.376

d = 7.4 ⇒ C = 3.14×7.4 = 23.236

d = 11 ⇒ C = 3.14×11 = 34.54

r = 9.5 ⇒ C = 6.28×9.5 = 59.66

6 0

2 years ago

Car travels 360 miles on 18 gallons of gas. Write the unit rate.

mars1129 [50]

360/18=20

So, your answer is 20 unit rate.

Hope this will help you!

5 0

3 years ago

If f(x) = –5x – 4 and g(x) = –3x – 2, find (f – g)(x).

erica [24]

Answer:

C. (f – g)(x) = –2x – 2

Step-by-step explanation:

(f – g)(x) = f(x) – g(x)

= (–5x – 4) – (–3x – 2)

= –2x – 2

3 0

2 years ago

jack obtains a loan of $4815.16 at 2.3% ordinary interest for 42 days. what is the maturity value of the loan

il63 [147K]

The maturity value is 4827 and if needed interest value is 12.

4 0

3 years ago