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3 years ago

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−2).

Mathematics

2 answers:

kap26 [50]3 years ago

7 0

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−2).

A. −12

the corrects answer is <em>B. −16 </em>

C. 20

D. 16

Nastasia [14]3 years ago

7 0

Answer:

Option C, 20 is the answer.

Step-by-step explanation:

Let g(x) = 2x and h(x) = x² + 4

We have to evaluate (h ο g) ( -2 )

Since ( h ο g )x = h [ g(x) ]

= ( 2x)² + 4

= 4x² + 4

( h ο g ) ( -2 ) = 4 ( -2 )² + 4

= 4 × 4 + 4

= 16 + 4

= 20

Option C, 20 will be the answer.

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Lucas is keeping track of the total number of miles he runs each week. During the second week, he ran four more than twice as ma

Novosadov [1.4K]

(A) The equation represents the number of miles he ran during the second week is (2m + 4) miles.

(B) The total number of miles that Lucas ran during the first two weeks is m + (2m + 4) ≤ 4m ⇒ m ≥ 4

<h3>What is an equation?</h3>

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Given, Lucas is keeping track of the total number of miles he runs each week.

In the first week, he ran m miles, and in the second week, he ran 4 miles more than twice the miles he ran in the first week.

∴ The equation in terms of m represents the number of miles he ran during the second week is (2m + 4) miles.

Also given, The total number of miles that Lucas ran during the first two weeks is equal to or eight less than four times the number of miles he ran during the first week which is,

m + (2m + 4) ≤ 4m.

3m - 4m ≤ - 4.

- m ≤ - 4.

m ≥ 4. (think of moving the terms to other sides to make m positive).

learn more about inequalities here :

brainly.com/question/28823603

#SPJ1

4 0

1 year ago

bixtya [17]

Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

$y = ab^x$

In which:

a is the initial value.

b is the rate of change.

f(3.5) = 25 means that:

$ab^{3.5} = 25$

$a = \frac{25}{b^{3.5}}$

f(8.5) = 14 means that:

$ab^{8.5} = 14$

Hence:

$\frac{25}{b^{3.5}} \times b^{8.5} = 14$

$25b^5 = 14$

$b = \sqrt[5]{\frac{14}{25}}$

$b = 0.89$

$a = \frac{25}{0.89^{3.5}} = 37.59$

Hence, the function is given by:

$y = 37.59(0.89)^x$

Then, when x = 5.5:

$f(5.5) = 37.59(0.89)^{5.5} = 19.8$

More can be learned about exponential functions at brainly.com/question/25537936

7 0

2 years ago

Please Answer ASAP!!

murzikaleks [220]

When dividing two fractions, invert the second one and multiply the 2 top numbers and the 2 bottom numbers.

3/4 / 1/4 = 3/4 * 4/1 = 12/4 = 3

6 0

3 years ago

It's 16inches tall and the exact model is 40 feet long

OleMash [197]

Ahh... this is pretty easy!!
.
Locomotive is 40 feet.
.
Model is 16.
.
So?
.
Divide 40 by 16!!
.
What's that?
.
2.5.
.
So your answer choice is 2.5
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Hope I helped!!

4 0

3 years ago

I need to find the derivative. I’m not very good at this so I am answer asap would be sosososo helpful

Bingel [31]

Answer:

See below.

Step-by-step explanation:

First, notice that this is a composition of functions. For instance, let's let $f(x)=\sqrt{x}$ and $g(x)=7x^2+4x+1$ . Then, the given equation is essentially $f(g(x))=\sqrt{7x^2+4x+1}$ . Thus, we can use the chain rule.