Ask question

Ask question

All categories

2 years ago

10

Given g(x)=Squareroot x-4 and h(x)=2x-8, what is g(h(10))

2 answers:

yan [13]2 years ago

8 0

Answer:

$g(h(10)) = 2\sqrt 2$

Step-by-step explanation:

Given

$g(x) = \sqrt {x - 4$

$h(x) = 2x - 8$

Required

$g(h(10))$

First, calculate $g(h(x))$

We have:

$g(x) = \sqrt {x - 4$

This gives:

$g(h(x)) = \sqrt {h(x) - 4$

Substitute $h(x) = 2x - 8$

$g(h(x)) = \sqrt {2x - 8 - 4$

$g(h(x)) = \sqrt {2x - 12$

Substitute $x = 10$

$g(h(10)) = \sqrt {2*10 - 12$

$g(h(10)) = \sqrt {20 - 12$

$g(h(10)) = \sqrt {8\\$

Split

$g(h(10)) = \sqrt {4} * \sqrt 2$

This gives

$g(h(10)) = 2\sqrt 2$

Gemiola [76]2 years ago

5 0

Answer:

Step-by-step explanation:

You might be interested in

Simplify the expression below. 14a8y3 − 7a4y5 + 28a12y2 7a4y

olchik [2.2K]

Answer:

$14a^{8}y^{3} - 7a^{4}y^{5} + 4a^{8} y$

Step-by-step explanation:

$14a^{8}y^{3} - 7a^{4}y^{5} + \frac{28a^{12}y^{2}}{7a^{4} y}$

$14a^{8}y^{3} - 7a^{4}y^{5} + 4a^{8} y$

5 0

2 years ago

Which expression is equivalent to (5^4)^2<br> A. 25^8<br> B. 20^2<br> C. 5^8<br> D. 5^6

Yuliya22 [10]

Answer:

C. 5^8

to raise a power to another power, multiply the exponents

then multiply thr numbers

then u get 5^8

6 0

3 years ago

Alicia earned d dollars baby-sitting. Her friend earned twice as much. You earned $2 less than Alicia's friend earned. Write an

Semenov [28]

Answer:

$Total = \$5d - 2$

Step-by-step explanation:

Represent Alice with A, her friend with F and you with Y.

From the question, we have:

$A = \$d$

$F = 2 * A$ --- Twice as much Alice means 2 times Alice's earnings

$Y = F - 2$ --- 2 less than her friend

Required

Determine the total amount

$A = \$d$

Substitute $\$d$ for A in $F = 2 * A$

$F = 2 * \$d$

$F = \$2d$

Substitute $\$2d$ for F in $Y = F - 2$

$Y = \$2d - 2$

The total amount is calculated by adding the earnings of Alice, her friend and you

$Total = A + F + Y$

$Total = \$d + \$2d + \$2d - 2$

$Total = \$5d - 2$

<em>Hence, the total earnings is 5d - 2</em>

4 0

2 years ago

Will give crown to best answer!!!!!!

timurjin [86]

The pair of points defines a line with a slope of -1 is C. (10,3) and (15,-2)

5 0

3 years ago

You just obtained a credit card. You immediately purchase a digital camera for $160. Your credit limit is $4000. Let’s assume th

frutty [35]

Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions.
Below are the choices:

a.0.0142
<span>b.1.0142 </span>
<span>c.14.2 </span>
<span>d.1.42
</span>
Every month your balance includes the original amount (100%) and the added the monthly interest (1.42%). So each month the balance will be 101.42% of the prior month's balance. Move the decimal point two places to the left to make that into a decimal.

<span>Answer: </span>
<span>b. 1.0142</span>

6 0

2 years ago