All categories

3 years ago

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(1). 2 8 10 4

1 answer:

Klio2033 [76]3 years ago

8 0

Hello!

You can solve this by plugging 1 into $g(x)$ and plugging the result into $h(x)$ .

$g(x) = 2x$
$g(1) = 2(1)$
$g(1) = 2$

$h(x) = 2x + 4$
$h(g(1)) = 2(2) + 4$
$h(g(1)) = 4 + 4$
$h(g(1)) = 8$

Answer:
(h ∘ g)(1) = 8

You might be interested in

5 thousands 2 hundreds 4 ones + 3 thousands 7 hundreds 5 ones in standard form

Alecsey [184]

5,204+3,705=8909.......

5 0

3 years ago

the formula to find the period of orbit a satellite around a planet is T^2=(4pi^2/GM)r^3 where r is the orbits mean radius. If y

Oxana [17]

Answer:

The correct answer is r = ∛GM*T²/4π²

Step-by-step explanation:

Let's rewrite the formula to find the period of orbit of a satellite around a planet, to solve for r, this way:

T^2=(4pi^2/GM)r^3

T² = (4π²/GM) * r³

r³ = T²/ (4π²/GM)

r³ = T² * GM/4π²

r³ = GMT²/4π²

∛r³ = ∛GM*T²/4π²

r = ∛GM*T²/4π²

The correct answer is r = ∛GM*T²/4π²

7 0

3 years ago

Bo and Brica are yoga instructors. Between the both of them, they teach 46 yoga classes each week. If Brica teaches 11 fewer tha

PtichkaEL [24]

Bo teaches 19 classes and Brica teaches 27 classes per week

Step-by-step explanation:

Bo and Brica are yoga instructors

They teach 46 yoga classes each week
Brica teaches 11 fewer than twice as many as Bo

We need to find how many classes each instructor teaches per week

Assume that Bo teaches x classes per week

∵ Bo teaches x classes per week

∵ Brica teaches 11 fewer than twice as many as Bo

∵ Twice means times 2 and 11 fewer is - 11

- Multiply x by 2 and subtract 11 from the product

∴ Brica teaches 2x - 11 classes per week

∵ They teach 46 classes per week

- Add the number of their classes and equate the sum by 46

∴ x + 2x - 11 = 46

- Add the like terms in the left hand side

∴ 3x - 11 = 46

- Add 11 to both sides

∴ 3x = 57

- Divide both sides by 3

∴ x = 19

∵ Bo teaches x classes per week

∴ Bo teaches 19 classes per week

∵ Brica teaches 2x - 11 classes per week

∴ Brica teaches 2(19) - 11 = 27 classes per week

Bo teaches 19 classes and Brica teaches 27 classes per week

Learn more:

You can learn more about the linear equations in brainly.com/question/11306893

#LearnwithBrainly

5 0

3 years ago

Hamburgers come packed 12 in a package. Hamburger buns come packed 10 in a package. If we want one hamburger for each bun for a

BlackZzzverrR [31]

Answer:

5 hamburger packages and 6 bun packages

Step-by-step explanation:

It is asking for the highest common multiple of 12 and 10. the first time a multiple of 12 is divisible by 10 is at 12x5, which is 60. now divide 60 by 12 and 10, 5 and 6.

4 0

2 years ago

A population of ants is 10,000 at the start of April. Since then, it triples each month.

Kryger [21]

Answer:

Month since April Number of Ants

0 10,000

1 30,000

2 90,000

3 270,000

4 810,000

Every month, the ant population triples so the multiply the previous population by 3 to find out the new population.

0 months from April = 10,000 * 1 = 10,000 ants

1 month from April = 10,000 * 3 = 30,000 ants

2 months from April = 30,000 * 3 = 90,000 ants

3 months from April = 90,000 * 3 = 270,000 ants

4 months from April = 270,000 * 3 = 810,000

8 0

3 years ago