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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 B. −16

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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Which expressions are polynomials?

cupoosta [38]

The expressions that are polynomial are:

6 + w

$2x^4 - y$

z + 1

Solution:

A polynomial is an expression with variables and coefficients with the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables

1) 6 + w

Here "w" is a variable, hence it is a polynomial expression

$2)\ 2x^4 - y$

This is a polynomial, since it has variables and coefficients and variable with non negative exponent

3) z + 1

This is also a polynomial with variable "z" and has addition operation

$4)\ y^2 - y\sqrt{3} + 4$

Since it has root so it is not a polynomial

6 0

3 years ago

Read 2 more answers

What is x? -3(52)=-3(x)+-3(2)

krek1111 [17]

Answer:

x = 50

Step-by-step explanation:

-3(52)=-3(x)+-3(2)

Divide both sides by -3

52 = x + 2

x = 50

8 0

3 years ago

Mr. Ramsey just finished bathing his kids, and now he is draining the tub. The tub contains 32 gallons of water and is draining

KIM [24]

The answer would be 11 gallons.

The tub starts with 32 gallons. Every minute it loses 3 gallons.

So after 1 minute it has lost 3 gallons. For example:
32-3= 29 Meaning that after 1 minute the tub has 29 gallons left.

Now you have to remember that the tub is draining for 7 minutes. So it is losing 3 gallons 7 times, because it loses 3 gallons each minute and there are 7 minutes.

We can use multiplication to find how many gallons the tub loses after 7 minutes. This sign “X” basically means “groups of”. We have 7 groups of 3, or
7 X 3

This is the same as saying we have 3, 7 times. Written like this:

3+3 +3 +3 +3 +3 +3 = 21

So after 7 minutes the tub has lost 21 gallons.

Now we take the original number of gallons and take away what was lost:

32-21=11

So there are 11 gallons left after 7 minutes.

Please let me know if you need any further explanation. Hope this helped.

7 0

2 years ago

A soccer ball is kicked toward the goal. The height of the ball is modeled by the function h(t) = −16t2 + 48t where t equals the

Stolb23 [73]

Answer:

t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

Explanation:

1) Explanation of the model:

Given: h(t) = -16t² + 48t

This is a quadratic function, so the height is modeled by a patabola.

This means that it has a vertex which is the minimum or maximu, height. Since the coefficient of the leading (quadratic) term is negative, the parabola opens downward and the vertex is the maximum height of the soccer ball.

2) Axis of symmetry:

The axis of symmetry of a parabola is the vertical line that passes through the vertex.

In the general form of the parabola, ax² + bx + c, the axis of symmetry is given by x = -b/(2a)

In our model a = - 16, and b = 48, so you get: t = - ( 48) / ( 2 × (-16) ) = 1.5

Conclusion: since t = 1.5 is the axys of symmetry, it means that at t = 1.5 the ball reachs its maximum height and that it will take the same additional time to fall back to the ground, whic is a tolal of 1. 5 s + 1.5 s = 3.0 s.

Answer: t = 1.5; it takes 1.5 seconds to reach the maximum height and 3 seconds to fall back to the ground.

8 0

3 years ago

Name a line that contains point A

antiseptic1488 [7]

Line AC contains point A in it.

6 0

3 years ago