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3 years ago

Let h(x)=2x+5, g(x)=8−3x. What is the value of h(g(1.5))?

1 answer:

6 0

So your equation is a composite function. It means to plug 1.5 as x into g(x), then the answer you get for that, plug into h(x).

So.

g(1.5)=8-3(1.5)

=8-4.5

=3.5

Then.

H(3.5)=2x+5

=2(3.5)+5

=7+5=12

Your final answer is 12.

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Can someone help me please and thank you :)

Citrus2011 [14]

Answer:

the answer is 4328

Step-by-step explanation:

may God bless you and your family during spring break

8 0

2 years ago

The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

8 0

3 years ago

Write this number in expanded form 382,706

77julia77 [94]

Answer:

Expanded form : 300,000 +80,000 +2000 +700 +6.

Step-by-step explanation:

Given : 382,706.

To find : Write this number in expanded form.

Solution : We have given 382,706.

We can see 3 is at hundred thousand place = 300,000

8 is at ten thousand place = 80,000.

2 is at thousand place = 2000.

7 is at hundred place = 700.

6 is at ones place = 6

Then

Expanded form : 300,000 +80,000 +2000 +700 +6.

Therefore, Expanded form : 300,000 +80,000 +2000 +700 +6.

5 0

3 years ago

Read 2 more answers

Each week, Alfonso earns $85 for every shift he works at the theater and $15 for every dog-walking job. He uses the expression 8

xeze [42]

The coefficients are 15 and 85.
the variables are x and y.

85 represents 85 dollars for each x, which is the number of shifts.
15 represents 15 dollars for each y, which is the number of dog walking jobs.

7 0

3 years ago

ANSWER ASAP

Brums [2.3K]

Answer:

y = 2x + 3
y = -6x
y = -x + 2
y = 2x - 7

Step-by-step explanation:

Slope-intercept form:

y = mx + b

Hint. if we have x = 0, then the y-coordinate is the same as b

Slope

m = (y2 - y1)/(x2-x1)

33.

m = (9 -(-3))/(3 - (-3)) = 12/6 = 2
b = 3 as per table (0, 3)

y = 2x + 3

34.

m = (0-12)/(0 - (-2)) = -12/2 = -6
b = 0, as per table (0, 0)

y = -6x

35.

m = (2 - (-2))/(0 - 4) = 4/-4 = -1
b = 2, as per table (0, 2)

y = -x + 2

36.

m = (-5 - (-1))/ (1 -3) = -4/-2 = 2

Using point (3, -1)

-1 = 2*3 + b
b= -1 - 6= - 7

y = 2x - 7

8 0

3 years ago