Solve -2(x + 4) + 9 < -11 then graph.

What is the average rate of change for h(t) between t=0 and t=2

nordsb [41]

Part a: Option D 18 feet per second

Part b: increasing

Solution:

Height $h(t)=-16 t^{2}+50 t+3$

Part a: To find the average rate of change for h(t) between t = 0 and t = 2.

Substitute t = 0 in h(t).

$h(0)=-16 (0)^{2}+50 (0)+3$

h(0) = 3

Substitute t = 2 in h(t).

$h(2)=-16 (2)^{2}+50 (2)+3$

h(2) = 39

Average rate of change formula:

$$=\frac{h(b)-h(a)}{b-a}$

Here, a = 0 and b = 2.

$$=\frac{h(2)-h(0)}{2-0}$

$$=\frac{39-3}{2}$

$$=\frac{36}{2}$

= 18

Average rate of change = 18 feet per second

Option D is the correct answer.

Part b:

This means height of the ball is increasing for 0 < x < 2.

6 0

3 years ago

Make sure your answer is in simplest form and improper fractions are expressed as mixed numbers.

Anni [7]

The answer is:
8/9 pound of raisins that the baker used
(I just divided the two)
Hope This Helps!!
:)

3 0

3 years ago

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According to the graph, a student who studies 10 hours per week should earn a score of about how much?

vladimir1956 [14]

A student who studies 10 hours per week should earn a score of 95

4 0

2 years ago

Determine if the system of equations has one solution, no solution or infinitely many solutions.

Paraphin [41]

Answer:

x

=

0

y

=

−

2

Explanation:

simply subtract each term in the second equation from the first equation:

3

x

+

4

y

=

−

8

3

x

+

16

y

=

−

32

(

3

x

−

3

x

)

+

(

4

y

−

16

y

)

=

(

−

8

−

(

−

32

)

(

0

)

+

(

−

12

y

)

=

(

−

8

+

32

)

−

12

y

=

24

y

=

−

2

now use either original equation to solve for

x

:

3

x

+

4

y

=

−

8

3

x

+

4

(

−

2

)

=

−

8

3

x

−

8

=

−

8

3

x

=

0

x

=

0

6 0

3 years ago

Solve for x.<br><br> x + 47 = -23<br> x =

melomori [17]

Answer:

x = -70

Step-by-step explanation:

x+47=−23

Subtract 47 from both sides.

x+47−47=−23−47

x = −70

5 0

3 years ago

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