3 years ago

If g(x)=x²-2 and p(x)=2x+3, find (g·p)(x)

Mathematics

1 answer:

xxMikexx [17]3 years ago

4 0

2X^3+3x^2-4x-6

You do x^2-2 times 2x+3 and use FOIL method to get answer

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After a baseball is hit, the height h (in feet) of the ball above the ground t seconds after it is hit can be approximated by th

lubasha [3.4K]

Answer:

The ball will take 4.05 seconds to hit the ground.

Step-by-step explanation:

we have

$h=-16t^{2}+64t+3$

This is a quadratic equation (vertical parabola) open down

The vertex is a maximum

we know that

The ball hit the ground when h=0

Solve the quadratic equation

For h=0

$-16t^{2}+64t+3=0$

The formula to solve a quadratic equation of the form

$at^{2} +bt+c=0$ is equal to

$t=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^{2}+64t+3=0$

$a=-16\\b=64\\c=3$

substitute in the formula

$t=\frac{-64(+/-)\sqrt{64^{2}-4(-16)(3)}} {2(-16)}$

$t=\frac{-64(+/-)\sqrt{4,288}} {-32}$

$t=\frac{64(-)\sqrt{4,288}} {32}=-0.05\ sec$ ---> the time cannot be a negative number

$t=\frac{64(+)\sqrt{4,288}} {32}=4.05\ sec$

therefore

The ball will take 4.05 seconds to hit the ground.

4 0

3 years ago

Convert 8 ft to inches

Volgvan

Answer: 96 inches

Step-by-step explanation:

There are 12 inches in 1 foot.

Therefore there are 8*12 inches in 8ft

= 96 inches

8 0

2 years ago

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Can some one plz tell me the answer

madreJ [45]

Answer:

h=15 cm. is the answer for this question

4 0

3 years ago

Z/3 - 35 = -10<br> what is the value of z

ratelena [41]

Z/3=25
z=75 is the answer to this problem

8 0

3 years ago

Write an equivalent fraction of 4/5 with the denominater 25

Temka [501]

Answer:

20/25

Step-by-step explanation:

to get to a dinominator of 25, we have to multiply 5 by 5. so then we do 4 x 5 so now it is 20/25

4 0

3 years ago

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