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Trava [24]
3 years ago
7

The data given for a football kicked from the field follows a quadratic model, h(x) = - 3x2 + 18x + 7. Where h(t) is the height

in feet and t is the in seconds. Using this model, what is the maximum height the ball will reach?
43 ft
7 ft
34 ft
17 ft
Mathematics
1 answer:
OLga [1]3 years ago
4 0

Answer:

C) 34

Step-by-step explanation:

use -b/2a to find the x value of the vertex (3)

then plug 3 into equation

- 3(3)² + 18(3) + 7

the answer is 34

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Rewrite the equation below so that it does not have fractions.
bearhunter [10]

Answer:

60+10x=6

Step-by-step explanation:

Hi there!

4+\displaystyle \frac{2}{3} x=\frac{2}{5}

To get rid of the fraction \displaystyle \frac{2}{3}, multiply both sides of the equation by 3 (the denominator):

3(4+\displaystyle \frac{2}{3} x)=3(\frac{2}{5})\\\\3*4+\frac{3*2}{3}x =\frac{3*2}{5} \\\\12+2x =\frac{6}{5}

To get rid of the fraction \displaystyle \frac{6}{5}, multiply both sides of the equation by 5 (the denominator):

\displaystyle 5(12+2x) =5(\frac{6}{5})\\\\5*12+5*2x=\frac{5*6}{5} \\\\60+10x=6

I hope this helps!

8 0
2 years ago
Read 2 more answers
Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?
zysi [14]
4^{x} = 64

By taking <span>logarithmic of base 10

∴ </span><span>log 4^{x} = log 64

∴ x log 4 = log 64

∴ x =  \frac{log \ 64}{log \ 4}
note: we don't need to write the base in case of the base =10

∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>

3 0
3 years ago
Read 2 more answers
Assume a plane is flying directly north at 200 mph, but there is a wind blowing west at 23 mph. Part I: Express both the velocit
yuradex [85]
Define i  as a unit vector in the eastern direction.
Define j as a unit vector in the northern direction.

Part I
Because the wind is blowing west, its velocity vector is
 -23i mph or as (-23, 0) mph
Because the plane is traveling north, its velocity vector is
  200j mph or as (0, 200) mph 

Part II
The actual velocity of the plane is the vector sum of the plane and wind velocities.
That is,
200j - 23i or (-23, 200) mph

Part III
The ground speed of the plane is the magnitude of its vector.
The ground speed is
√[200² + (-23)²] = 201.32 mph

The ground speed of the plane is 201.3 mph (nearest tenth)

Not:
The direction of the plane is
 tan⁻¹ 23/200 = 6.56° west of north.


7 0
3 years ago
I need help this is due by 3pm!!!!! multiplying fractions,brainly if correct.
Oxana [17]

Answer:

2 3/4

Step-by-step explanation:

5 0
2 years ago
Which of the following correctly describes the product below?
Arada [10]

Answer:

C is the answer your looking for

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3 years ago
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