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sp2606 [1]
3 years ago
10

Before a basketball game a referee noticed that the ball seemed under inflated. She dropped it from 6 feet and measured the firs

t bounce as 36 inches and the second bounce as 18 inches. Write an exponential function to model the height of the ball.
Part B:how high was the ball at the fifth bounce
Mathematics
1 answer:
deff fn [24]3 years ago
7 0

Answer: a) H = h( 0.5 )^n

b) H = 1.125inches

Step-by-step explanation:

Let H = height of the ball

n = number of time the ball bounces

h = initial height.

The exponential function to model the height of the ball will be:

H = h( 1 - 0.5)^n

H = h( 0.5 )^n

It's minus because the height of the ball is decreasing.

h = 36 inches

n = 5

H = 36( 1 - 0.5 ) ^5

H = 36( 0.5 )^5

H = 36 × 0.03125

H = 1.125inches

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When 3 is subtracted from one third of a number less than 6. Which inequality and solution represents this sitution?
kenny6666 [7]

Answer:

1/3(n) - 3 < 6; n < 27

Step-by-step explanation:

" 3 subtracted from one third of a number"

= 1/3(n) - 3

given that this is less than 6:

1/3(n) - 3 < 6

1/3(n) < 6 +3

1/3(n) < 9

n < 27

5 0
3 years ago
Read 2 more answers
a sprinter runs 400 meters in 54 seconds. What is the runner's average running rate in meter's per second?
charle [14.2K]
7.407407407407407... (it repeats the 407) 
U just had to divide 400 by 54

3 0
3 years ago
Read 2 more answers
Use the discriminant to predict the nature of the solutions to the equation 4x-3x²=10. Then, solve the equation.
AleksandrR [38]

Answer:

Two imaginary solutions:

x₁= \frac{2}{3} -\frac{1}{3} i\sqrt{26}

x₂ = \frac{2}{3} +\frac{1}{3} i\sqrt{26}

Step-by-step explanation:

When we are given a quadratic equation of the form ax² +bx + c = 0, the discriminant is given by the formula b² - 4ac.

The discriminant gives us information on how the solutions of the equations will be.

  1. <u>If the discriminant is zero</u>, the equation will have only one solution and it will be real
  2. <u>If the discriminant is greater than zero</u>, then the equation will have two solutions and they both will be real.
  3. <u>If the discriminant is less than zero,</u> then the equation will have two imaginary solutions (in the complex numbers)

So now we will work with the equation given: 4x - 3x² = 10

First we will order the terms to make it look like a quadratic equation ax²+bx + c = 0

So:

4x - 3x² = 10

-3x² + 4x - 10 = 0 will be our equation

with this information we have that a = -3 b = 4 c = -10

And we will find the discriminant: b^{2} -4ac = 4^{2} -4(-3)(-10) = 16-120=-104

Therefore our discriminant is less than zero and we know<u> that our equation will have two solutions in the complex numbers. </u>

To proceed to solve the equation we will use the general formula

x₁= (-b+√b²-4ac)/2a

so x₁ = \frac{-4+\sqrt{-104} }{2(-3)} \\\frac{-4+\sqrt{-104} }{-6}\\\frac{-4+2\sqrt{-26} }{-6} \\\frac{-4+2i\sqrt{26} }{-6} \\\frac{2}{3} -\frac{1}{3} i\sqrt{26}

The second solution x₂ = (-b-√b²-4ac)/2a

so x₂=\frac{-4-\sqrt{-104} }{2(-3)} \\\frac{-4-\sqrt{-104} }{-6}\\\frac{-4-2\sqrt{-26} }{-6} \\\frac{-4-2i\sqrt{26} }{-6} \\\frac{2}{3} +\frac{1}{3} i\sqrt{26}

These are our two solutions in the imaginary numbers.

7 0
3 years ago
PLS HELP ASAP I FORGOT PLS NO BOT LINKS
fredd [130]

Answer:

I'm pretty sure it's the first one

3 0
2 years ago
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(ax-b)(bx+a)=(bx^2+a)a make x subject of the formula
Dmitriy789 [7]

Answer:hehe

Step-by-step explanation:

Dd

7 0
2 years ago
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