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Softa [21]
3 years ago
11

A baseball is thrown into the air from the top of a 224-foot tall building. The baseball's approximate height over time can be r

epresented by the quadratic equation
MO-167 +800+ 224, where t represents the time in seconds that the baseball has been in the air and represents the baseball's height in feet. When factored, this
equation is -16(-7)(t+ 2).
What is a reasonable time for it to take the baseball to land on the ground?
OA 2 seconds
ОВ
7 seconds
C. 5 seconds
D.
9 seconds
Mathematics
1 answer:
Studentka2010 [4]3 years ago
7 0

9514 1404 393

Answer:

  A.  7 seconds

Step-by-step explanation:

We assume your factored equation is something like ...

  h(t) = -16t(t -7)(t +2)

The time it takes the ball to reach the ground is the positive value of t that makes a factor zero:

  t -7 = 0   ⇒   t = 7

The ball will land on the ground in 7 seconds.

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7 0
3 years ago
Write each Percent as a decimal and as a mixed number or fraction in simplest form
sveticcg [70]

p\%=\dfrac{p}{100}\\\\225\%=\dfrac{225}{100}=2\dfrac{25}{100}=2.25=2\dfrac{1}{4}\\\\550\%=\dfrac{550}{100}=\dfrac{55}{10}=5\dfrac{5}{10}=5.5=5\dfrac{1}{2}\\\\0.8\%=\dfrac{0.8}{100}=\dfrac{0.8\cdot10}{100\cdot10}=\dfrac{8}{1,000}=0.008=\dfrac{1}{125}\\\\0.06\%=\dfrac{0.06}{100}=\dfrac{0.06\cdot100}{100\cdot100}=\dfrac{6}{10,000}=0.0006=\dfrac{3}{5,000}

6 0
2 years ago
4 times a number is 32 less than the square of that number. Find the negative solution.
zvonat [6]

Answer:

<u>The negative solution is -4</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

x = a number

4x = x² - 32 (4 times a number is 32 less than the square of that number)

2. Let's solve for x and find the negative solution:

4x = x² - 32

-x² + 4x + 32 = 0

x² - 4x - 32 = 0 (Multiplying by - 1)

(x - 8) (x + 4) = 0

(x₁  - 8) = 0

(x₂ + 4) = 0

x₁ = 8

<u>x₂ = -4</u>

<u>The negative solution is -4</u>

3 0
2 years ago
Which ratio is greater than 11/16?<br> a. 22:32<br> b. 3:8<br> c. 1:2<br> d. 3:4
Allushta [10]

Answer:

3/4

Step-by-step explanation:

Due it having a ratio of .75 instead of the .6875 of the other answers.

5 0
2 years ago
Kain graphs the hyperbola (y+2)^2/64 − (x+5)^2/36 = 1 . How does he proceed? Drag a value, phrase, equation, or coordinates in t
cupoosta [38]

Answer:

1st box: (-5,-2)

2nd box: up and down

3rd box: 8

4th box: +-4/3

5th box: y+2 = +-4/3 (x+ 5)

Step-by-step explanation:

Just took the k12 unit test, hope this helps!

7 0
2 years ago
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