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Artyom0805 [142]
3 years ago
11

A ball is thrown in the air from a ledge. It's height in feet represented by f(x)=16(x^2-6x-7), where x is the number of seconds

since the ball has been thrown. The height of the ball is 0 feet when it hits the ground. How many seconds does it take the ball to reach the ground?
Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0

Answer:

Step-by-step explanation:

Since we know that the height is 0, we can figure out how long it took the ball to reach the ground by setting f(x) = 0 and solving for x:

f(x) = 16(x^{2} - 6x - 7)

0 = 16(x^{2} - 6x - 7)

0 = x^{2} - 6x - 7

0 = (x - 7)(x + 1)

x = -1, 7

Because time can only be positive, the answer is 7 seconds.

lutik1710 [3]3 years ago
4 0

Answer:

7 seconds.

Step-by-step explanation:

height h = 16(x^2-6x-7) = 0

x^2 - 6x - 7 = 0

(x - 7)(x + 1) = 0

x = 7 seconds (we ignore the negative).

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Akimi4 [234]

Answer:

x = 5

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Pulling out like terms :

2.1     Pull out like factors :

  x2 - 5x  =   x • (x - 5)

Equation at the end of step  2  :

 x • (x - 5)  = 0

Step  3  :

Theory - Roots of a product :

3.1    A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

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2 years ago
I NEED HELP WHATS THE VALUE OF X ??? #6
sukhopar [10]

Answer:

10°

Step-by-step explanation:

Complementary angles where either of two angles whose sum is 90°

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90°-50°=40°

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So the answer is 10°

6 0
3 years ago
What is the sum of the first 47 terms of the sequence? -215, -201, -187, -173, ...​
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Answer:

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Step-by-step explanation:

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Here a₁ = - 215 and d = 14 , then

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Answer:

3

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Step-by-step explanation:

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