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Bad White [126]
3 years ago
10

I need help with this please

Mathematics
1 answer:
marusya05 [52]3 years ago
4 0

Answer:

Q 1:9

Q2:900

Step-by-step explanation:

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A ball is thrown in the air from a ledge. Its height in feet is represented by  f(x) = –16(x^2 – 5x – 6), where x is the number
leonid [27]
I believe your answer is 6 seconds.

Because the height of the ball = -16(x² - 5x - 6), when the height of the ball is 0, which is when it is on the ground, we can set -16(x² - 5x - 6) equal to 0. This also allows us to divide by -16, and then we can solve the equation:

x² - 5x - 6 = 0
(x - 6)(x + 1) = 0

So x = 6 or x = -1, and because a quantity of time cannot be negative, x would have to be 6, which means it takes 6 seconds for the ball to reach 0 feet.

I hope this helps!
6 0
4 years ago
Find (f-g)(x) when f(x)=3x+2 g(x)=2x^2-4 h(x)=x^2-x+7
Ad libitum [116K]
(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6
7 0
3 years ago
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4 years ago
Determine whether the improper integral converges or diverges, and find the value of each that converges.
Temka [501]

Answer:

It diverges.

Step-by-step explanation:

We are given the inetegral:  \int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx

\int\limits^{\infty}_2 \frac{1}{x} (\ln x)^2 dx=\int\limits^{\infty}_2 (\ln x)^2 d(\ln x)=\\\\=\lim_{t \to \infty} \int\limits^t_2 (\ln x)^2d(\ln x)=\lim_{t \to \infty} \frac{(\ln t)^3}{3} |^t_2=\infty-\frac{(\ln 2)^3}{3} =\infty

So it is divergent.

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4 years ago
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Answer:

This is a linear function.

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