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belka [17]
3 years ago
15

Let f be a function such that f "(x) = 6x + 8.

Mathematics
1 answer:
Korolek [52]3 years ago
3 0
F''(x) = 6x + 8
∫f''(x) = f'(x) = 3x^2 + 8x + c1
∫f'(x) = f(x) = x^3 + 4x^2 + c1x + c2

At point (0, -2),
c2 = -2

3x - y = 2
y = 3x - 3

f'(0) = 3
c1 = 3

Therefore, the required function is
f(x) = x^3 + 4x^2 + 3x - 2
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The sum of two numbers is x. If one of the numbers is 12, what is the other ?
Vlad1618 [11]
If the sum of two numbers is x

Then the equation is like this:

a+b = x

Then it says one of the number is 12. Change either a or b into 12

12 + b =x

If we want to find the other number, we need the make it into the subject

b = x - 12

Hope that help.
6 0
3 years ago
Read 2 more answers
What is the value of the expression below when w = 5?<br> 2w2 – 2w + 3
bagirrra123 [75]

Answer:

I got you

Step-by-step explanation:

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5 0
3 years ago
When diving, a bald eagle can reach a speed of 200 miles per hour. What is this speed in feet per second? Round to the nearest h
LenaWriter [7]

Answer:

A mile is equal to 5280 feet

You start off with

200 miles per hour

If you multiply 200 by 5280 you can find the speed in feet per hour

1,056,000 feet per hour

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If you divide 1,056,000 by 60 you can find the speed in feet per minute

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Then if you divide that by 60 you can find the speed in feet per seconds

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Step-by-step explanation:

3 0
2 years ago
HELP! ASAP!
Naily [24]

Answer:

Step-by-step explanation:

Scale= length on drawing / actual length

Let the actual length b x

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3/10=2/5x

Cross multiply

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3 0
3 years ago
What is the slope of the line that passes through the points (-10, 9) and (-12, 7)
Iteru [2.4K]

\text{Given that,}~~\\\\(x_1, y_1) = (-10,9)~~\text{and}~~ (x_2,y_2) = (-12,7)\\\\\\\text{Slope,}~~ m = \dfrac{y_2 - y_1}{x_2 -x_1}= \dfrac{7-9}{-12+10} =\dfrac{-2}{-2}  = 1

6 0
2 years ago
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