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Liula [17]
3 years ago
10

Find the most general antiderivative of the function. (Check your answer by differentiation. Use C for the constant of the antid

erivative. Remember to use absolute values where appropriate.) f(x) = 3 5 − 9 x , x > 0
Mathematics
1 answer:
Kisachek [45]3 years ago
4 0

Answer:

35x - \frac{9x^2}{2} + C

Step-by-step explanation:

The antiderivative of the function is the same as the integral. To find the integral or antiderivative, reverse the process of differentiation method. Currently the function has degree 1. Through integration we increase the degree of each term by 1 and divide by the degree.

Thus 35 - 9x becomes 35x - \frac{9x^2}{2} + C. We add a constant C for any possible constant that was eliminated during differentiation.

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What is the solution to the inequality -6+ | 2p+3 | >7?
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Answer:

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
A library is open til' 5:00 P.M. On Wednesdays, the library closes 2 hours early. How many hours for a month is the library open
svet-max [94.6K]
So
if you assume that the month has 30 days and that the library opens at midnight, then
24 hours in a day
5 pm=12+5=17 hours
on wednessday=17-2=15 hours
wednessday=1/7 of week
so we find 1/7 of 30 which is 30/7=4 and 2/7
then subtract that from 30
30-4 and 2/7=25 and 5/7

ok so then we have
25 and 5/7 days is 17 hours and
4 and 2/7 days is 15 hours
so just multipy them and add

25 and 5/7 times 17=437.143 hours
4 and 2/7 days times 15 =64.2857
add

437.143+64.2856=501.429
so aprox 501.429

the real equation is  [(\frac{1}{7})(n)(15)]+[ (\frac{6}{7}) (n)(17)]=hours where n represents the number of days in the month

apros 501.429
8 0
2 years ago
Write an equation of the line that passes through the points (1, 2) and (-2, 5)
igor_vitrenko [27]

Answer:

y=-1x+3

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Step-by-step explanation:

Slope: -1

y-intercept: 3

5 0
2 years ago
Josh exercises at the gym 3 3/4 hours a week. He spends 2/5 of his time at the gym lifting weights. How many hours a week does J
Natali5045456 [20]

Answer:

1.5hours

Step-by-step explanation:

Firstly in this question, we convert the time given to minutes.

Using the conversion of 60 seconds make a minute, we have 3/4 hours as 3/4 * 60 = 45 minutes. Let’s add this to a total of 3 hours which is 180 minutes. This gives a total of 225 minutes.

Now, we are told that he spends 2/5 of his time lifting weight. This is equivalent to 2/5 * 225 = 90 minutes

We convert this to hour = 90/60 = 1.5 hours

3 0
3 years ago
How do you solve |x-4| is less than or equal to 2?
Harlamova29_29 [7]

Answer:

with your brain

Step-by-step explanation:

duhh8/7

7 0
2 years ago
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