We will see that f'(x) > 0, which means that f(x) is an increasing function.
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How to prove that the function is increasing?</h3>
For any function f(x), if f'(x) > 0, then f(x) is increasing for any value of x.
Here we have the cubic function:
f(x) = x³ + 4x
If we differentiate this, we get:
f'(x) = df(x)/dx = 3x² + 4.
And notice that x² is always positive, then f'(x) > 0, which means that f(x) is an increasing function.
If you want to learn more about cubic functions:
brainly.com/question/20896994
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All you do is divide 96 divided by 6. That is your equation. Then when you divide it, you find that he will put 16 on each shelf. All of the shelves will have the same number of books. The next one all you do is add all of them up and it will equal 43. So he has 43 dvd in total. Now if he wants to only keep eight of the dvds you subtract eight from 43. That equals 35. Now all you do is divide that by 5 to see how many he will give each friend. Once you're finished with that you find that he will give 7 to each friend.
So, the answers to each problem are 16 with the equation using distributive property 2(44 + 2) divided by 6 and 7.
I hope this helps:) Please give brainliest:)
Answer:
Step-by-step explanation:
Since x = -15 is a vertical line, their is no y- intercept and the slope is undefined
Answer: Intercept of the equation = (9,0)
Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)
Step-by-step explanation:
Given: When t= the number of hours since Lauren left her house, the charge remaining in Lauren's battery, as a percentage, can be modeled by the equation B=63-7t .
To find the x-intercept, put B =0 (as x denoted the independent variable , here independent variable is 't')
Hence, the x-intercept of the equation = (9,0)
i.e. Charge remaining in Lauren's battery is 0 after 9 hours( since Lauren left her house)
