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andriy [413]
3 years ago
10

Mr jean bought 4 packs of pens. Each pack had 4 pens. He gave 5 to Mrs Fishback and kept the rest. How many pens does Mr jean ha

ve now?
Mathematics
1 answer:
katovenus [111]3 years ago
5 0
11 pens

Explanation:Since one pack contains 4 pens and there are 4 packs:
4 pacs x 4 pens=16
He gives 5 pens to Mrs. Fishback
16-5=11

He has 11 pens left
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Hi, am I supposed to find the stationary points of the f(x) and g(x) then use the distance formula to solve for the final answer
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9514 1404 393

Answer:

  maximum difference is 38 at x = -3

Step-by-step explanation:

This is nicely solved by a graphing calculator, which can plot the difference between the functions. The attached shows the maximum difference on the given interval is 38 at x = -3.

__

Ordinarily, the distance between curves is measured vertically. Here that means you're interested in finding the stationary points of the difference between the functions, along with that difference at the ends of the interval. The maximum difference magnitude is what you're interested in.

  h(x) = g(x) -f(x) = (2x³ +5x² -15x) -(x³ +3x² -2) = x³ +2x² -15x +2

Then the derivative is ...

  h'(x) = 3x² +4x -15 = (x +3)(3x -5)

This has zeros (stationary points) at x = -3 and x = 5/3. The values of h(x) of concern are those at x=-5, -3, 5/3, 3. These are shown in the attached table.

The maximum difference between f(x) and g(x) is 38 at x = -3.

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3 years ago
Perform the indicated operation. -6 + (-5) + 7
olga2289 [7]

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5 0
3 years ago
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Distribute and combine like terms. Please show all of your work.<br><br> -5(3x + 7) - 4(x - 4) + 11
Varvara68 [4.7K]

For this case we have the following expression:

-5 (3x + 7) -4 (x-4) +11

For simplicity we follow the steps:

We apply distributive property to the terms within the parenthesis, bearing in mind that:

- * + = -\\- * - = +\\-15x-35-4x + 16 + 11 =

We add similar terms taking into account that equal signs are added and the same sign is placed, while different signs are subtracted and the sign of the major is placed.

-15x-4x-35 + 16 + 11 =\\-19x-8

ANswer:

-19x-8

5 0
3 years ago
Read 2 more answers
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