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Feliz [49]
3 years ago
9

Find the value of x in 5x + 8 = - 7​

Mathematics
2 answers:
Lerok [7]3 years ago
6 0

Answer:

x=-3

Step-by-step explanation:

subtract 8 from both sides

5x+8-8=-7-8

simplify

5x=-15

divide both sides by 5

x=-3

hope this helped

Gnom [1K]3 years ago
5 0
X=-3 the value of x is -3
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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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