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Makovka662 [10]
3 years ago
15

13. Given the function g(x) graphed here.

Mathematics
1 answer:
aksik [14]3 years ago
3 0

Answer:

g(-3) = 2

g(0) = 3

Step-by-step explanation:

Given

The attached graph

Required

Determine

g(-3)

g(x) = 3

<em>Since a graph has been provided, the question will be solved graphically;</em>

Solving g(-3)

This implies that;

x = -3

And the interpretation is to solve for the y value when x = -3

From the attached graph;

When x = -3; y = 2

Hence;

g(-3) = 2

Solving g(x) = 3

This implies that;

y = 3

And the interpretation is to solve for the x value when y = 3

From the attached graph;

When y = 3; x = 0

Hence;

g(0) = 3

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Answer:

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Step-by-step explanation:

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Find the absolute minimum and absolute maximum values of f on the given interval. f(x) = x − ln 8x, [1/2, 2]
insens350 [35]
The given function is 
f(x) =  x - ln(8x), on the interval [1/2, 2].

The derivative of f is
f'(x) = 1 - 1/x
The second derivative is 
f''(x) = 1/x²

A local maximum or minimum occurs when f'(x) = 0.
That is,
1 - 1/x = 0  => 1/x = 1  => x =1.
When x = 1, f'' = 1 (positive).
Therefore f(x) is minimum when x=1.
The minimum value is
f(1) = 1 - ln(8) = -1.079

The maximum value of f occurs either at x = 1/2 or at x = 2.
f(1/2) = 1/2 - ln(4) = -0.886
f(2)  = 2 - ln(16) = -0.773
The maximum value of f is
f(2) = 2 - ln(16) = -0.773
A graph of f(x) confirms the results.

Answer: 
Minimum value  = 1 - ln(8)
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4 0
3 years ago
Jim makes $480 in a 4-week period helping his grandfather on the farm, He spends an average of 15 hours a week
marin [14]

Answer:

he makes $8 an hour

Step-by-step explanation:

Since he makes $480 over 4 weeks you divide that by 4 and you should get 120. So that means he makes $120 in one week and since he works 15 hours a week you divide 120 by 15 and you should get 8

6 0
3 years ago
Read 2 more answers
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