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olga2289 [7]
2 years ago
11

The graph of f ′ (x), the derivative of f of x, is continuous for all x and consists of five line segments as shown below. Given

f (–3) = 6, find the absolute maximum value of f (x) over the interval [–3, 0].
Graph of line segments increasing from x equals negative 4 to x equals negative 3, decreasing from x equals negative 3 to x equals 0, increasing from x equals 0 to x equals 3, constant from x equals 2 to x equals 4 and decreases from x equals 4 to x equals 5. x intercepts at x equals negative 4, x equals 0, x equals 5.

3
4.5
6
10.5

Mathematics
1 answer:
myrzilka [38]2 years ago
4 0

Answer

10.5

Step-by-step explanation:

The other answer is correct until solving for C.  f(-3) = 6, not -6.  So C = 21/2.  This makes f(0) = 10.5.  Local Max should occur at x intercepts on the f'(x) graph.

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A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation i
velikii [3]

Answer: One tail test.

Step-by-step explanation:

Given : A sample of 36 observations is selected from a normal population. The sample mean is 12, and the population standard deviation is 3.

Also, The set of hypothesis to conduct a test :-

H_0:\mu\leq10\\\\H_1:\mu>10

The kind of test need to perform is dependent upon the alternative hypothesis.

Since, the alternative hypothesis is one tailed (right-tailed), so the test is one tail test.

5 0
3 years ago
What is the distributive property to expand the algebraic expression.5(2f - 6g)
Gnoma [55]

Answer:

10f-30g

Step-by-step explanation:

we have:

5(2f - 6g)

we apply distributive property:

5(2f - 6g)

5*2f+5*(-6g)

finally we have:

10f-30g

7 0
3 years ago
Identify the equation of a line in slope-intercept form that is perpendicular to y = -1/3 x + 2 and passes through (2, 1).
kari74 [83]
To get your answer, you will need to find the perpendicular slope for -1/3x which is just the opposite therefore it will be 3x. Your slope is 3x as perpendicular so use this slope to do point slope. Y-1=3(x-2). Distribute y-1=3x-6. Add 1 to both sides. (-1+1) (-6+1)=-5. So your equation in slope intercept form is y=3x-5. Going through the two points.

Hope this helps!
3 0
3 years ago
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
BRAINLIEST TO WHOEVER HELPS IM DESPERATE PLZ :). Winston is creating a rectangular piece of 8-bit art using squares that are x p
Furkat [3]

Answer:  a(x) = x^2 + 40 x + 384

Step-by-step explanation:

Since, here the length of the rectangle is represented by the function l(x) = x + 24,

While the breadth of the rectangle is represented by the function w(x) = x + 16.

And, we know that the area of the rectangle = length of the rectangle l(x) × breadth of the rectangle.

a(x) = l(x) × w(x)

a(x) = (x + 24) × (x + 16)

a(x) = x^2 + 24 x + 16 x + 24\times 16

a(x) = x^2 + 40 x + 384


4 0
3 years ago
Read 2 more answers
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