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olya-2409 [2.1K]
3 years ago
10

Find the local maximum and minimum values of f(x)=x^3-6x^2+5

Mathematics
1 answer:
Roman55 [17]3 years ago
5 0

Answer:

Local maxima at x=0

Local minima at x=4

Step-by-step explanation:

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Marizza181 [45]
<u>-2x + 1 = 9</u>

Add 2x to each side of the equation:

1 = 2x + 9

Subtract 9 from each side:

-8 = 2x

Divide each side by 2 :

<u>-4 = x</u>
4 0
3 years ago
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The mean salary of people living in a certain city is $37500 with a standard deviation of $1561. a sample of 33 people is select
Murrr4er [49]
The probability is 0.9671.

The z-score for this is given by

z = (x - μ)/(σ/√n)
z = (38000-37500)/(1561/(√33)) = 1.84.

Using a z-table (http://www.z-table.com) we see that the area under the curve to the left of, less than, this is 0.9671.
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3 years ago
Compare the numbers using &lt;, &gt;, or =. 0.78 ___ 0.708 &lt; &gt; =
taurus [48]
Compare the numbers using <, >, or =. 0.78 ___ 0.708 < > =
7 0
3 years ago
A school is planning to construct two rectangular play areas in the playground. The length of play area A must be 1 foot longer
Anna11 [10]

Answer:

А.The system has two solutions, but only one is viable because the other results in a negative width.

Step-by-step explanation:

Given

Let:

L_A \to length of play area A

W_A \to width of play area A

L_B \to length of play area B

W_B \to width of play area B

x \to Area of A

y \to Area of B

From the question, we have the following:

L_A = 1 + 4W_A

W_B = 2 + W_A

L_B = 2 + 3W_B

x = y

The area of A is:

x = L_A * W_A

This gives:

x = (1 + 4W_A) * W_A

Open bracket

x = W_A + 4W_A^2

The area of B is:

y = L_B * W_B

y = (2 + 3W_B) * ( 2 + W_A)

Substitute: W_B = 2 + W_A

y = (2 + 3(2 + W_A)) * ( 2 + W_A)

Open brackets

y = (2 + 6 + 3W_A) * ( 2 + W_A)

y = (8 + 3W_A) * ( 2 + W_A)

Expand

y = 16 + 8W_A + 6W_A + 3W_A^2

y = 16 + 14W_A + 3W_A^2

We have that:

x = y

This gives:

W_A + 4W_A^2 = 16 + 14W_A + 3W_A^2

Collect like terms

4W_A^2 - 3W_A^2 + W_A  -14W_A  - 16 =0

W_A^2  -13W_A  - 16 =0

Using quadratic calculator, we have:

W_A = -14.1 or W = 1.13 --- approximated

But the width can not be negative; So:

W = 1.19

7 0
3 years ago
Write an equation of the line that passes through the given point and is perpendicular to the given line (-6,-4); y=1/3x+1
slamgirl [31]

Answer:

y=−3x−22

Step-by-step explanation

To find the perpendicular slope you must flip reciprocals and as well as the signs. Then graph on desmos to see if it passes through (-6,-4)

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