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Marta_Voda [28]
2 years ago
7

Molly rewrote the equation as shown:

Mathematics
2 answers:
12345 [234]2 years ago
8 0

Answer:

addition property of equality

ra1l [238]2 years ago
3 0
Addition property of equality
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Find a and b so that f(x) = x^3 + ax^2 + b will have a critical point at (2,3).
Digiron [165]

Using the critical point concept, it is found that a = -3 and b = 7.

<h3>What are the critical points of a function?</h3>
  • The critical points of a function are the values of x for which:

f^{\prime}(x) = 0

In this problem, the function is:

f(x) = x^3 + ax^2 + b

Hence, the derivative is:

f^{\prime}(x) = 3x^2 + 2ax

Then:

f^{\prime}(x) = 0

3x^2 + 2ax = 0

x(3x + 2a) = 0

x = 0

3x + 2a = 0

3x = -2a

x = -\frac{2a}{3}

Since the critical point is at x = 2, we have that:

-\frac{2a}{3} = 2

-2a = 6

2a = -6

a = -3

Then:

f(x) = x^3 - 3x^2 + b

Critical point at (2,3) means that when x = 2, y = 3, then:

3 = 2^3 - 3(2)^2 + b

8 - 12 + b = 3

b = 7

You can learn more about the critical point concept at brainly.com/question/2256078

4 0
1 year ago
Help me please,Thanks
Alborosie

the formula for volume of a prism is base x height
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If a rectangle JKLM, JK is equal to 12 feet, and LN is equal to 6.5 feet, find KM
Rus_ich [418]
12.5 feet is the answer.


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3 years ago
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What is the greatest common factor of 24 and 84? A. 6 B. 12 C. 20 D. 24
sladkih [1.3K]

The greatest common factor for these two numbers is 6 because if you divide 24 by 6 you get 4 and if you divide 84 by 6 you get 14.

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Answer:

you can get 360 miles on a full tank

Step-by-step explanation:

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