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ikadub [295]
4 years ago
9

A sogun would most likely be found? ​

Mathematics
1 answer:
Archy [21]4 years ago
8 0

Answer:

shogun would most likely be found. on the battlefield

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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
2 years ago
The ratio of boys to girls in a classroom is 7 to 11. If
Vesna [10]

Answer:

Step-by-step explanation:

The ratio of boys to girls is

7

:

11

, and there are

49

boys, so therefore there are

49

7

⋅

11

=

77

girls

Total number of boys and girls in the classroom is

77

+

49

=

126

.

5 0
3 years ago
Round 418 to the nearest ten.
marissa [1.9K]

Answer:

The answer should be 420.

~

Step-by-step explanation:

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Martin earned the following scores on his last five tests.
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IQR= 18 is the interquartile range of his scores.
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At wild thing zoo, you can rent a motorized cart to tour grounds for a $3 initial charge and $7 per hour. at safari zoo, you can
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When setting up the equation you have the initial fee and the hourly fee. The hourly fee is what must be multiplied by the number of hours which is our unknown

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