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Dvinal [7]
2 years ago
15

Jerome planned to buy balloons that come in packages of 16. He needed enough for 114 people, What is the least number of package

s of balloons he can buy in order to have one balloon for each person?
​
Mathematics
1 answer:
Vladimir [108]2 years ago
3 0

Answer:

The least number of packages of balloons he can buy in order to have one balloon per person is 8.

Step-by-step explanation:

;)

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20% of 40 is 8

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Graph the inequality.<br> 1
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6 0
2 years ago
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
I need help please and thank you
nasty-shy [4]

Answer:

x=28

Step-by-step explanation:

x-4 =8(3)

x-4 =24

x= 28

7 0
3 years ago
Read 2 more answers
Can you factor the GCF: 21x3y4 + 15x2y2 − 12xy3?
OLga [1]
3xy^2(7(x^2)(y^2)+5x-4y)
3 0
3 years ago
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