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Kobotan [32]
3 years ago
7

Mrs. Jones has a local bakery. Last week this expression shows how many peanut butter cupcakes she baked. 5 (2x -4) + 3(3 + 4x)

Part A: What is the simplified form of the expression above? Part B: If x = 6, how many cupcakes did Mrs. Jones bake last week?
Mathematics
1 answer:
3241004551 [841]3 years ago
8 0

Answer:

A. 22x-11

B. 121 cupcakes

Step-by-step explanation:

Part A:

The simplified form of the expression is

5(2x-4)+3(3+4x)

(10x-20)+(9+12x)

(10x+12x)+(9-20)

22x-11

Part B:

Put x=6 in the above simplified equation to get the number of cupcakes Mrs. Jones bake last week

22x-11

22(6)-11

132-11

121 cupcakes

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Find a cubic function with the given zeros.
tester [92]

The cubic function is f(x)=x^3+3x^2-46x-168

Option D is correct

Step-by-step explanation:

We need to find the cubic function with the given zeros -6,7,-4

If -6,7,-4 are zeros of the function then:

x=-6, x=7 and x=-4

=> x+6=0,x-7=0 and x+4=0

Multiplying these terms to find the cubic function:

(x+6)(x-7)(x+4)

Solving:

(x+6)(x-7)(x+4)\\=(x+6)(x(x+4)-7(x+4))\\=(x+6)(x^2+4x-7x-28)\\=(x+6)(x^2-3x-28)\\=x(x^2-3x-28)+6(x^2-3x-28)\\=x^3-3x^2-28x+6x^2-18x-168\\Combining\,\,like\,\,terms:\\=x^3-3x^2+6x^2-28x-18x-168\\=x^3+3x^2-46x-168

So, the cubic function is f(x)=x^3+3x^2-46x-168

Option D is correct

Keywords: cubic function

Learn more about cubic function at:

  • brainly.com/question/1464739
  • brainly.com/question/1560475
  • brainly.com/question/2568692

#learnwithBrainly

5 0
3 years ago
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