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pychu [463]
3 years ago
15

Add the following polynomials, then place the answer in the proper location on the grid.

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

x^3 - 6x + 2

Step-by-step explanation:

The given polynomials can be added together by adding like terms together as shown below:

=> Add together, the coefficient of all terms that have the power of 3.

(2x^3) + (x^3) + (-3x^3)

2x^3 + x^3 - 3x^3

3x^3 - 3x^3

x^3

=> (-4x^2) + (6x^2) + (2x^2)

-4x^2 + 8x^2

4x^2

=> (6x) + (-8x) + (-4x)

6x - 8x - 4x

-6x

=> (-3) + (12) +(-7)

-3 + 12 - 7

2

The answer = x^3 - 6x + 2

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Determine how much money you will have after 20 years if you invest 20,000$ at 8%, compounded continuously?
Westkost [7]
20 000 * 0.08(8%)= 1600
1600 * 20(years) = 32 000

Therefore you would have $32 000 after 20 years
8 0
3 years ago
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Sandra is selling cookie dough for a fundraiser. She has a minimum fundraising goal of $150. If Sandra's mom gave her a $45 cont
grin007 [14]

Answer:

<h2>At least 21 cookie</h2>

Step-by-step explanation:

Firstly she needed to raise $150

and each cookie $5

let the number of cookie be x

let the expression for the fund raising be

150=5x

given that the mom gave her $45

then she need

150-45=5x

105=5x

x=105/5

x=21

Therefore she need to sell at least 21 cookie

         

6 0
3 years ago
Martha breaded 1/2 of fish and ate 1/3 how much did Martha eat
tigry1 [53]
So she breaded 1/2 of the fish and then ate 1/3 of that 1/2. So we need to find 1/3 of 1/2.

When you see "of" it means "×"

1/3 of 1/2 =
1/3 × 1/2 =
1/6

She ate 1/6 of the fish. She only ate 1/6 because fish is gross.
6 0
3 years ago
A fence is to be built to enclose a rectangular area of 320 square feet. The fence along three sides is to be made of material t
sergeinik [125]

The dimensions of the enclosure that is most economical to construct are; x = 14.22 ft and y = 22.5 ft

<h3>How to maximize area?</h3>

Let the length of the rectangular area be x feet

Let the width of the area = y feet

Area of the rectangle = xy square feet

Or xy = 320 square feet

y = 320/x  -----(1)

Cost to fence the three sides = $6 per foot

Therefore cost to fence one length and two width of the rectangular area

= 6(x + 2y)

Similarly cost to fence the fourth side = $13 per foot

So, the cost of the remaining length = 13x

Total cost to fence = 6(x + 2y) + 13x

Cost (C) = 6(x + 2y) + 13x

C = 6x + 12y + 13x

C  = 19x + 12y

From equation (1),

C = 19x + 12(320/x)

C' = 19 - 3840/x²

At C' = 0, we have;

19 - 3840/x² = 0

19 = 3840/x²

19x² = 3840

x² = 3840/19

x = √(3840/19)

x = 14.22 ft

y = 320/14.22

y = 22.5 ft

Read more about Maximization of Area at; brainly.com/question/13869651

#SPJ1

8 0
1 year ago
Be sure that polygon ABCD is not touching its image. Draw a line segment connecting point A and point AGH. Notice that intersect
Grace [21]

Answer:

The measure of the angle of intersection for   and  is 90°. As the line of reflection changes position, the angle measure stays the same.

Step-by-step explanation:

6 0
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