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shusha [124]
3 years ago
12

One root of f(x)=x^3-4x^2-20x+48 is x = 6. What are all the factors of the function? Use the Remainder Theorem.

Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

Answer:

(x - 6)(x + 4)(x - 2)

Step-by-step explanation:

since x = 6 is a root then (x - 6) is a factor

x³ - 4x² - 20x + 48 ÷ (x - 6)

= (x - 6)(x² + 2x - 8)

= (x - 6)(x + 4)(x - 2) ← factors of f(x)

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Answer:

8 weeks

Step-by-step explanation:

Given data

Matteo

Amount= $400

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Hence his balance after x weeks is given as

y=400-10x-------------1

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Hence his balance after x weeks is given as

y=200+15x-------------2

Equate 1 and 2

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collect like terms

400-200=15x+10x

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x= 200/25

x= 8 weeks

Hence it will take 8 weeks

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3 years ago
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antiseptic1488 [7]
She should get $12.91 back
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3 years ago
Three pounds of lawn seed covers 1800 square feet how many 4 pound bags are needed to cover 8400 square feet.
VikaD [51]
You need to find the unit rate of 3 : 1800 first by dividing 1800 and 3

1800 ÷ 3 = 600

So this means for every 1 pound bag it covers 600 square feet. You now need to multiply 600 and 4 to see how many square feet 4 pounds cover.

600 × 4 = 2400

So each 4 pounds covers 2400 sq ft. Now you have to divide 8400 and 2400 to find how many bags of 4 pounds you need

8400 ÷ 2400= 3.5

You need 3.5 bags of 4 pounds.
Technically you would need 4 bags because you’d have to round it up.

Hope this helps you!! :)

7 0
3 years ago
370 is 125% of what number?
bonufazy [111]

Answer:

125/100 x N = 370

x 100 x 100

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