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3 years ago

Write f(x) in a non-factored way from polynomial equation f(x)=(x+2)(-x+3)(x-2)?

Mathematics

1 answer:

Lelu [443]3 years ago

5 0

Answer:

f(x) = -x³ + 3x² + 4x - 12

Step-by-step explanation:

f(x)=(x+2)(-x+3)(x-2)

Step 1. Use the difference of two squares

(x + 2)(x - 2) = x² - 4

f(x) = (-x + 3)(x² - 4)

Step 2. Long multiplication

x² - 4

-x + 3

-x³ + 4x

+ 3x² - 12

-x³ + 3x² + 4x - 12

f(x) = -x³ + 3x² + 4x - 12

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3 years ago

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Step-by-step explanation:

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3 years ago

Evaluate the expression (-4+4i)(1+4i)(1+4i) and write the result in the form a+bi

allsm [11]

Answer:

Step-by-step explanation:

Since 2 of the 3 binomials are identical I would start the distribution there.

(1 + 4i)(1 + 4i) = $1+8i+16i^2$

I'm sure you have learned in class by now that i-squared is = to -1, so we can make that substitution:

1 + 8i + 16(-1) which simpifies to

1 + 8i - 16 which simplifies further to

-15 + 8i. Now we need to FOIL in the last binomial:

(-15 + 8i)(-4 + 4i) = $60-60i-32i+32i^2$

Combine like terms to get

$60-92i+32i^2$

Again make the substitution of i-squared = -1:

60 - 92i + 32(-1) which simplifies to

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3 years ago

Whoever answers this can you please like show how you did it Idk how to do it

shusha [124]

Answer:

a) 2500 L b) 2250 L c) 98000 L d) 14.5 kg of rice, .725 kg of beef, 48.3 repeating kg of wheat.

Step-by-step explanation:

Ok so, this question looks intimidating but I promise it's not that bad.

a) They're asking how much water (L - meaning liters) would be needed for 25 baths.

To find this, they already give you how much water is needed for 1 bath. (100) Since this is the amount for 1 bath, we can find how much water is needed for 25 baths by multiplying 100 by 25. Your answer should be 2500 L of water.

b) This is the same thing again, but with wheat. They give us the information for how much wheat is used for 1 kg of wheat, which is 600 L. The question asks how much water would be needed to produce 3.75 kg of wheat, so we multiply 600 by 3.75 which equals 2250 L.

c) This is also the same thing but this time for beef. So we multiply 40000 by 2.45 which gives us 98000 L

d) To find this, we must divide 29,000 by the amount of water needed for 1 of each item, so we can find how much we would multiply the amount needed for 1 of each item in the first place (which is the amount of rice, beef, wheat)

So, 29,000/2000 = 14.5 kg of rice

29,000/40000 = .725 kg of beef

29,000/600 = 48.3 repeating kg of wheat.

3 0

3 years ago