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2 years ago

PLEASE HELP, THIS IS LAST QUESTION AND I WANNA GO TO BED

Mathematics

1 answer:

Anettt [7]2 years ago

7 0

Answer:

x^4 -x^3 -4x^2-3

Step-by-step explanation:

f(x)=x^4−x^2+9

g(x)=x^3+3x^2+12

(f−g)(x)= x^4−x^2+9 - (x^3+3x^2+12)

Distribute the minus sign

(f−g)(x)= x^4−x^2+9 - x^3-3x^2-12

I like to line them up vertically

x^4 −x^2+9

- x^3 -3x^2-12

---------------------------

x^4 -x^3 -4x^2-3

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A fish swims at a speed of 20 miles/hour. how long will it take the fish to travel 10 miles

yawa3891 [41]

20/60 = 10/x
Cross multiply 10 with 60
600
Divide by 20
30.
It will take 30 minutes.

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2 years ago

Can somebody please help me with this pleaseee

Semmy [17]

Answer: -2, 2

Step-by-step explanation:

0 = 5x^2 -20

0 = 5(x^2 -4)

0 = 5(x - 2)(x + 2)

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2 years ago

3 out of 20 boxes are damaged what percent is damaged?

Goshia [24]

The answer is 15%.
Just divide 3 and 20.

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2 years ago

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A right rectangular prism has a volume of 470.40 cm³. The length of the solid is 6.4 cm and the width is 9.8 cm.

Bogdan [553]

V = l * w * h
470.40 = 6.4 * 9.8 * h
Multiply the length and width on the right side of the equation.

470.40 = 62.72 * h
Divide both sides by 62.72
7.5 cm = h

CHECK
V = l * w * h
V = 6.4 * 9.8 * 7.5
V = 470.4 cm^3

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2 years ago

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According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 15x11 – 6x8 + x3 – 4x + 3?

scoundrel [369]

we have

$f(x) = 15x^{11} -6x^{8} + x^{3} - 4x + 3$

we know that

<u>The Rational Root Theorem</u> states that when a root 'x' is written as a fraction in lowest terms

$x=\frac{p}{q}$

p is an integer factor of the constant term, and q is an integer factor of the coefficient of the first monomial.

in this problem

the constant term is equal to $3$

and the first monomial is equal to $15x^{11}$ -----> coefficient is $15$

possible values of p are $1, and\ 3$

possible values of q are $1, 3, 5, and\ 15$

therefore

<u>the answer is</u>

The all potential rational roots of f(x) are

(+/-) $\frac{1}{15}$ ,(+/-) $\frac{1}{5}$ ,(+/-) $\frac{1}{3}$ ,(+/-) $\frac{3}{5}$ ,(+/-) $1$ ,(+/-) $3$

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2 years ago

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