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3 years ago

Slope intercept is what they're looking for

Mathematics

1 answer:

antiseptic1488 [7]3 years ago

4 0

Super easy

y=mx+b
m=slope
b=yinterept

yintercept=4
slope=-3
y=-3x+4

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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x

mote1985 [20]

GIVEN:

We are given the following polynomial;

$x^3+x^2+4x+4$

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

$(x^3+x^2)+(4x+4)$

We now take the common factor in each group;

$\begin{gathered} x^2(x+1)+4(x+1) \\ \\ (x^2+4)(x+1) \end{gathered}$

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

$\begin{gathered} x^2+4=0 \\ \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\ \\ x^2=-4 \\ \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\ \\ x=\pm\sqrt{-4} \\ \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\ \\ x=\pm2i \end{gathered}$

Therefore, the factors of the other parenthesis are;

$(x+2i)(x-2i)$

Therefore, the complete factorization of the polynomial is;

ANSWER:

$(x+1)(x+2i)(x-2i)$

Option C is the correct answer.

4 0

1 year ago

What is the value of 34 + 3.5(−44÷2)? a.−111 b.−43 c.43 d.111

mart [117]

Answer:

Step-by-step explanation:

-44÷2=-22

34+3.5*-22= -43

5 0

3 years ago

Find the exact value of sin (-270 degrees).

user100 [1]

The exact value of sin (-270) is determined using the calculator in degrees mode. The answer is equal to 1. If the radians mode is used, -270 is equal to -2 pi/3. Hence using the calculator, we can verify that the answer is still 1. The value of -270 matters.

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3 years ago

Winton wants to find the volume of a cube. He uses the formula for volume of a cube V= <img src="https://tex.z-dn.net/?f=%20%7Bs

N76 [4]

0.125 cubic centimeters.

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3 years ago

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tammy is 14 years old. she has a younger sister and an older brother. her sister is 12. the mean of all their ages is 14. how ol

mafiozo [28]

Answer:

Step-by-step explanation: