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3 years ago

(x² + 6x − 16)(x − 2) = ax³ + bx² + cx + d

Mathematics

1 answer:

stellarik [79]3 years ago

3 0

B is the right answer to this question

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3. Mrs. Garcia's class sold bottles of lemonade for $1.36 each and Mr. Runner's class sold protein bars for $1.65 each. Together

podryga [215]

Answer:

324.6

Step-by-step explanation:

because Together, the classes sold 79 items and earned $118.17 for their school

7 0

3 years ago

What is the difference?

Serhud [2]

Answer:

The option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

The difference of the given expression is

$\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Step-by-step explanation:

Given expression is $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

To find the difference of the given expression as below :

$\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-9)})-({\frac{x+1}{x^2-9})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x^2-3^2)})-({\frac{x+1}{x^2-3^2})$

$=\frac{2x+5}{x(x-3)}-(\frac{3x+5}{x(x-3)(x+3)})-({\frac{x+1}{(x-3)(x+3)})$

( using the formula $a^2-b^2=(a+b)(a-b)$ )

$=\frac{2x+5(x+3)-(3x+5)-x(x+1)}{x(x-3)(x+3)}$

$=\frac{2x^2+6x+5x+15-3x-5-x^2-x}{x(x-3)(x+3)}$ (adding the like terms)

$=\frac{x^2+7x+10}{x(x^2-9)}$ ( by factoring the quadratic polynomial )

$=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore $\frac{2x+5}{x^2-3x}-(\frac{3x+5}{x^3-9x})-({\frac{x+1}{x^2-9})=\frac{(x+5)(x+2)}{x^3-9x}$

Therefore the difference of the given expression is

$\frac{(x+5)(x+2)}{x^3-9x}$

Therefore option $\frac{(x+5)(x+2)}{x^3-9x}$ is correct

8 0

3 years ago

Which triangles are similar?

Bumek [7]

A and B because they both have the same angle

4 0

3 years ago

What is (2x4)+(12x2)/4? Will give out brainliest!!<br> Also press search+L

s344n2d4d5 [400]

Answer:

Step-by-step explanation:

PEMDA ( ( ), ^, x, ÷, +, -)

write equation

(2x4) + (12x2) ÷ 4 =?

solve

(2x4) = 8

rewrite

8 + (12x2) ÷ 4

solve

(12x2) =24

rewrite

8 + 24 ÷ 4

solve

24 ÷ 4 = 6

rewrite

8 + 6

Solve

8+6=14

Answer = 14

Hope this helped!

~Lunar Rose. Moon

4 0

3 years ago

Simplify 2X^3- 3x^2- 5x +3 / x+ 1

Maslowich

Answer:

-6x+3÷x+1

Step-by-step explanation:

2x^3-3x^2-5x+3÷x+1

2x ×2x ×2x-3x +3x-5x+3÷x+1

8x-9x-5x+3÷x+1

8x-14x+3÷x+1

-6x+3÷x+1

6 0

4 years ago