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3 years ago

What is the factored form of x^3 + 125?

Mathematics

2 answers:

Lerok [7]3 years ago

7 0

$x^3+125=x^3+5^3$

Sums of cubes can be factored as

$a^3+b^3=(a+b)(a^2+ab+b^2)$

$x^3+125=(x+5)(x^2+5x+25)$

lukranit [14]3 years ago

4 0

Answer:C

Step-by-step explanation:

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$5 PAYPAL + BRAINLIEST TO ANSWER THS

expeople1 [14]

Answer:

Quadratic Equation:

$3x^2=2x +5$

$\text{Standard Form: } 3x^2-2x-5=0$

From the standard form of a Quadratic Function, we get:

$a=3,\:b=-2,\:c=-5$

Discriminant:

$\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)$

$\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5$

$\Delta=64$

From the discriminant, we conclude that the equation will have two real solutions.

State that:

$b^2-4ac$

$b^2-4ac =0:\text{The equation has 1 real solution}$

$b^2-4ac >0:\text{The equation has 2 real solutions}$

By the way, solving the equation given:

$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$

$x=\frac{2\pm\sqrt{64}}{6}$

$x=\frac{2\pm8}{6}$

$x_{1} =\frac{10}{6}=\frac{5}{3}$

$x_{2}=\frac{-6}{6} =-1$

5 0

3 years ago

Simplify (-8q^3r^4s^2)^2

koban [17]

Answer:

64q^6r^8s^4

Step-by-step explanation:

(-8q^3r^4s^2)^2

= (-8)^2 q^(3*2) r^(4*2) s^(2*2)

= 64q^6r^8s^4

3 0

3 years ago

Angle a=126°. What is the measure of angle b? Explain how you calculated your answer.

velikii [3]

It’s 57 57 57 okay i had this question once

7 0

3 years ago

HELP PLEASE 40 POINTS The graph shows the prices of different numbers of bushels of corn at a store in the current year. The tab

Vesna [10]

Answer:

see below

Step-by-step explanation:

Part A

Since the lines goes through the point (0,0) the graph is proportional. We can find the rate of change by take the price of corn and dividing by the number of bushels

24/3 = 8 dollars/ bushel

Part B

Previous Year Number of Bushels Price of Corn (dollars)

3 21

6 42

9 63

12 84

We can find the rate of change for the previous year by using the slope formula

m = (y2-y1)/(x2-x1)

m = (84-63)/(12-9)

=21 / 3

= 7

The previous year was 7 dollars per bushel

The increase was 8-7 = 1 dollar per bushel

4 0

3 years ago

Read 2 more answers

What percent of 72 is 9? 1/8% 1 1/4% 12 1/2% 125%

USPshnik [31]

Answer:

$12\dfrac 12\%$

Step by step explanation:

$\text{Let it be}~ x\%,\\\\~~~~~72 \cdot x \% = 9\\\\\\\implies 72\cdot \dfrac{x}{100} = 9\\\\\\\implies x = \dfrac{9 \times 100}{72}\\\\\\\implies x = \dfrac{100}{8}\\\\\\\implies x = \dfrac{25}2\\\\\\\implies x = 12 \dfrac 12\\\\\\\text{Hence 9 is}~ 12\dfrac 12\% ~ \text{of}~ 72$

4 0

2 years ago