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2 years ago

Factor 15x^3 – 25x^2 + 75x– 125

Mathematics

1 answer:

Semenov [28]2 years ago

5 0

Answer:

5(3x-5) × (x²+5)

Step-by-step explanation:

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For what x-values does sin(x) = -1

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$\pi /2$ or neg. 90 degrees

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3 years ago

What is the following product

Genrish500 [490]

For this case we must find the product of the following expression:

$\sqrt [3] {5} * \sqrt {2}$

By definition of properties of powers and roots we have:

$\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}$

We rewrite the expression using the lowest common index of 6, then:

$5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =$

We rewrite the terms in an equivalent way:

$5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =$

We rewrite the expression using the property mentioned:

$\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =$

We combine using the product rule for radicals:

$\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}$

So:

$\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}$

ANswer:

Option b

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2 years ago

The system of equations y=-2x+3 and y= x is graphed.What is the solution to the system of equations?

Evgen [1.6K]

Answer:

(1,1) x=1 y=1

Step-by-step explanation:

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2 years ago

Need help ASAP !!!!!!!

Anestetic [448]

First we distribute $\frac{1}{5}$ into $n$ and $-\frac{1}{7}$ .

$\frac{1}{5} * n = \frac{1}{5} n$
$\frac{1}{5} * -\frac{1}{7} = - \frac{1}{35}$

That makes the left side of the equation

$\frac{1}{5} n - \frac{1}{35} = \frac{1}{6} n$

Now we subtract $\frac{1}{5}n$ from $\frac{1}{6} n$ , which makes $\frac{1}{30}$

Now the equation is

$-\frac{1}{35} = -\frac{1}{30n}$

Our goal is to isolate $n$ , so we both sides by 30

$30* -\frac{1}{35} = - \frac{1}{30}n * 30$

That will make the equation

$- \frac{30}{35} = -n$

We multiply -1 on both sides of the equation:

$\frac{30}{35} = n$

Finally we simplify $\frac{30}{35}$ , which makes $\frac{6}{7}$

So the answer is $n = \frac{6}{7}$

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3 years ago