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4 years ago

Mind helping someone out?

Mathematics

1 answer:

anygoal [31]4 years ago

3 0

$\bf 2a^3b^2\sqrt[3]{12b}\implies 2a^3b^2\sqrt[3]{12b^1}\implies \sqrt[3]{(2)^3(a^3)^3(b^2)^3~~~~12b^1}
\\\\\\
\sqrt[3]{2^3a^{3\cdot 3}b^{2\cdot 3}~~~~12b^1}\implies \sqrt[3]{8a^9b^6~~~~12b^1}\implies \sqrt[3]{(8)(12)a^9b^6b^1}
\\\\\\
\sqrt[3]{96a^9b^{6+1}}\implies \sqrt[3]{96a^9b^7}$

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How do I solve the following system of equations? <br>-5x-3y=7<br>-3x-4y=2

garri49 [273]

Answer:

(-2, 1)

Step-by-step explanation:

Systems of equations can be solved using different methods. For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:

-3(-5x - 3y = 7) or 15x + 9y = -21

5(-3x - 4y = 2) or <u>-15x -20y = 10</u>

-11y = -11

y = 1

Solve for x: -5x - 3 = 7

Add 3 to both sides: -5x -3 + 3 = 7 + 3 or -5x = 10

Solve for x: x = -2

(-2, 1)

6 0

3 years ago

Find the equation of the line passing through the point (4,−1) that is parallel to the line 2x−3y=9.

motikmotik

Hey there!

Line passes through (4, -1) & is parallel to 2x -3y=9

Let's start off by identifying what our slope is. In the slope-intercept form y=mx+b, we know that "m" is our slope.

The given equation needs to be converted into slope-intercept form and we can do this by getting y onto its own side of the equal sign.

Start off by subtracting 2x from both sides.

-3y = -2x + 9

Then, divide both sides by -3.

y = (-2x + 9)/-3

Simplify.

y = 2/3x - 3

"M" is simply a place mat so if we look at our given line, the "m" value is 2/3. Therefore, our slope is 2/3.

We should also note that we're looking for a line that's parallel to the given one. This means that our new line has the same slope as our given line. Therefore, our new line has a slope of 2/3.

Now, we use point-slope form ( y-y₁=m(x-x₁) ) to complete our task of finding a line that passes through (4, -1). Our new slope is 2/3 & it passes through (4, -1).

y-y₁=m(x-x₁)

Let's start by plugging in 2/3 for m (our new slope), 4 for x1 and -1 for y1.

y - (-1) = 2/3(x - 4)

Simplify.

y + 1 = 2/3 + 8/3

Simplify by subtracting 1 from both sides.

y = 2/3x + 8/3 - 1

Simplify.

y = 2/3x + 5/3

~Hope I helped!~

7 0

4 years ago

Ab = 50, a^2 = 100, b^2 = 25; (a-b)^2 = ?

Blababa [14]

The answer would be:

( ab + 50 ) • ( ab - 50 )
--------------------------------
25b^2

8 0

3 years ago

Read 2 more answers

A news station would like to conduct an exit poll to determine the likelihood that a highly debated amendment will receive enoug

vladimir1956 [14]

Answer:

The expression is $n = (\frac{1.645*0.5}{0.03})^2$

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.