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3 years ago

Please help

Mathematics

2 answers:

alexandr402 [8]3 years ago

3 0

$\bf 3\sqrt[3]{2a} -6\sqrt[3]{2a}\qquad \stackrel{add ing~like-terms}{\implies }\qquad -3\sqrt[3]{2a}$

Grace [21]3 years ago

3 0

Answer:

$-3\sqrt[3]{2a}$

Step-by-step explanation:

We have been given a radical expression $3\sqrt[3]{2a} -6\sqrt[3]{2a}$ and we are asked to write our given expression in simplest form.

Using exponent property $\sqrt[n]{x}=x^{\frac{1}{n}$ we can write our given expression as:

$3*(2a)^{\frac{1}{3}}-6*(2a)^{\frac{1}{3}}$

Since we can add or subtract variables with same powers and we have like bases and like exponents for our given expression, so we can subtract $6*(2a)^{\frac{1}{3}}$ from $3*(2a)^{\frac{1}{3}}$

$-3(2a)^{\frac{1}{3}}$

Using exponent property $x^{\frac{1}{n}=\sqrt[n]{x}$ we will get,

$-3\sqrt[3]{2a}$

Therefore, our given radical expression simplifies to $-3\sqrt[3]{2a}$ .

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frutty [35]

Answer:

a) 5/9

b) 7

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Step-by-step explanation:

For a)

One of the rules for logs is that if there is a logarithm subtracted by a logarithm and they have the same base, it is the same as the log with the same base and the arguments are divided:

$log_{x}z -log_{x} y$ = $log_{x} \frac{z}{y}$

so for this problem, they have the same base, so you can use this rule:

$log_{4} 5-log_{4}9 = log_{4}\frac{5}{9}$

For b)

This is very similar, except instead of dividing the arguments, you want to multiply them.

So this is kind of saying "8 multiplied by x equals 56"

which is 7

For c)

If the argument has its own exponent, it can be brought to the front of the log like so:

$log_{10}x^{y} = ylog_{10}x$

This one is a bit tricky because you have to actually set 32 into an exponent form first.

$32 = 2^{5}$

Then we can bring that 5 in front of the logarithm

$log_{6}2^{5} = 5log_{6}2$

So the answer is 5

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2 years ago

Find the real solutions of the equation by graphing. x^3-4x^2-20x=-48The real solutions of the equation are _____.

AnnZ [28]

Given the following equation:

$x^3-4x^2-20x=-48$

We will find the real solutions to the equation by graphing.

We will rewrite the given equation as follows:

$x^3-4x^2-20x+48=0$

The graph of the function will be as shown in the following figure:

As shown the function has 3 real solutions which are the x-intercepts

So, the answer will be:

$x=-4,2,6$

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1 year ago

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emmainna [20.7K]

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3 years ago

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JulsSmile [24]

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Step-by-step explanation:

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2 years ago

Read 2 more answers

3) Calculate the area of the entire triangle below. Show your work *<br><br> 22<br> 31<br> 8

dalvyx [7]

Answer:

a = 1/2 (b) (h)

Step-by-step explanation:

Use Pythagorean theorem for sub triangle on the left: 8^2 + h^2 = 22^2

Use Pythagorean again for sub triangle on the right: x^2 + h^2= 31^2

Find your base: 8+x=b

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3 years ago