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3 years ago

What is 8(2x-3)-6x if x = 3

1 answer:

4 0

8(2x - 3)-6x

First, replace all the x's with 3s. Simplfy 2 × 3 to 6. / Your problem should look like: 8 × (6 - 3) - 6 × 3
Second, simplify 6 - 3 to 3. / Your problem should look like: 8 × 3 - 6 × 3
Third, simplify 8 × 3 to 24. / Your problem should look like: 24 - 6 × 3
Fourth, simplify 6 × 3 to 18. / Your problem should look like: 24 - 18
Fifth, simplify 24 - 18 to get 6. / Your problem should look like: 6

Answer: 6

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What is the simplified expression for,

Nostrana [21]

Here are a few rules you need to know for this equation:

Multiplying exponents of the same base: $x^m\times x^n=x^{m+n}$
Dividing exponents of the same base: $\frac{x^m}{x^n}=x^{m-n}$
Turning a negative exponent to a positive one: $x^{-m}=\frac{1}{x^m};\frac{1}{x^{-m}}=x^m$

So this is our algebraic expression: $\frac{3^{-4}\times 2^3\times 3^2}{2^4\times 3^{-3}}$

Firstly, multiply 3^-4 and 3^2: $\frac{3^{-4+2}\times 2^3}{2^4\times 3^{-3}}=\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}$

Next, divide:

$\frac{3^{-2}\times 2^3}{2^4\times 3^{-3}}=3^{-2-(-3)}2^{3-4}=3^12^{-1}$

Next, turn the negative exponent into a positive one: $3^12^{-1}= \frac{3}{2}$

<u>Your final answer is 3/2, or 1.5.</u>

6 0

3 years ago

The value in dollars,v(x),of a certain truck after x years is represented by the equation v(x)=32,500(0.92)^x.To the nearest dol

Vika [28.1K]

Answer: $2193

Step-by-step explanation:

v(x) = 32,500 $(.92)^{x}$

Plug two and three in for x

v(2) = 32,500 $(.92)^{2}$

v(2) = 32,500(.8464)

v(2) = 27,500

v(3) = 32,500 $(.92)^{3}$

v(3) = 32,500(.778688)

v(3) = 25,307.36

Subtract v(3) from v(2)

27,500 - 25,307.36 = 2192.64

Round to the nearest dollar to get $2193

7 0

3 years ago

Which expression is equivalent to 48 + 54?

Debora [2.8K]

48 + 54 = 102

102 / (8+9) = 6

48 + 54 = 6 x (8+9)

6 can be written on the blank line to make the expressions equivalent.

can i please get brainlist

6 0

2 years ago

Read 2 more answers

When finding the margin of error for the mean of a normally distributed population from a sample, what is Alpha, assuming a conf

MArishka [77]

The value of alpha is 0.26, assuming a confidence level of 74%.

<h3>What is the margin of error?</h3>

The significance level α is the probability of making the wrong decision when the null hypothesis is true.

Alpha levels which is also called as significance levels are used in hypothesis tests.

Given

When finding the margin of error for the mean of a normally distributed population from a sample.

The confidence interval = 74% = 0.74.

The value of the alpha is given by;

$\rm \alpha =1- Confidence \ interval$

Substitute all the values in the formula

$\rm \alpha =1- Confidence \ interval\\\\\alpha=1-0.74\\\\\alpha=0.26$

Hence, the value of alpha is 0.26, assuming a confidence level of 74%.

To know more about confidence interval click the link given below.

brainly.com/question/26725727

8 0

2 years ago

Solve 64^x = 16^x−1.

erica [24]

64^x=16^x-1====> Make the bases the same
4^3(x)=4^2(x-1)=> Solve for x by bringing down the exponent without the base.
3(x)=2(x-1)=====> Distribute
3x=2x-2======> Now solve for x
3x = 2x-2
-2x -2x
x=-2
Therefore x is negative two

7 0

2 years ago

Read 2 more answers