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Ira Lisetskai [31]
3 years ago
10

Expand and simplify 2(3x+4)-3(x-2)

Mathematics
2 answers:
Rina8888 [55]3 years ago
8 0
2(3x + 4) -3(x-2)

6x + 8 -3x + 6

Answer: 3x + 14
Lemur [1.5K]3 years ago
6 0
Open brackets
6x+8-3x+6
collect like terms
3x+14 is the answer
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If there is 54% increase on a $54 item, then how much is the new cost for next year? Round to the nearest penny.
Mariulka [41]

Answer: $83.16

Step-by-step explanation:

     This means that next year the item will cost 154% of what it is now.

154% / 100 = 1.54

$54 * 1.54 = $83.16

                    Next year the item will cost $83.16.

5 0
2 years ago
What is the slope perpendicular to y=-3
liraira [26]

check the picture below.


so, y = -3 is simply a horizontal line, as you see there, and any perpendicular line to that will be a vertical one, whose slope is undefined.

we can check by simply picking two points off the red line hmmm say (-2,2) and (-2, -2)


\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-2}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-2-2}{-2-(-2)}\implies \cfrac{-2-2}{-2+2}\implies \stackrel{und efined}{\cfrac{-4}{0}}

4 0
3 years ago
What is the length of FG?
kodGreya [7K]

Answer:

B. 4

Step-by-step explanation:

If Triangle ABC is congruent to Triangle EFG, then A = E, B = F, and G = C.

In this case, we want to find FG. BC is congruent to FG. Therefore, FG is 4 inches.

5 0
3 years ago
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
oksano4ka [1.4K]
7+x is the awnser

unless you meant to type “A number is more than 7” then it would be x>7
7 0
2 years ago
Read 2 more answers
The distribution of the amount of money in savings accounts for Florida State students has an average of 1,200 dollars and a sta
Anestetic [448]

Answer:

By the Central Limit Theorem, the sampling distribution of the sample mean amount of money in a savings account is approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Average of 1,200 dollars and a standard deviation of 900 dollars.

This means that \mu = 1200, \sigma = 900

Sample of 10.

This means that n = 10, s = \frac{900}{\sqrt{10}} = 284.6

The sampling distribution of the sample mean amount of money in a savings account is

By the Central Limit Theorem, approximately normal with mean of 1,200 dollars and standard deviation of 284.6 dollars.

7 0
3 years ago
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