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2 years ago

Solve for x. -3(3x+3)= -2x+5

Mathematics

2 answers:

Nataliya [291]2 years ago

8 0

-9x-9=-2x+5

Then add 9+14

-9x=-2x+14

Then add 2+-9

-7x=14

So x=-2

notsponge [240]2 years ago

4 0

Answer:

x = -2

Step-by-step explanation:

So we are given the equation -3(3x + 3) = -2x + 5 and we are solving for x. We will have to try to get the equation into the form x = _. That would be our answer.

-3(3x + 3) = -2x + 5

Distribute the -3 on the left side.

-9x - 9 = -2x + 5

Add 2x to both sides to get rid of the -2x on the right side.

-9x - 9 + 2x = 5

Simplify.

-7x - 9 = 5

Add 9 to both sides to get rid of the - 9 on the left side.

-7x = 5 + 9

Simplify.

-7x = 14

Divide both sides by -7 to get rid of the coefficient of -7 on the left side.

x = 14 ÷ (-7)

Simplify.

x = -2

The answer is x = -2.

I hope you find my answer helpful. :)

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2 years ago

News article reports that "Americans have differing views on two potentially inconvenient and invasive practices that airports c

OverLord2011 [107]

Answer:

1) p1=0.83

2) p2=0.81

3) Option B

4) p=0.82

5) s=0.03

6) z=0.67

7) P=0.50

8) Do not reject H0

Step-by-step explanation:

1) The proportion of Republicans who think the full-body scans should be applied in airports is equal to the ratio between the republicans that think it should over the total Republicans in the poll:

$p=X/n=258/311=0.83$

2) The proportion of Democrats who think the full-body scans should be applied in airports is equal to:

$p=X/n=294/363=0.81$

3) As we want to know if there is a difference in the proportions calculated, not if one is higher or lower than the other, the correct option is B:

$H_0:p_1-p_2=0\\\\H_a:p_1-p_2\neq0$

4) The pooled estimate of a proportion is the average of both proportions:

$\bar{p}=\frac{p_1+p_2}{2}= \frac{0.83+0.81}{2}=0.82$

5) The standard error can be calculated as:

$s=\sqrt{\frac{\bar{p}(1-\bar{p})}{n_1} +\frac{\bar{p}(1-\bar{p})}{n_2}} \\\\s=\sqrt{\frac{0.82*0.18}{311} +\frac{0.82*0.18}{363}} \\\\s=\sqrt{0.00047+0.00041} =\sqrt{0.00088}=0.03$

6) The z-statistic can be calculated as:

$z=\frac{p_1-p_2}{s}=\frac{0.83-0.81}{0.03}=\frac{0.02}{0.03}=0.67$

7) The P-value for z=0.67 is P=0.50 (from the standard normal distribution table).

$2P(Z>|z|)=0.50286$

8) If the significance level is 0.01, the P-value is bigger than the significance level. The effect is not significanct. The null hypothesis is not rejected.

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8 0

2 years ago

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svlad2 [7]

Answer: Your answer is c

Step-by-step explanation: The first thing you can do is add the two equations together to cancel out x

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Plug 6 into the first equation and solve for x.

5x-2(6)=3

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5x=15, divide 5 and get the answer

x=3

5 0

2 years ago