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3 years ago

What are the values of x in the equation x(x-6)=4(x+6)?

Mathematics

1 answer:

Kitty [74]3 years ago

5 0

$x(x-6)=4(x+6)\\
x^2-6x=4x+24\\
x^2-10x-24=0\\
x^2+2x-12x-24=0\\
x(x+2)-12(x+2)=0\\
(x+2)(x-12)=0\\
x=-2 \vee x=12$

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A researcher wishes to estimate, with 9090% confidence, the proportion of adults who have high-speed Internet access. Her es

Sunny_sXe [5.5K]

Answer: a) Required minimum sample size= 219

b) Required minimum sample size= 271

Step-by-step explanation:

As per given , we have

Margin of error : E= 5% =0.05

Critical z-value for 90% confidence interval : $z_{\alpha/2}=1.645$

a) Prior estimate of true proportion: p=28%=0.28

Formula to find the sample size :-

$n=p(1-p)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.28(1-0.28)(\dfrac{1.645}{0.05})^2\\\\=218.213856\approx219$

Required minimum sample size= 219

b) If no estimate of true proportion is given , then we assume p= 0.5

Formula to find the sample size :-

$n=0.5(1-0.5)(\dfrac{z_{\alpha/2}}{E})^2\\\\=0.25(\dfrac{1.645}{0.05})^2\\\\=270.6025\approx271$

Required minimum sample size= 271

8 0

2 years ago

Find x so that l || m. Show your work.

Hatshy [7]

Hello,

Answer:

x = 13

Step-by-step explanation:

7x + 5 + 5x + 19 = 180

⇔ 12x + 24 = 180

⇔ 12x = 180 - 24

⇔ 12x = 156

⇔ x = 156/12

⇔ x = 13

6 0

1 year ago

Gina wants to make

gavmur [86]

Answer:

6.75 pounds

Step-by-step explanation:

This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.

$4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x$

In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.

* stands for multiplication

From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.

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3 years ago

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Mice21 [21]

Answer:

Step-by-step explanation:

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3 years ago

I need help ASAP.<br><br> 3+2-(6-(1+1)

beks73 [17]

Answer:

Step-by-step explanation:

3+2-(6-(1+1)

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3 years ago

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