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3 years ago

Suppose f (x)=x2 find the graph of f (x+2)

Mathematics

1 answer:

DanielleElmas [232]3 years ago

4 0

To find a value for F, plug in numbers for x. Then graph those points.

Example: F(3)=3(2)

F(3)=6

Find multiple points like that and graph them

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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day.

valina [46]

Answer:

A sample of 179 is needed.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1 - 0.85}{2} = 0.075$

Now, we have to find z in the Ztable as such z has a pvalue of $1 - \alpha$ .

That is z with a pvalue of $1 - 0.075 = 0.925$ , so Z = 1.44.

Now, find the margin of error M as such

$M = z\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

A previous study found that for an average family the variance is 1.69 gallon?

This means that $\sigma = \sqrt{1.69} = 1.3$

If they are using a 85% level of confidence, how large of a sample is required to estimate the mean usage of water?

A sample of n is needed, and n is found for M = 0.14. So

$M = z\frac{\sigma}{\sqrt{n}}$

$0.14 = 1.44\frac{1.3}{\sqrt{n}}$

$0.14\sqrt{n} = 1.44*1.3$

$\sqrt{n} = \frac{1.44*1.3}{0.14}$

$(\sqrt{n})^2 = (\frac{1.44*1.3}{0.14})^2$

$n = 178.8$

Rounding up

A sample of 179 is needed.

7 0

3 years ago

Evaluate the expression. –5g – 6 for g = –2

Artist 52 [7]

Answer:

Step-by-step explanation:

Given that:

= –5g – 6

put g = -2

= -5(-2) - 6

= 10 - 6

= 4

i hope it will help you!

6 0

3 years ago

Read 2 more answers

What is the value of x in the equation (StartFraction one-half EndFractionx + 12) = StartFraction one-half EndFraction(StartFrac

anastassius [24]

Answer:

$x =-24$

Step-by-step explanation:

Given

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Required

Solve for x

$(\frac{2}{3})(\frac{1}{2}x + 12) = (\frac{1}{2})(\frac{1}{3}x + 14) - 3$

Open all brackets

$\frac{2}{3}*\frac{1}{2}x + \frac{2}{3}*12 = \frac{1}{2}*\frac{1}{3}x + \frac{1}{2}*14 - 3$

$\frac{2 * 1}{3 *2}x + \frac{2 * 12}{3}= \frac{1 * 1}{2 * 3}x + \frac{1 * 14}{2} - 3$

$\frac{1}{3}x + \frac{24}{3}= \frac{1}{6}x + \frac{14}{2} - 3$

$\frac{1}{3}x +8= \frac{1}{6}x + 7 - 3$

Collect like terms

$\frac{1}{3}x - \frac{1}{6}x =7 - 3 -8$

$\frac{1}{3}x - \frac{1}{6}x =-4$

Solve fraction

$\frac{2-1}{6}x =-4$

$\frac{1}{6}x =-4$

Multiply both sides by 6

$6 * \frac{1}{6}x =-4 * 6$

$x =-4 * 6$

$x =-24$

8 0

3 years ago

Would lengths of 15 inches, 10 inches and 6 inches form a triangle

Firdavs [7]

Answer:

Yes

Step-by-step explanation:

8 0

3 years ago

11) x – 3y = 3<br> How do you graph it?

kvv77 [185]

Hey!

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x – 3y = 3 is written in standard form. We can write in the slope-intercept form.

x - 3y = 3

x - 3y - x = 3 - x

3y = 3 - x

3y/3 = 3/3 - 3/x

y = 1 - 3/x

y = 1/3x - 1

Now, we know that the y-intercept is -1 and the slope is 1/3

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Hence, the answer is $\Large\boxed{\mathsf{In~picture}}$

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Hope This Helped! Good Luck!

8 0

4 years ago