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Harman [31]
3 years ago
9

If a function rule is 2x – 3, what is the output for the input 3?

Mathematics
2 answers:
anzhelika [568]3 years ago
6 0

Answer:

The function rule can be written as: f(x) = 2x-3

So, when  we input 3, we replace all of the x's for  3's and have: f(3) = 2(3)-3.

This simplifies to be: f(3) = 3, meaning that 3 is the output.

Hope this helps!

Alenkasestr [34]3 years ago
6 0

Answer:3

Step-by-step explanation:

The output value is y so set an equation at y=2x-3. Now x is the input value so plug in 3 for x. Two times three is 6 and then you have to subtract three from that. So the output value for an input of 3 is 3.

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Ainat [17]

Answer:

99/14

Step-by-step explanation:

(3.25 + 2/7) / ( 3/5 * 5/6)=(3.25+2/7) / (1/2)=(3.25+2/7)*2=(99/28)*2=99/14

8 0
3 years ago
Use the table to write a proportion.
Tanya [424]

Answer:

22

Step-by-step explanation:

7 0
3 years ago
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
Adele Garcia obtained a loan of 8,000$ at 12% interest for 24 months . The monthly payment is 367.80. after 15 payments the bala
Rama09 [41]

Answer:

6

Step-by-step explanation:


8 0
3 years ago
In centimeters, what is the unknown length in this right triangle
Ilya [14]

Answer:

11

Explanation:

(next time, it would be helpful to include a picture)

If you were on the same test as I was, than that means that the triangle you're looking for is the one below.

Using the Pythagorean Theorem,

a² + b² = c² is the same as c² - b² = a²

c = 61

61^2 =  61 X 61 = 3,721  

b = 60

60^2 = 60 X 60 =  3,600  

Next, we subtract:

3,721 - 3,600 = 121  

√121 = 11

(x = 11 cm)

so 11 is your answer

3 0
3 years ago
Read 2 more answers
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