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OLga [1]
4 years ago
7

3. Evaluate each function for the given value.

Mathematics
1 answer:
ch4aika [34]4 years ago
5 0

Answer:

a. f(x) = 12

c. x = 2

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Can u add the pic and I’ll answer it

Step-by-step explanation:

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Convert the quadratic equation y = 2(x - 3)2 + 1 to standard form
nadya68 [22]

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4x-11

Step-by-step explanation:

6 0
3 years ago
When is the product of two integers less than or equal to both of the two factors
babunello [35]
The product of two integers less than or <span>equal to both of the two factors occurs when the numbers are zero and anything else</span>
3 0
3 years ago
Please answer the middle
alukav5142 [94]

Table-1 shows constant increase of X and Y values

Step-by-step explanation:

We are given two tables with X and Y values.

To find which table represent the constant increase of X and Y:

If there is constant increase of X and Y then, X and Y avlues belongs to equation of line.

Also, if three points lies on line then, slope of line made by three points must be same or equal.

Slope of line is given as s=\frac{Y2-Y1}{X2-X1}

For table 1:

The values of X and Y form points as A(3,4),B(5,6) and C(7.8)

For A(3,4) and B(5,6)

s=\frac{6-4}{5-3}

s=\frac{2}{2}

s=1

For C(7.8) and B(5,6)

s=\frac{6-8}{5-7}

s=\frac{-2}{-2}

s=1

Therefore, Table-1 shows constant increase of X and Y values

For table 2:

The values of X and Y form points as A(1,3),B(2,6) and C(3,10)

For A(1,3) and B(2,6)

s=\frac{6-3}{2-1}

s=\frac{3}{1}

s=3

ForC(3,10) and B(5,6)

s=\frac{6-10}{5-3}

s=\frac{-4}{-2}

s=2

Therefore, Table-1 does not shows constant increase of X and Y values

5 0
3 years ago
We intend to estimate the average driving time of a group of commuters. From a previous study, we believe that the average time
Umnica [9.8K]

Answer:

The minimum sample size required is 25 so that margin of error is no more than 3 minutes.  

Step-by-step explanation:

We are given the following in the question:

Mean, μ = 42 minutes

Standard Deviation, σ = 9 minutes.

We want to build a 90% confidence interval such that margin of error is no more than 3 minutes.

Formula for margin of error:

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}

z_{critical}\text{ at}~\alpha_{0.10} = 1.64

Putting values, we get.

z_{critical}\times \dfrac{\sigma}{\sqrt{n}}\leq 3\\\\1.64\times \dfrac{9}{\sqrt{n}}\leq 3\\\\\dfrac{1.64\times 9}{3}\leq \sqrt{n}\\\\4.92\leq \sqrt{n}\\\Rightarrow n\geq 24.2064\approx 25

Thus, the minimum sample size required is 25 so that margin of error is no more than 3 minutes.

7 0
3 years ago
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