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3 years ago

Write an absolute value function that shifted 2 units right. HELPPPP

Mathematics

1 answer:

iVinArrow [24]3 years ago

4 0

Answer: (a)

Step-by-step explanation:

Suppose the original function is $y=\left | x \right |$

To shift it 2 units right, replace x by x-2 such that

$\Rightarrow x-2=0\\\Rightarrow x=2$

So, the function becomes $y=\left | x -2\right |$

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A 10 2/3 inch long pipe is cut into 8 equal length pieces, how long is each piece

storchak [24]

Answer:

$\frac{4}{3}$ inches

Step-by-step explanation:

The total length of pipe is 10 2/3rd inches

It is cut into 8 equal pieces

We need to divide total length by 8 to get length of each piece. First, we have to convert mixed number (total length) to improper fraction by using formula shown below:

$a\frac{b}{c}=\frac{(a*c)+b}{c}$

So,

$10\frac{2}{3}=\frac{32}{3}$

Each piece length is:

$\frac{\frac{32}{3}}{8}\\=\frac{32}{3}*\frac{1}{8}\\=\frac{32}{24}\\=\frac{4}{3}$

So, each piece is $\frac{4}{3}$ inches

6 0

3 years ago

62 is 10 times larger than what?

NARA [144]

To find a number 10 times smaller than 62 simply move the decimal point one place to the left.

The decimal point in 62 is at the end of the number. 62. becomes 6.2 if we move the decimal one place back.

5 0

2 years ago

Read 2 more answers

The function y = x 2 - 10x + 31 has a ____

katrin [286]

Answer:

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

Step-by-step explanation:

In order to find the maxima or minima of a function, we have to take the first derivative and then put it equal to zero to find the critical values.

Given function is:

$f(x) = x^2-10x+31$

Taking first derivative

$f'(x) = 2x-10$

Now the first derivative has to be put equal to zero to find the critical value

$2x-10 = 0\\2x = 10\\x = \frac{10}{2} = 5$

The function has only one critical value which is 5.

Taking 2nd derivative

$f''(x) =2$

$f''(5) = 2$

As the value of 2nd derivative is positive for the critical value 5, this means that the function has a minimum value at x = 5

The value can be found out by putting x=5 in the function

$f(5) = (5)^2-10(5)+31\\=25-50+31\\=6$

Hence,

<u>The function y = x 2 - 10x + 31 has a minimum value of 6</u>

Hence,

Option B. minimum is correct for the first blank

Option C. 6 is correct for second blank.

8 0

3 years ago

Whats 9x9-18+18-20+2?

zhuklara [117]

Answer:

9x^9-18

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Construct a sample (with at least two different values in the set) of 3 measurements whose variance is negative. If this is not

Bond [772]

This is not possible. Why not? Because the smallest the variance can get is 0.

Recall that 's' represents the standard deviation, so s^2 is the variance. It basically measures how spread out the values are. The higher the variance, the more spread out the data. You can think of it as "average distance from the mean". If the variance is 0, then all of the values are at the same point. So you could have a list like {2,2,2,2,2} which has variance 0. We cannot get any smaller variance than that. If your teacher insists all the values in the list are different, then the variance will be greater than 0.

5 0

3 years ago