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3 years ago

The range of the following relation R {(3, −2), (1, 2), (−1, −4), (−1, 2)} is

1 answer:

5 0

range is all the y values.
Therefore, the range is : {-4,-2,2}
all the y values listed, however, if u have repeating y values, u only have to list it once.

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Over what interval is the function differentiable? Y=3/2(x-1)

jolli1 [7]

Answer-

The interval where the function is diffrentiable is

$[-\infty,1)\ \bigcup\ (1,\infty]$

Solution-

The given expression is,

$y=\dfrac{3}{2(x-1)}$

The function will be differentiable where it is continuous and it will not be differentiable, where the function is not continuous.

The function continuous everywhere except at x = 1, because

$\Rightarrow 2(x-1)=0\\\\\Rightarrow x-1=0\\\\\Rightarrow x=1$

at x = 1, its limit does not exist.

Therefore, apart from x=1, this function is differentiable everywhere. The interval will be

$[-\infty,1)\ \bigcup\ (1,\infty]$

3 0

3 years ago

Which of the following is a correct interpretation of the expression -7- (-11)?

Brilliant_brown [7]

Answer:

B. Start at -7 on the number line and move 11 to the right.

Step-by-step explanation:

Given:

- 7 - (-11) expression

We can add or remove only positive numbers on the number line to get it correct, so we need to open the parenthesis. When evaluated we get:

-7- (-11) = - 7 + 11 = 4

Correct interpretation of of this expression is:

Start at -7 and add 11, thus move 11 points to the right, to get 4 as final point.

Correct choice is:

B. Start at -7 on the number line and move 11 to the right.

6 0

3 years ago

The difference between 12 and ten times a number is -28

aev [14]

Answer:

Step-by-step explanation:

$n-\text{the number}\\\\12-10n=-28\qquad|\text{subtract 12 from both sides}\\\\12-12-10n=-28-12\\\\-10n=-40\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-10n}{-10}=\dfrac{-40}{-10}\\\\\boxed{n=4}$

8 0

3 years ago

Maria made some purchses at the Sunflower Market. She bought strawberries for $3.50, carrots for $2.25 and a bouquet of flowers

Eduardwww [97]

Answer:

$13.25

Step-by-step explanation:

First you add everything up to get you to $15.70, then the 20% is changed to .2 which you then multiply 15.70 by .2 giving you 3.14. You then take 15.70 minus 3.14 which then gets you to 12.56. Then you take the tax of 5.5% and times $12.56 by it, giving you 69 cents, as your tax. Add those together to get 13.25, and then your finished.

6 0

3 years ago

Read 2 more answers

A biologist tags ducks living at a pond for her research. She uses 14 blue tags, 19 red tags, 27 white tags, and 6 yellow tags o

valina [46]

B is the correct awnser i soppose i am truing to help so i rlly am wishing you the best!

3 0

3 years ago