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3 years ago

Can someone explain interval notations? Also, How do you figure them out?

1 answer:

8 0

A notation for representing an interval as a pair of numbers. The numbers are the endpoints of the interval. Parentheses and/or brackets are used to show whether the endpoints are excluded or included.

For example, [3, 8) is the interval of real numbers between 3 and 8, including 3 and excluding 8.

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Semeet uses 0.4 gallon of gasoline each hour moving lawns. how much gas does she use in 4.2 hours

laiz [17]

Answer:

I think the answer is 1 gallon of gas

Step-by-step explanation:

8 0

3 years ago

Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

Find the median of the data in the box plot below.

Bumek [7]

Answer:

Median = 6.5 or 6 1/2

HOPE THIS HELPED! HAVE A GREAT DAY! :)

5 0

4 years ago

Help meeeee!!!!!! Please

Over [174]

Answer:

-1/11

Step-by-step explanation:

if this is one of the answer choices.

6 0

4 years ago

Dan has 3 ⅔ cups of milk. If he used ¼ of the milk for his breakfast, how much milk does Dan have left?

riadik2000 [5.3K]

There would be 3 2/12 left.

2/3 x 1/4 = 2/12

Hope this helps!

Sorryyyy :C

6 0

3 years ago

Read 2 more answers