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3 years ago

What is the range of the inverse of the given function? f(x)=√x-2

Mathematics

1 answer:

jarptica [38.1K]3 years ago

3 0

Answer:

all real nunbers

Step-by-step explanation:

when we exchange the place of x and y and solve for y we get the equation y=x^2 + 2

any number inserted in x will give a value y

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Which expression is equivalent to...

olga_2 [115]

Answer:

$8m^5$

Step-by-step explanation:

Well we can simplify the numerator, by multiplying the 4 by the 6 and the m^3 and m^4 (add the exponents, explained in one of my previous answers I think)

This gives us the fraction: $\frac{24m^7}{3m^2}$

We can now divide the m^7 by m^2 by subtracting the exponents, and the reason why this works, is you're simply cancelling out the m's, If we express this in expanded form we have the following fraction: $\frac{24 * m * m * m * m * m * m * m}{3 * m * m}$

Since there is two m's in the denominator and there is also two (more than two) m's in the numerator, we can cancel those two m's out, and we get the fraction:

$\frac{24 * m * m * m * m * m}{3}$ which can be simplified in exponent form as: $\frac{24m^5}{3}$ , now all we have to do is divide the 24 by the 3, to get 8

This gives us the answer: $8m^5$

6 0

2 years ago

A donut store has 11 different types of donuts. You can only buy a bag of 3 of them, where each donut has to be of a different t

MakcuM [25]

Answer:

$165$ .

Step-by-step explanation:

Since repetition isn't allowed, there would be $11$ choices for the first donut, $(11 - 1) = 10$ choices for the second donut, and $(11 - 2) = 9$ choices for the third donut. If the order in which donuts are placed in the bag matters, there would be $11 \times 10 \times 9$ unique ways to choose a bag of these donuts.

In practice, donuts in the bag are mixed, and the ordering of donuts doesn't matter. The same way of counting would then count every possible mix of three donuts type $3 \times 2 \times 1 = 6$ times.

For example, if a bag includes donut of type $x$ , $y$ , and $z$ , the count $11 \times 10 \times 9$ would include the following $3 \times 2 \times 1$ arrangements:

$xyz$ .
$xzy$ .
$yxz$ .
$yzx$ .
$zxy$ .
$zyx$ .

Thus, when the order of donuts in the bag doesn't matter, it would be necessary to divide the count $11 \times 10 \times 9$ by $3 \times 2 \times 1 = 6$ to find the actual number of donut combinations:

$\begin{aligned} \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}$ .

Using combinatorics notations, the answer to this question is the same as the number of ways to choose an unordered set of $3$ objects from a set of $11$ distinct objects:

$\begin{aligned}\begin{pmatrix}11 \\ 3\end{pmatrix} &= \frac{11 !}{(11 - 3)! \times 3 !} \\ &= \frac{11 !}{8 ! \times 3 !} \\ &= \frac{11 \times 10 \times 9}{3 \times 2 \times 1} = 165\end{aligned}$ .

5 0

2 years ago

Which rational number equals 0 point 3 with bar over 3? Question 2 options: 1) 1 over 5 2) 1 over 3 3) 3 over 10 4) 3 over 5

Vedmedyk [2.9K]

9514 1404 393

Answer:

2) 1/3

Step-by-step explanation:

The repeating decimal can be converted to a fraction by multiplying it by 10^n and subtracting the original value. n = number of repeating digits. This process cancels all of the repeating digits, so you can find the equivalent fraction.

$x=0.\overline{3}\\\\10x -x=3.\overline{3}-0.\overline{3}=3\\\\x=\dfrac{3}{9}\\\\0.\overline{3}=\dfrac{1}{3}$

_____

Your calculator can help you answer this:

1/5 = 0.2

1/3 = 0.333.... (repeating) . . . . the number you're looking for

3/10 = 0.3

3/5 = 0.6

7 0

3 years ago

A company conducted a survey to see wether its new toothpaste was more popular with children or adults. Of the children surveyed

Sholpan [36]

Answer:

Step-by-step explanation:

To find the percent of adults who use toothpaste, we divide the number of adults who use toothpaste by the total adults.

0.08/0.75

The answer is about 11 percent, so C is the true statement.

3 0

3 years ago

Read 2 more answers

List formulas for: Area of a triangle

Ede4ka [16]

The formula for the area of a triangle is the base times the height, divided by 2. Or in simple forms, bh/2

7 0

3 years ago