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2 years ago

What is the inverse of the function f(x) = x + 2?

Mathematics

1 answer:

nadya68 [22]2 years ago

4 0

Answer: $h(x)=x-2$

Step-by-step explanation:

To find the inverse of the function $f(x) = x + 2$ , the first step is to replace f(x) with "y":

$f(x) =y= x + 2\\\\ y = x + 2$

The second step is to solve for the variable "x":

$x=y-2$

The third step is to interchange the variables, then:

$y=x-2$

Finally, let be h(x) the inverse of the function f(x). Then, you can replace "y" with h(x). Therefore, this is:

$h(x)=x-2$

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The histogram to the right represents the weights (in pounds) of members of a certain high-school math team. How many team mem

____ [38]

Answer:

Total member = a+b+c+d+e+f+g=5+4+2+0+5+0+4=20 member

Step-by-step explanation:

Let suppose the attached histogram

a) Total members whose weight 110 = 5

b) Total members whose weight 120 = 4

c) Total members whose weight 130 = 2

d) Total members whose weight 140 = 0

e) Total members whose weight 150 = 5

f) Total members whose weight 160 = 0

g) Total members whose weight 170 = 4

Total member = a+b+c+d+e+f+g=5+4+2+0+5+0+4=20 member

A histogram is a statistical graphical representation of data with the help of bars with different heights.

6 0

2 years ago

At a restaurant you only have $20 to spend on dinner. In addition to the cost of the meal you must pay a 5% sales tax and leave

andriy [413]

If you spend $10 on dinner tax is $5 so $15. Then a 15% tip is $2.25 plus $15 is $17.25 spent all together. That leaves you with $2.75 left.

4 0

2 years ago

The following data set represents the age of

Julli [10]

$\huge\text{Hey there!}$

$\huge\textsf{Breaking the meaning down in simpler terms}$
$\huge\textbf{Median:}\\\large\text{is understood to be \bf the number in the center (also known as}\\\large\textbf{the middle number)}$

$\huge\textbf{Mean:}\\\large\text{is understood to be the \bf total.}$

$\huge\textsf{Formulas for each term}$

$\huge\text{Median:}\\\large\textsf{To find the median you have to put each of your numbers in your data}\\\large\textsf{set from LEAST (smallest) to GREATEST (biggest). }$

$\huge\text{Mean:}\\\mathsf{\dfrac{sum\ of\ all\ terms}{number\ of\ terms}= mean}$

$\huge\textbf{SOLVING FOR THE QUESTION}$

$\huge\textsf{Median:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textbf{Conversion: }\large\text{27, 33, 38, 41, 42, 52, 64, 68, 72}\\\\\large\textsf{Make sure it is even between both sides of the data plot.}\\\\\large\text{It seems to even on BOTH sides of \boxed{\textsf{14}} so it could possibly be your}\\\large\text{median.}$

$\huge\textsf{Mean:}\\\\\large\textbf{Original data set: }\large\text{27, 52, 64, 41, 33, 38, 42, 60, 72, 68}\\\\\large\textsf{Your equation: }\mathsf{\dfrac{27 + 52 + 64 + 41 + 33 + 38 + 42 + 60 +72 + 68}{10}}\\\\\mathsf{\dfrac{79 + 64 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{143 + 41 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{184 + 33 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{217 + 38 + 42 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{255 + 42 + 60 + 72 + 68}{10}}$

$\mathsf{\dfrac{297 + 60 + 72 + 68}{10}}\\\\\mathsf{\dfrac{357 + 72 + 68}{10}}\\\\\mathsf{\dfrac{429 + 68}{10}}\\\\\mathsf{\dfrac{497}{10}}\\\\\mathsf{\approx 49.70}\\\\\large\text{From the looks of it \boxed{\rm{\dfrac{497}{10}}}\ or \boxed{\text{49.70}} could possibly be your mean.}$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

<h3>
~ $\frak{Amphitrite1040:)}$ </h3>

8 0

1 year ago

Please help it due tomorrow and I don't know what to do :)

Anit [1.1K]

The answer should be 5

8 0

2 years ago

Read 2 more answers

A rectangular patio has an area of (3x – 6) square units. Factor 3x – 6 to find possible dimensions of the patio.

Oduvanchick [21]

Answer:

$w=3,\ l=x-2$

$l=3,\ w=x-2$

Step-by-step explanation:

The area of a rectangle is given by the product of its length and width.

$A=l.w$

If we knew the value of the area, we would not be able to know any of its dimensions without being given other piece of information. We can only make assumptions.

The question states the area of the rectangular patio is 3x-6 units, i.e.

$l.w=3x-6$

We know the product of two quantities results 3x-6, so we can factor that expression to have a possible combination between l and w. Factoring by 3:

$l.w=3(x-2)$

We can say that

$l=3,\ w=x-2$

It can be said also

$w=3,\ l=x-2$

These are not the only possible combinations, but they are as simple as possible

6 0

2 years ago