Define a variable and write an expression to represent the following phrase:

Mathematics

1 answer:

ryzh [129]3 years ago

6 0

Answer:

x - 7 = age of whatever you are finding the age of

Step-by-step explanation:

seven years younger implies that you are taking away so we minus it from our variable, Tates age is the variable since it does not tell us his/her age in the statement given.

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Parking at a university has become a problem. University administrators are interested in determining the average time it takes

Vikentia [17]

Answer:

<h2>In this particular case,the target population of interest to the university administration constitutes the university students.</h2>

Step-by-step explanation:

The university administration is interested to conduct a statistical study to identify the average or mean time taken by the students to find a vacant parking spot.
Therefore,the research topic here is the average time taken by the university students to find parking spot. The administrator collects an inconspicuous sample of 240 samples from the target population of the study,which is the overall student population of the university.
The sample collected by the university administration is used to observe the average or mean parking time by the university students.

6 0

3 years ago

For a function p(x)= x^2-9, what is the inverse function for the domain [0, infinity\

kkurt [141]

An inverse function is a function that reverses another function, so we have a function called:

$p(x)$

Then, the inverse function will be as follows:

$p^{-1}(x)$

Given that $y = p(x)$ , we need to isolate x in terms of y:

$y = x^{2} -9$
∴ $y+9 = x^{2}$

So:

$x=+\sqrt{y+9}$ and $x=-\sqrt{y+9}$

therefore, exchanging variables x and y:

$y=+\sqrt{x+9}$ and $y=-\sqrt{x+9}$
$p^{-1}(x)=+\sqrt{x+9}$ and $p^{-1}(x)=-\sqrt{x+9}$

Which are the figures shown below.