Answer:
x = 31, x = 19
Step-by-step explanation:
![(x-25)^2=36\\\sqrt{(x-25)^2}=\sqrt{36}\\x-25=6 or -6\\\\x-25=6\\x=31\\\\x-25=-6\\x=19](https://tex.z-dn.net/?f=%28x-25%29%5E2%3D36%5C%5C%5Csqrt%7B%28x-25%29%5E2%7D%3D%5Csqrt%7B36%7D%5C%5Cx-25%3D6%20or%20-6%5C%5C%5C%5Cx-25%3D6%5C%5Cx%3D31%5C%5C%5C%5Cx-25%3D-6%5C%5Cx%3D19)
Answer:
282 hr <======= see below
Step-by-step explanation:
Distance / rate = time
2.4 x 10^9 mi / 85 m/hr = 28235294 hr
You must have left the power of 10 off of your speed
probably should be 8.5 x 10^6 perhaps? then answer is 282
<h3>If speed was 8.5 x 10^5
then answer becomes ~ 2820 </h3>
we know that
the algebraic expression is equal to
![\frac{8}{(3+m)}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B%283%2Bm%29%7D)
therefore
<u>the answer is</u>
![\frac{8}{(3+m)}](https://tex.z-dn.net/?f=%5Cfrac%7B8%7D%7B%283%2Bm%29%7D)
<h2>
Answer:</h2>
A. It is a many-to-one function.
<h2>
Step-by-step explanation:</h2>
Hello! It will be a pleasure to help to figure out what's the correct answer to this problem. First of all, we have the following function:
![f(x) = 2x^3 + 2x^2-x](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%5E3%20%2B%202x%5E2-x)
When plotting this function, we get the red graph of the function shown below. So let's solve this as follows:
<h3>A. It is a many-to-one function.</h3>
True
A function is said to be many-to-one there are values of the dependent variable (y-values) that corresponds to more than one value of the independent variable (x-values). To test this, we need to use the Horizontal Line Test. So let's take the horizontal line
, and you can see from the first figure below that
is mapped onto
. so this is a many-to-one function.
<h3>B. It is a one-to-one function.</h3><h3>False</h3>
Since this is a many-to-one function, it can't be a one-to-one function.
<h3>C. It is not a function.</h3>
False
Indeed, this is a function
<h3>D. It fails the vertical line test.</h3>
False
It passes the vertical line test because any vertical line can intersect the graph of the function at most once. An example of this is shown in the second figure below.
Answer:
Allison worked 6 hours lifeguarding and 3 hours washing cars.
Step-by-step explanation:
Let
Number of hours Allison worked lifeguarding last week = x
Number of hours Allison worked washing cars last week = y
1. Last week Allison worked 3 more hours lifeguarding than hours washing cars hours, then
![x-y=3](https://tex.z-dn.net/?f=x-y%3D3)
<u>Lifeguarding:</u>
$12 per hour
$12x in x hours.
<u>Washing cars:</u>
$8 pere hour
$8y in y hours.
2. Allison earned a total of $96, hence
![12x+8y=96](https://tex.z-dn.net/?f=12x%2B8y%3D96)
You get the system of two equations:
![\left\{\begin{array}{l}x-y=3\\ \\12x+8y=96\end{array}\right.](https://tex.z-dn.net/?f=%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bl%7Dx-y%3D3%5C%5C%20%5C%5C12x%2B8y%3D96%5Cend%7Barray%7D%5Cright.)
Plot the graphs of these two equations (see attached diagram). These line intersect at point (6,3), so Allison worked 6 hours lifeguarding and 3 hours washing cars.