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<u><em>Answer:</em></u>m(x) has the same domain as (m*n)(x)
<u><em>Explanation:</em></u><u>1- For m(x):</u>m(x) is a fraction. This means that the <u>denominator cannot be zero</u>, otherwise, the fraction would be undefined.
The denominator of m(x) would be zero at x = 1.
This means that the <u>domain of m(x) can be any real number except 1</u>
<u>2- For n(x):</u>The value of x in n(x) can be any number. This is because there is no value that would make n(x) undefined.
This means that the <u>domain of n(x) is all real numbers</u>
<u>3- For (m*n)(x):</u>(m*n)(x) = m(x) * n(x) = </span>

<span>
We can note that the product is also a fraction. This means that the <u>denominator cannot be zero</u>.
The denominator here will be zero at x = 1.
This means that the <u>domain of (m*n)(x) is all real numbers except 1</u>.
<u>
This is the same as the domain of m(x)</u>
Hope this helps :)</span>
Answer:
approximately 9 hours
Step-by-step explanation:
Just take three out of 60 untill you reach the closest thing to 32
a) The dimensions of original rectangle are length= 5 and width= 4.
b) The dimensions of new rectangle are length= 15 and width=8.
<u>Step-by-step explanation</u>:
- length of a rectangle = l
- width of a rectangle = w
- Perimeter of a rectangle = 2(l+w)
<u>Original rectangle</u> :
18 = 2(l+w)
18 = 2l + 2w ---------(1)
<u>New rectangle</u> :
46 = 2(3l+2w)
46 = 6l + 4w ---------(2)
<u>Solving the equations</u> :
Multiply (1) by 2 and subtract (2) from (1)
4l + 4w = 36
-(<u>6l + 4w = 46</u>)
<u>-2l = -10</u>
l = 10/2
length = 5 inches.
Substitute l=5 in (1)
18 = 2(5)+2w
18 = 10+2w
2w = 8
w = 8/2
width = 4 inches.
length of new rectangle = 3(l) = 3
5 = 15 inches.
width of new rectangle = 2(w) = 2
4 = 8 inches.
Answer:
45 gallons
Step-by-step explanation:
1 hour = 3 gallons
2 hours = 6 gallons
3 hours = 9 gallons
4 hours = 12 gallons
5 hours = 15 gallons
10 hours = 30 gallons
15 hours = 45 gallons