The domain of the equation are all the possible values of the independent variables that would make the equation reasonable, possible or true. In this item, the independent variable is r. This could take a value of 0 up to the point when m is equal to zero.
m = 30 - 3r = 0
r = 10
The domain is therefore [0, 10].
The range is the value of the dependent variable which would be from 0 to the point when no video game is played. This is, [0, 30].
The function is discrete because r and m cannot take every value in the number line.
Answer:
b
Step-by-step explanation:
crab crab crab crab crab
Answer:
Part 1) ![P=(4x+4)\ units](https://tex.z-dn.net/?f=P%3D%284x%2B4%29%5C%20units)
Part 2)
a) ![P=32\ units](https://tex.z-dn.net/?f=P%3D32%5C%20units)
b) ![P=26\ units](https://tex.z-dn.net/?f=P%3D26%5C%20units)
c) ![P=13\frac{1}{3}\ units](https://tex.z-dn.net/?f=P%3D13%5Cfrac%7B1%7D%7B3%7D%5C%20units)
Step-by-step explanation:
<u><em>The complete question in the attached figure</em></u>
Part 1) Write an expression for the perimeter of the shape
we know that
The figure is composed by a larger square, a rectangle and a smaller square
1) The area of the larger square is given
![A=x^2\ units^2](https://tex.z-dn.net/?f=A%3Dx%5E2%5C%20units%5E2)
so
The length and the width of the larger square is x units
2) The area of the rectangle is given
![A=x\ units^2](https://tex.z-dn.net/?f=A%3Dx%5C%20units%5E2)
so
The length of the rectangle is x units and the width is 1 unit
3) The length and the width of the smaller square is x units
see the attached figure N 2 to better understand the problem
Find out the perimeter
The perimeter is the sum of all the sides.
so
![P=(x+x+x+x+1+1+1+1)](https://tex.z-dn.net/?f=P%3D%28x%2Bx%2Bx%2Bx%2B1%2B1%2B1%2B1%29)
![P=(4x+4)\ units](https://tex.z-dn.net/?f=P%3D%284x%2B4%29%5C%20units)
Part 2) Find the perimeter for each of the given values of x.
a) For x=7 units
Substitute the value of x in the expression of the perimeter
![P=(4(7)+4)=32\ units](https://tex.z-dn.net/?f=P%3D%284%287%29%2B4%29%3D32%5C%20units)
b) For x=5.5 units
Substitute the value of x in the expression of the perimeter
![P=(4(5.5)+4)=26\ units](https://tex.z-dn.net/?f=P%3D%284%285.5%29%2B4%29%3D26%5C%20units)
b) For x=7/3 units
Substitute the value of x in the expression of the perimeter
![P=(4(\frac{7}{3})+4)=\frac{40}{3}=13\frac{1}{3}\ units](https://tex.z-dn.net/?f=P%3D%284%28%5Cfrac%7B7%7D%7B3%7D%29%2B4%29%3D%5Cfrac%7B40%7D%7B3%7D%3D13%5Cfrac%7B1%7D%7B3%7D%5C%20units)
Answer:
120
Step-by-step explanation:
all complementary angles should add up to 180 degrees
Answer:
n-58
Step-by-step explanation: