Answer:(5,8)
Step-by-step explanation: you just move5 to the rigth to get 3 and move 8 down to get -1
You find the range by plugging 0 ,2 and 4 into x^2 + 1.
for x = 0 y = 0 + 1 = 1
x = 2, y = 2^2 + 1 = 5
x = 4 y = 4^2 + 1 = 17
so the range is {1, 5, 17}
Answer:
Question 6
Question 7
The width is 2x.
Step-by-step explanation:
Question 6)
Expand
solving to the expand
so the expression becomes
adding similar elements: 20a+2a=22a
Hence,
Question 7)
Given
Using the formula
width = Area/Length
∵ 
Therefore, the width is 2x.
Answer:
The volume of the cylinder is 2520.64ft³
Step-by-step explanation:
To calculate the volume of a cylinder we have to use the following formula:
v = volume
h = height = 19ft
π = 3.14
r = radius = 6.5ft
v = (π * r²) * h
we replace with the known values
v = (3.14 * (6.5ft
)²) * 19ft
v = (3.14 * 42.25ft²) * 19ft
v = 132.665ft² * 19ft
v = 2520.64ft³
The volume of the cylinder is 2520.64ft³
If you assign variables to the problem, it can make things a lot simpler. Lets say chairs are x and tables are y. Therefore you have:
2x+6y=40
5x+3y=25
Now you can isolate the variable of one equation and put it into another (it doesn't matter which. I'm going to manipulate the top equation to plug into the bottom one).
2x=40-6y
x=20-3y
Now I plug into bottom equatioin:
5(20-3y) + 3y=25
100-15y+3y=25
100-12y=25
-12y=-75
y=$6.25
Now you can plug in y in either equation to get x.
2x+6(6.25)=40
37.5+2x=40
2x=2.5
x=1.25
So it costs $6.25 for each table and $1.25 for each chair. If you think about it, it would make sense for the table to cost more for the chair.
