A) an answer that cannot be written as a fraction.
Answer:
<h3>
</h3>
Step-by-step explanation:
<h3>to understand this</h3><h3>you need to know about:</h3>
- inequality
- solving inequality
- PEMDAS
<h3>given:</h3>
5 ≤ - 3x- 3 ≤ 10
<h3>to solve:</h3>
x
<h3>let's solve:</h3>
few notes about inequality
the direction of the inequality doesn't change if you
- Add (or subtract) a number from both sides
- Multiply (or divide) both sides by a positive number
- Simplify a side
the direction of the inequality does change
if you
- Multiply (or divide) both sides by a negative number
- Swapping left and right hand sides
Answer:
x = 1 and x = -3
Step-by-step explanation:
roots are points that y = 0
in two points we have this
x = 1 and x = -3
One way to do this is to try the different option to replace x. Let's start with 8. Two sides of the rectangle would be 8.
8*2=16
Now you have to take 16 from 40 to see what's left.
40-16=24
2(20-8)=2(12)=24
That means 8 is an option to use, but you still need to see if any of the other options work to find the greatest area.
9*2=18.......40-18=22.......2(20-9)=2(11)=22
9 would also work.
10*2=20.......40-20=20.......2(20-10)=2(10)=20
10 would work
11*2=22.......40-22=18.......2(20-11)=2(9)=18
So all of them would work. Now you just need to find the largest area, which is length x width.
x(20-x)
8(20-8)=8(12)=96
9(20-9)=9(11)=99
10(20-10)=10(10)=100
11(20-11)=11(9)=99
So if x is 10, It would make the largest area.
(Sorry for all the extra work. I never trust that all the answers would work for the perimeter)
Answer:
Step-by-step explanation:
The equation for a line can be written in slope-intercept form:
Where 
is the slope of the line and 
is the y-intercept.
Since we know "
increases by 
when 
increases by 
", that tells us that the slope of the line is .
To figure out the y-intercept, , we can plug in the coordinates given in the problem to the point that the line passes through, 
Therefore, the equation of the line is 
