<span>number of gallons of gas, x
</span><span>total cost of the gas, y
</span>
3.75x <= 12
x <= 3.2
<span>The greatest amount of gas Berto can buy is 3.2 gallons</span>
STEP
1
:
y
Simplify —
3
Equation at the end of step
1
:
y
(((18•(x5))•(y3))+((6•(x2))•(y4)))+((((24•(x6))•—)•x)•y)
3
STEP
2
:
Equation at the end of step
2
:
y
(((18•(x5))•(y3))+((6•(x2))•(y4)))+((((23•3x6)•—)•x)•y)
3
STEP
3
:
Canceling Out:
3.1 Canceling out 3 as it appears on both sides of the fraction line
Equation at the end of step
3
:
(((18•(x5))•(y3))+((6•(x2))•(y4)))+((8x6y•x)•y)
STEP
4
:
Equation at the end of step
4
:
(((18•(x5))•(y3))+((2•3x2)•y4))+8x7y2
STEP
5
:
Equation at the end of step
5
:
(((2•32x5) • y3) + (2•3x2y4)) + 8x7y2
STEP
6
:
STEP
7
:
Pulling out like terms
7.1 Pull out like factors :
8x7y2 + 18x5y3 + 6x2y4 = 2x2y2 • (4x5 + 9x3y + 3y2)
Trying to factor a multi variable polynomial :
7.2 Factoring 4x5 + 9x3y + 3y2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final result :
2x2y2 • (4x5 + 9x3y + 3y2)
Answer:
D. y=-1/5(x)
Step-by-step explanation:
To find the equation of a line, use the formula y=mx+b, where x and y represent your x and y coordinates, m is your slope and b is your y-intercept.
b is you y-intercept, this is where the line cuts the y-axis. We can see from the graph that the line cuts the y-axis at (0,0), so c=0.
Now we have y=mx
Sub in one of our points (10,-2):
-2=m10
m=-1/5
So our equation looks like this:
y=-1/5(x)
Let
x---------> the number
we know that
[9+2x]*4=4x+12
36+8x=4x+12
8x-4x=12-36
4x=-24
x=-24/4
x=-6
the answer is
-6
