Answer:
The desired equation is y = (-8/3)x + 26/3.
Step-by-step explanation:
Moving from (1,6) to (4, -2) involves an increase of 3 in x and a decrease of 8 in y. Thus, the slope of the line thru these two points is m = rise / run = -8/3.
Using the slope-intercept form of the eq'n of a straight line and inserting the data given (slope = m = -8/3, x = 4, y = -2), we get:
y = mx + b => -2 = (-8/3)(4) + b, or -2 = -32/3 + b
Multiply all terms by 3 to clear out the fraction:
-6 = -32 + 3b.
Then 26 = 3b, and b = 26/3.
The desired equation is y = (-8/3)x + 26/3.
Answer: 5 weeks
Step-by-step explanation:
100 divided by 20 equals 5
Answer:
-5/2
Step-by-step explanation:
i really hope this helps you out!
Answer:
<h2>140 minutes</h2>
Step-by-step explanation:
this problem focuses on the combined work rate
both can finish the work under 63 minute
let bobby mow the lawn in x minute
Billy will then mow the lawn in x-25 minutes
Let the completed job = 1 (a mowed lawn)
we can now apply the combined work formula for the two boys as
multiplying through by x(x-25 )we have

open bracket we have

rearranging and collecting like terms we have

we can now use the quadractic formula
a= 1
b= -151
c= 1575



the first answer x= 139.72 approximately 140 minutes mins is correct for Bobby's time
let us check

we can see that the solution approximates to 1
Step-by-step explanation:
Notice that
9y² - 4xy + 4x²/9 = (3y - 2x/3)².
Therefore (9y² - 4xy + 4x²/9) / (3y - 2x/3)
= (3y - 2x/3).