A*b=18 ____[1]
a+b=19____[2]
[2] a=19-b ___[3]
put [3] in [1]
(19-b)*b = 18
19b-b^2 = 18
b^2-19b+18 = 0
(b-18)(b-1) = 0
so b=18 or b=1
if b=18 then a=19-18=1
if b=1 then a=19-1=18
SO two factors are 1 and 18
Answer: A) 18.2 minutes
B) 4.5 minutes.
Step-by-step explanation:
A) Maxine can mow one lawn in 24 minutes, so the rate of work is:
1/24 of the lawn per minute.
Sammie can mow one lanw in 36 minutes, so the rate of work is:
1/36 of the lawn per minute.
The amount of the lawn that each has left to lawn by the minute x is:
Maxine = 1 -(1/24)*x
Sammie = 1 - (1/36)*x
we want to find the value of x such that:
2*(1 - (1/24)*x) = 1 - *(1/36)*x
which means that the amount that Sammie has left is two times the amount that Maxine has left to mow.
2 - (1/12)*x = 1 - (1/36)*x
2 - 1 = (1/12 - 1/36)*x
1/0.055 = x = 18.2
by the minute 18.2
B) Similar to before, here the rates are:
For Maxine, R = 1/6
For Sammie, R = 1/9
The amount they have left to mow by minute x is:
Maxine = 1 - (1/6)*x
Sammie = 1 - (1/9)*x
We want to solve, similar to before.
2( 1 - (1/6)*x) = 1 - (1/9)*x
2 - (1/3)*x = 1 - (1/9)*x
2 - 1 = (1/3 - 1/9)*x
1 = (2/9)*x
1*9/2 = x = 4.5
So here the solution is 4.5 minutes. Hope this helps
Answer:
6x - 18
Step-by-step explanation:
2x−6+4x−12
He had 3000 originally do 3000 divided by 1/6 and i got 3000 by 6 x 500
Answer:
x = 0
Step-by-step explanation:
At x = 0, the average rate of change of the function is 7 which is smallest
