Answer:
(-6,0) and (0,-6) are the points on the graph
Answer:
Step-by-step explanation:
10 miles in 80 minutes = 1 mile in x minutes
10/80 = 1/x
10x = 80
x = 80/10
x= 8 miles per minute <===
======================
14 lbs rice for $ 8 = 1 lb rice for x $
14/8 = 1/x
14x = 8
x = 8/14
x = 0.57 per lb <=== thats 57 cents per lb
Answer:
No because (6, 4) is on the line
Step-by-step explanation:
x = 6
y = 4
1
4 > 
------- 6 + 7
2
6
4> ------ + 7
2
4 > -3 + 7
4 > 4
that is not true so the answer is no because ( 6, 4) is on the line
Answer:
A. 11c
Step-by-step explanation:
11 is the coefficient, c is the variable
It would take one construction worker 9 days and the other 18 days.
Let x be the number of days the first construction worker takes to build the room by himself. If x were 2, he could build 1/2 of the room in the time limit, etc...so 1/x will be the portion of the room he can build by himself in the given tie limit.
The second construction worker can build 1/(x+9) of the room by himself in the given time limit.
Together, we have the equation
1/x(6) + 1/(x+9)(6) = 1
[The speed of the first contractor times the number of days, and the speed of the second contractor times the number of days; together they build 100% of the room]
This gives us
6/x+ 6/(x+9) = 1
We will multiply everything by x to get it off of the denominator:
6/x(x) +(6/(x+9))(x)= x
6 + 6x/(x+9) = x
Multiply everything by x+9 now:
6(x+9) + (6x/(x+9))(x+9) = x(x+9)
6x + 54 + 6x = x² + 9x
12x + 54 = x² + 9x
Subtract 12x from each side:
12x + 54 - 12x = x²+9x-12x
54 = x²-3x
Subtract 54 from each side:
54-54 = x²-3x-54
0 = x²-3x-54
This factors easily; -9(6) = -54 and -9+6 = -3:
0 = (x-9)(x+6)
Using the zero product property we know either x-9=0 or x+6=0; this gives us x=9 or x=-6. Negative time makes no senses, so x=9 hours.
This means the slower contractor takes 9+9 = 18 hours.
