Answer:
b. exactly one solution
Step-by-step explanation:
-5(z+1)=-2z+10
(first, distribute the 5 into the parenthesis)
-5z-5=-2z+10
(next, move the variables to the left and constants to the right)
-5z+2z=10+5
(combine like terms)
-3z=15
(isolate to variable to find the solution)
z=-5
i hope this helps :)
Answer: -8 and 6
Step-by-step explanation:
factors of 48: 1,2,4,6,8,12,24,48
1 x 48
2 x 24
4 x 12
6 x 8
for a negative product, one of the factors must be negative and the other positive.
for two number to have a sum of -2, the greater number must be the negative number, and both numbers should have be two values apart (ex. 6 and 8, 3 and 5, 12 and 14, etc.). In this case, 8 would have to be negative whereas 6 will be left positive.
and then we check:
-8 x 6 = 48
-8 + 6 = -2
Ok for this problem, there are 2 equations representing hall A and hall B
hall A: y=76x+862 where x=number of dinners and y=total cost
hall B: y=75x+894 for the same variables
To find where the 2 meet, simply substitute one equation into the other, creating: 76x+862=75x+894
Solving this, we find that x=32, so at 32 guests, the cost would be the same
For part 2, put the answer for part 1 into either equation from the start, so y=76(32)+862, or y=3294
And we already found that x=32, which represents the # of guests
