Answer:
x=2, y=-3
Step-by-step explanation:
x+3y+-7
move variable to the right and -3y from each side
x+3y-3y=-7-3y
x= -7-3y
3x -4y=18
3(-7-3y)-4y=18
solve for y, distribute
-21-9y-4y=18
collect like terms
-21-13y=18
move constant and change sign
-13y=18+21
add
-13y=39
divide by -13
y= -3
substitute
x=-7-3(-3)
solve
x=2
Answer:
y=8.50x+0.25
Step-by-step explanation:
She/he starts off with 8.50 and throughout the week she can earn 0.25 per joke. We don't know how many times a joke is made so it would be an x.
Answer:
Step-by-step explanation:
Givem the profit function
p(x) = −2000x2 + 18000x − 15000
We are to generate the price range that will generate a monthly profit of at least $25,000
Substitute into the function we have;
25000 = −2000x2 + 18000x − 15000
Divide through by 1000
25 = -2x²+18x-15
Rearrange
-2x²+18x-15-25 = 0
2x²-18x+40 = 0
Divide through by 2
x²-9x+20 = 0
Factorize
x²-5x-4x+20 = 0
x(x-5)-4(x-5) = 0
x-4 = 0 and x-5 = 0
x = 4 and x = 5
Hence the price range that will generate a monthly profit of at least $25,000 is between $4 and $5 inclusive
