Answer:
a = - 4, b = 5
Step-by-step explanation:
Expand the left side, then compare the coefficients of like terms.
- 3(2x² + ax + b)
= - 6x² - 3ax - 3b, compare to - 6x² + 12x - 15
Compare coefficients of x- terms
- 3a = 12 ( divide both sides by - 3 )
a = - 4
Compare constant terms
- 3b = - 15 ( divide both sides by - 3 )
b = 5
Answer:
Part A: We know that 3 bushels is $24, and that rate remains constant, as the graph has a straight line.
Divide both sides by 3 to get 1 bushel=$8.
We can also double check with the other values: 48/6=$8 per bushel, 72/9=$8 per bushel, and so on.
The rate of change is the slope of a line (how much one value changes when the other value does). In this equation, the equation of the line is y=8x, so the slope is 8. Therefore, the rate of change is 8.
Part B: In the previous year, each bushel of corn was 21/3, 42/6, etc., or $7 a bushel. This year, it is $8, so $8-$7=$1
Step-by-step explanation:
your welcome
The tax is $18.90
(9/100) x 120 = $18.90
hope i helped :)
Based on the table, Problem A needs to be fixed in 24 hours (9 AM tomorrow). Problem B needs to be fixed in 24 hours (10 AM tomorrow). Problem C needs to be fixed in 12 hours (11 PM that night). Problem D needs to be fixed in 12 hours (11:30 PM that night). So the technician's order will be: C, D, A, B. This is the third choice.
Answer:
x = 26 , y = 33
Step-by-step explanation:
3x + 2y = 144 (1)
2x + 5y = 217 (2)
3x + 2y = 144
(divide the equation by 3)
x + (2/3)y = 48
x = 48 - (2/3)y
Plug into (2)
2[48 - (2/3)y] + 5y = 217
96 - (4/3)y + 5y = 217
11y/3 = 217 - 96
11y/3 = 121
y = 121×3/11
y = 33
x = 48 - (2/3)y
x = 48 - (2/3)(33)
x = 48 - 22
x = 26
