9514 1404 393
Answer:
D. (-3, -2)
Step-by-step explanation:
The equations have different coefficients for x and y, so will have one solution. The solutions offered are easily tested in either equation.
Using (x, y) = (-2, -3):
x = y -1 ⇒ -2 = -3 -1 . . . . False
Using (x, y) = (-3, -2):
x = y -1 ⇒ -3 = -2 -1 . . . .True
2x = 3y ⇒ 2(-3) = 3(-2) . . . . True
The solution is (-3, -2).
__
If you'd like to solve the set of equations, substitution for x works nicely.
2(y -1) = 3y
2y -2 = 3y . . eliminate parentheses
-2 = y . . . . . . subtract 2y
x = -2 -1 = -3
The solution is (x, y) = (-3, -2).
Answer:
$200
y=25x+50
Step-by-step explanation:
y=25(6)+50
y=150+50
y=200
Answer:
Step-by-step explanation:
-This is an addition/subtraction problem.
#We subtract the sum of the first two expression from the third expression:
Hence, the expression must be added to the first two.
Answer:
60.72
Step-by-step explanation:
Monday: 60 degrees
Tuesday: temperature increases by 10 percent
60 + 10% of 60
60 + .10*60 = 70 +6 = 66
Wednesday: temperature decreases by 8 percent
66 - 8%of 66
66 - .08*66 = 66 -5.28=60.72
To solve for P(QIR) we use the formula:
P(QIR)=[P(Q∩R)]/P(R)
But from the diagram:
P(Q∩R)=3/22
P(R)=7/22
hence
P(QIR)=3/22÷7/22=3/7
