Answer:
2^9 = 512
Step-by-step explanation:
2^9 = 512 is the largest number less than 1000 that has only 2s in its prime factorization.
1. Replace f(x) with y: y = 3x - 15
2. Interchange x and y: x = 3y - 15
3. Solve this for y: 3y = x + 15, and y = (x + 15)/3
4. Replace y with
-1 -1
f (x): f (x) = (x + 15) / 3 (answer)
Answer:
b = 4
Step-by-step explanation:
3 - b = 6 - 7
3 - b = -1
-b = -1 -3
-b = -4
b = 4
Answer:
x = 8 and y = 10
Step-by-step explanation:
Since the figures are congruent:
Angle PQR = EFG
6y + x = 68
Segment QR = FG
2x - 4 = 12
Solving that:
2x - 4 = 12
2x = 16
x = 8
Replacing x in 6y + x =68
6y + 8 = 68
6y = 60
y = 10
Answer:
0.12 x (x + 3000) = 4200
equation for her salary last year : last year's salary = (4200 / 0.12) - 3000
$32,000
Step-by-step explanation:
Let x = last year's salary
this year's salary = 3000 + x
this equation can be used to determine how much she saved this year = 0.12 x (x + 3000) = 4200
to find last year's salary, make x the subject of the formula
4200 / 0.12 - 3000 = x
x = $32,000
