9514 1404 393
Answer:
(x, y) = (-1, -16) or (3, 0)
Step-by-step explanation:
Perhaps you want to solve the system of equations ...
- y = x^2 +2x -15
- y -4x = -12
Substituting the first expression for y into the second equation gives ...
x^2 +2x -15 -4x = -12
x^2 -2x -3 = 0 . . . . . . . . add 12
(x -3)(x +1) = 0 . . . . . . . factor
Solutions are the values of x that make the factors zero: x = 3, x = -1.
The corresponding values of y are ...
y = -12 +4x
y = -12 +4{-1, 3} = -12 +{-4, 12} = {-16, 0}
The solutions to the system are ...
(x, y) = (-1, -16) or (3, 0)
Answer:
x=19
Step-by-step explanation:
The consecutive integers will be x, x+1 and x+2 since consecutive integers have a pattern.
So, the equation is x+x+1+x+2=60
Solve:
x+x+1+x+2=60
3x+3=60
Subtract 3 on both sides:
3x+3-3=60-3
3x=57
Divide by 3
3x/3=57/3
x=19
Answer:
Step-by-step explanation:
Assuming you are asking for
85,000,000 + 2.9 x 10^5 =
8.5 x 10^7 + 2.9 x 10^5 =
10^5 ( 8.5 x10^2 + 2.9) =
10^5 ( 850+2.9) =
10^5 ( 852.9) =
10^5 x 8.529 x 10 ^2=
8.529 x 10^7
or
85,000,000 + 2.9 x 10^5 =
85,000,000 + 290,000 =
85290000 =
8.529 x 10 ^7 (because we moved 7 spots to the left)