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)
First find how many units of solution there is:
500* 2% = 500(.02) = 10 units
You need 10 units of solution in 'x' units of a 10% solution.
x*10% = 0.1x = 10 units -----> x = 10/0.1 = 100
100 units are needed
Answer:
y=7
Step-by-step explanation:
That would be the same as : 10 × (x + 8)
Okay, so it's asking for the product of 10, and the sum of 8 and k. Sum is the answer to an addition problem, so that would make the last of it 8 + k. And we'd be multiplying this with 10, so that would make it : 10 × (x + 8)
Answer:
4:7
Edit: I just saw the multiple choice options, in this case the right answer is:
<h2>
8:14</h2>
but they're both equal
Step-by-step explanation:
The ratio you are looking for is
freestyle laps : (freestyle + butterfly) laps
so:
8 : (6+8)
8:14
Divide by 2 to simplify
4:7
