The answer would be 6 (This is just to get 20 caracters NOT PART OF ANSWER)
Hello! The ratio would be 15 minutes warm ups: 65 minutes total workout.
To simplify this: 3:13 ratio. (Divided 15 by 5 and 65 by 5)
(k+1)x-(2k+3)y-3k-5=0
kx + x - 2ky - 3y - 3k - 5 = 0
(x - 2y) k + (x - 3y) = 3k + 5
therefore
x - 2y = 3
x - 3y = 5
Subtract 2 equations
y = -2
x = -1
Answer:
x = 3/2
Step-by-step explanation:
Solve for x over the real numbers:
(5 x^2 - 4 x + 6) (3 - 2 x) = 0
Split into two equations:
3 - 2 x = 0 or 5 x^2 - 4 x + 6 = 0
Multiply both sides by -1:
2 x - 3 = 0 or 5 x^2 - 4 x + 6 = 0
Add 3 to both sides:
2 x = 3 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 2:
x = 3/2 or 5 x^2 - 4 x + 6 = 0
Divide both sides by 5:
x = 3/2 or x^2 - (4 x)/5 + 6/5 = 0
Subtract 6/5 from both sides:
x = 3/2 or x^2 - (4 x)/5 = -6/5
Add 4/25 to both sides:
x = 3/2 or x^2 - (4 x)/5 + 4/25 = -26/25
Write the left hand side as a square:
x = 3/2 or (x - 2/5)^2 = -26/25
(x - 2/5)^2 = -26/25 has no solution since for all x on the real line, (x - 2/5)^2 >=0 and -26/25<0:
Answer: x = 3/2
