Answer:
Step-by-step explanation:
y=3(x+1)²
note : y ≥ 0 because : 3(x+1)² ≥ 0
calculate x : (x+1)² = y/3
x + 1 = √(y/3) or x + 1 = - √(y/3)
x = -1 + √(y/3) or x = - 1 - √(y/3)
Answer:
41 sqrt(3)
Step-by-step explanation:
7 sqrt(27) + 5 sqrt(48)
7 sqrt(9*3) + 5 sqrt(16*3)
We know that sqrt(ab) = sqrt(a) * sqrt(b)
7 sqrt(9)sqrt(3) + 5sqrt(16) sqrt(3)
7 * 3 sqrt(3) + 5 *4 sqrt(3)
21 sqrt(3) + 20 sqrt(3)
41 sqrt(3)
Let x = cups of 11% wheat, and y = cups of 63% wheat
He wants 12 cups in total, so we need:
x + y = 12
These 12 cups need to have 50% wheat, which means we are looking at 12*.5 = 6 cups of wheat in total, so our second equation is:
.11x + .63y = 6
We have two equations and two variables. So we can solve by using any means you want. I used substitution:
x = 12 - y
.11(12-y) + .63y = 6
1.32 -.11y + .63y = 6
.52y = 4.68
y = 9
Which means x = 3
Thus, 3 cups of 11% and 9 cups of 63%.
Answer
r = 2
Step-by-step explanation:
Answer:
A. 20ft
Step-by-step explanation: