Solve for x over the real numbers:
-3 x^2 + 16 x + 12 = 0
The left hand side factors into a product with three terms:
-(x - 6) (3 x + 2) = 0
Multiply both sides by -1:
(x - 6) (3 x + 2) = 0
Split into two equations:
x - 6 = 0 or 3 x + 2 = 0
Add 6 to both sides:
x = 6 or 3 x + 2 = 0
Subtract 2 from both sides:
x = 6 or 3 x = -2
Divide both sides by 3:
Answer: | x = 6 or x = -2/3
Answer:
y = 10√16) = 40
Step-by-step explanation:
This says, "y is proportional to the square root of x." We are told that y = 60 when x = 36. Find the formula for this function. Then, determine what value y will take on when x = 16.
y = k√x becomes 60 = k√36, or 60 = 6k. Then k must be 10, and the formula is y = 10√x.
If x = 16, y = 10√16) = 40
Luckily, all of the denominators are factors of 100.
rainy: 12/100
sunny: 44/100
partly cloudy: 30/100
cloudy: 10/100
happy learning!
-mathgurl
Answer:
Here is the answer. Solved