1st one as they go up in constant values
X=7, y=6. that’s your answer!
Simplifying
f + -6 = 3f + 1
Reorder the terms:
-6 + f = 3f + 1
Reorder the terms:
-6 + f = 1 + 3f
Solving
-6 + f = 1 + 3f
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Add '-3f' to each side of the equation.
-6 + f + -3f = 1 + 3f + -3f
Combine like terms: f + -3f = -2f
-6 + -2f = 1 + 3f + -3f
Combine like terms: 3f + -3f = 0
-6 + -2f = 1 + 0
-6 + -2f = 1
Add '6' to each side of the equation.
-6 + 6 + -2f = 1 + 6
Combine like terms: -6 + 6 = 0
0 + -2f = 1 + 6
-2f = 1 + 6
Combine like terms: 1 + 6 = 7
-2f = 7
Divide each side by '-2'.
f = -3.5
Simplifying
f = -3.5
B. Isosceles. that is the correct answer
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
