6) f(x) = 2x - 1, g(x) = 3x + 7Find (fg)(x)
1 answer:
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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)
Answer:
b. complementary
Step-by-step explanation:
-Complementary angles are angles that add up to 90°.
-These are usually the two acute angles in the right triangle.
#To verify, lets take the two angles 30° and 60°:
#We can reverse as:
Hence, two angles are said to be complimentary if they sum up to 90°.
Answer:
x = 4
Step-by-step explanation:
The vertex is on the line of symmetry. The zeros are located equidistant from the line of symmetry, which is ...
x = (2 + 6)/2 = 4
The x-coordinate of the vertex is x=4.
