Answer:
a = 0.5454545455
Step-by-step explanation:
Simplifying
3(a + 2) + 4(2a + -3) = 0
Reorder the terms:
3(2 + a) + 4(2a + -3) = 0
(2 * 3 + a * 3) + 4(2a + -3) = 0
(6 + 3a) + 4(2a + -3) = 0
Reorder the terms:
6 + 3a + 4(-3 + 2a) = 0
6 + 3a + (-3 * 4 + 2a * 4) = 0
6 + 3a + (-12 + 8a) = 0
Reorder the terms:
6 + -12 + 3a + 8a = 0
Combine like terms: 6 + -12 = -6
-6 + 3a + 8a = 0
Combine like terms: 3a + 8a = 11a
-6 + 11a = 0
Solving
-6 + 11a = 0
Use distributive property and expand by multiply 4 by x and -y.
4(x-y) = 4x-4y
answer: 4x-4y
Please please help please help me please please help me
1
g(x) = (x - 3)² - 4
given f(x) is shifted a units horizontally to the right → f(x) → f(x - a)
If f(x) is shifted by a units horizontally left → f(x) → f(x + a)
If f(x) is shifted by b units vertically up → f(x) → f(x) + b
If f(x) is shifted by b units vertically down → f(x) → f(x) - b
The vertex (0, 0) of f(x) has shifted to (3, -4)
that is 3 units horizontally to the right and 4 units vertically down
hence g(x) = (x - 3)² - 4