Answer:
The student made the first mistake in step 2.
Step-by-step explanation:
4x² - 12x = 7
- 7 - 7
4x² - 12x - 7 = 0
4x² + 2x - 14x - 7 = 0
2x(2x) + 2x(1) - 7(2x) - 7(1) = 0
2x(2x + 1) - 7(2x + 1) = 0
(2x - 7)(2x + 1) = 0
2x - 7 = 0 or 2x + 1 = 0
+ 7 + 7 - 1 - 1
2x = 7 2x = -1
2 2 2 2
x = 3¹/₂ or x = ⁻¹/₂
64 less than y = y-64
no less = greater or equal than
negative 128 = -128
y-64 ≥ -128
Add 64 to both sides of the inequality:
y-64+64 ≥ -128+64
y ≥ -64
interval :
[-64,∞)
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Answer:
The vertex form of a quadratic is given by
y = a(x – h)^2 + k, where (h, k) is the vertex. h may act as "x" in this case.
Step-by-step explanation:
The vertex form of a quadratic is given by
y = a(x – h)^2 + k, where (h, k) is the vertex.
You must simply get an equation in this format to find h and k.
