Answer:
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Step-by-step explanation:
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Answer:
(-3, -17)
Step-by-step explanation:
The best way to find the vertex is to rewrite the given quadratic in vertex form: y - k = a(x - h)^2.
The given quadratic is f(x) = 2x2 + 12x + 1. We will focus on the first two terms and "complete the square." f(x) = 2x2 + 12x + 1 can be rewritten as
f(x) = 2(x^2 + 6x) + 1, which, after completing the square, is
f(x) = 2(x^2 + 6x + 9 - 9) + 1, or
f(x) = 2( (x + 3)^2 - 9 ) + 1, or
f(x) = 2(x + 3)^2 - 17
Comparing this to
f(x) = a(x - h)^2 + k, we see that the vertex is located at (h, k): (-3, -17)
Answer:
Step-by-step explanation:
Which Method Should Be Used to Solve a Quadratic Equation? Quadratic equations are of the form ax2 + bx + c = 0 where a, b and c are real numbers, a ≠ 0. Quadratic equations have two solutions, but it is possible that one solution may repeat. happy to help
Answer:
d = 5 cm
Step-by-step explanation:
Volume of a rectangular prism: L*W*H
- L = 2 cm
- W = 2 cm
- H = d cm
- V = 20 cm³
Substitute the values above into the formula:
V = L*W*H
20 = 2*2*d
20 = 4d
/4 /4
5 = d
Therefore, the value of d is 5 cm.
Hope this helps!
Answer:
y = 3/2x + 6
Step-by-step explanation:
y = 3/2x - 4
y-intercept through point (-2, 3):
3 = 3/2(-2) + b
3 = -3 + b
b = 6
Equation of line:
y = mx + b
y = 3/2x + 6
**Parallel line share the same slope, in this case 3/2.