Write the quadratic equation y= x^2 -6x = 7 in vertex form.
1 answer:
Answer:
(x - 3)² - 16 = 0
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Subtract 7 from both sides
x² - 6x + 7 = 0 ← in standard form
with a = 1, b = - 6
Given a quadratic in standard form then the x- coordinate of the vertex is
= -
= -
= 3
Substitute x = 3 into the equation for y
y = 3² - 6(3) - 7 = 9 - 18 - 7 = - 16 ⇒ (h, k) = (3, - 16)
y = (x - 3)² - 16 = 0
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Answer:
20 percent
Step-by-step explanation:
Total number of pieces in a puzzle = 500
No. of pieces in first container = 220
No. of pieces in second container = 180
Let no. of pieces in the third container be x.
We get,
On adding 220 and 180, we get
On transposing 400 to RHS, we get
Percentage of pieces in the third container = (no. of pieces in third container/total no. of pieces in a puzzle)
Therefore, percentage of pieces in the third container = 20 percent