Answer:
A function that has an axis of symmetry at x = 3 is:
f (x) = x ^ 2 - 6x - 1
Step-by-step explanation:
A parabola has an axis of symmetry at x = 3 if the x-value of the vertex is 3.
f(x) = x^2 + 3x + 1 = x^2 + 3x + 9/4 - 5/4 = (x + 3/2)^2 - 5/4 => vertex = (-3/2, -5/4)
f(x) = x^2 - 3x - 3 = x^2 - 3x + 9/4 - 21/4 = (x - 3/2)^2 - 21/4 => vertex = (3/2, -21/4)
f(x) = x^2 + 6x + 3 = x^2 + 6x + 9 - 6 = (x + 3)^2 - 6 => vertex = (-3, -6)
f(x) = x^2 - 6x - 1 = x^2 - 6x + 9 - 10 = (x - 3)^2 - 10 => vertex = (3, -10)
Therefore, f(x) = x^2 - 6x - 1 has an axis of symmetry at x = 3.
Hope This HELPS!!!
Calculate the intercepts bu replacing x or y with 0 and solving for the other.
4x - 1 = 3y + 5
If x = 0,
4(0) - 1 = 3y + 5
-1 = 3y + 5
-6 = 3y
y = -2
If y = 0
4x - 1 = 3(0) + 5
4x - 1 = 5
4x = 6
x = 6/4 or 3/2
x int: (3/2,0)
y int: (0,-2)
48 sets i believe since there are only 48 maximum of blue, green and yellow crayons therefore the 49th set would only contain a red crayons and a picture
Lawn Sprinkler Time = (Hose Time * Combined Time) / (Hose Time - Combined Time)
Lawn Sprinkler Time = (8 * 5) / (8 -5)
Lawn Sprinkler Time = 40 / 3
Lawn Sprinkler Time = 13.33 minutes
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Double-Check
Total Time = (Time 1 * Time 2) / (Time 1 + Time 2)
Total Time = (8 * 13.33) / (8 + 13.33)
Total Time = 5 minutes
It is correct!!
The answer is A) 5ft
a²+b²=c²
3²+4²=c²
9+16=c²
√25=c²
5=c