Answer:
The percentage that the coat was reduced is 25%.
Step-by-step explanation:
A percentage is always out of a factor of 100.
40 x 2.5 = 100
30 x 2.5 = 75
75/100 = 3/4
1/4 is missing, which is the percentage.
1/4 = 0.25, or 25%
Hope This Helps!
Answer:
A reflection across the y- axis
Step-by-step explanation:
Under a reflection in the y- axis
a point (x, y) → (-x, y)
A point in the second quadrant (- x, y)
Under reflection in the y- axis is (x, y) ← point in first quadrant
Hi it’s 13m hope that helps!
I'll do the first one to get you started
The equation y = x^2+16x+64 is the same as y = 1x^2+16x+64
Compare that to y = ax^2+bx+c and we see that
a = 1
b = 16
c = 64
Use the values of 'a' and b to get the value of h as shown below
h = -b/(2a)
h = -16/(2*1)
h = -8
This is the x coordinate of the vertex.
Plug this x value into the original equation to find the corresponding y value of the vertex.
y = x^2+16x+64
y = (-8)^2 + 16(-8) + 64
y = 0
Since the y coordinate of the vertex is 0, this means k = 0.
The vertex is (h,k) = (-8, 0)
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So we found that a = 1, h = -8 and k = 0
Therefore,
f(x) = a(x-h)^2 + k
f(x) = 1(x-(-8))^2 + 0
f(x) = (x+8)^2
is the vertex form
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<h3>Final answer to problem 1 is f(x) = (x+8)^2 </h3>
3) The snow is falling and the stores run out of snow shovels. This relationship can best be described as causal.
A causal relationship is a relationship between two events wherein the occurrence of the first events gives rise to the second event. The first event causes the second event to happen.
The falling snow is the first event, had it not happened, it would not have resulted to the second event which is the stores running out of snow shovels.
