Step-by-step explanation:
if parabola has a vertex not in x-axis, it should have 2 x intercept
x-vertex = -2
first x intercept = 3
second x intercept should -7
so the equation will like this
y = a(x-x1)(x-x2)
y = a (x-3)(x+7)
y = a(x² + 4x - 21)
5 = a((-2)² + 4(-2) - 21)
5 = a(4 - 8 - 21)
5 = a(-25)
a = 5/(-25)
a = -1/5
then the equation is
y = (-1/5)(x² - 4x - 21)
or you can write as
y = -x²/5 + 4x/5 + 21/5
or as this one
5y = -x² + 4x + 21
Answer: 48
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Explanation:
The keyword "of" means multiply
150% converts to the decimal form 1.5; you move the decimal point two spots to the left to go from percent form to decimal form
Putting those two facts together lead to...
150% of 32 = 1.5*32 = 48
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Another approach:
x% = x/100
150% = 150/100 = 1.5
150% of 32 = 1.5*32 = 48
The last step is identical as before, but the conversion of 150% is slightly different this time.
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Yet another approach:
100% of anything is itself
So 100% of 32 is 32
The extra 50% means we take half of 32 to get 16. Then we add that onto the 32 to get 16+32 = 48
Answer:
A.
Step-by-step explanation:
for a single element of x there is an element in y, so observing we see that no number is repeated in the ordinate x of the coordinates
Answer:
the answer is B
Step-by-step explanation:
We can visualize in this picture that there's angles that are facing each other and 2 sides one tops and one on the side.
So, if I am correct, it is asking how many cups would complete the fraction. So the answer would be a group of six cup.