The correct answer is B)
Writing the sequence numerically, we have 4, 7, 10, ...
This is an arithmetic sequence, since there is a constant, 3, added each time. This gives us the explicit formula
Using the distributive property, we have
Combining like terms, we have
Seven hundred forty-five thousand three hundred five
It is B because the euation of a line is mx+b m=the slope and b= the y intercept
Answer: y - 5 = 2/3(x - 0)
Explanation:
Point slope form:
y - y1 = m(x - x1)
Given information:
y1 = 5
x1 = 0
m = 2/3
We can write the equation using the form:
y - 5 = 2/3(x - 0)
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Find constant a.
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Given that g(4) = 8
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Substitute x = 4
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g(4) = a(4)² + 24 = 8
16a + 24 = 8
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Take away 24 from both sides
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16a = 8 - 24
16a = -16
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Divide by 16 on both sides
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a = -1
Now that we know that a = -1, plug it back to the equation.
g(x) = -x² + 24
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Find g(-4)
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g(-4) = - (-4)² + 24
g(-4) = -16 + 24
g(-4) = 8
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Answer: 8
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