which of the following integers cannot be written as the sum of four consecutive odd integers. (A) 16 (B) 40 (C) 72 (D) 100 (E)
2 answers:
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Answer:
Step-by-step explanation:
We are given that the graph of the equation:
Passes through the three points (0, 5), (1, 10), and (2, 19).
And we want to find the value of (<em>a</em> + <em>b</em> + <em>c</em>).
First, since the graph passes through (0, 5), its <em>y-</em>intercept or <em>c</em> is 5. Hence:
Next, since the graph passes through (1, 10), when <em>x</em> = 1, <em>y</em> = 10. Substitute:
Simplify:
The point (2, 19) tells us that when <em>x</em> = 2, <em>y</em> = 19. Substitute:
Simplify:
This yields a system of equations:
Solve the system. We can do so using elimination (or any other method you prefer). Multiply the first equation by negative two:
Add the two equations together:
Combine like terms:
Hence:
Using the first equation:
Therefore, our equation is:
Thus, the value of (<em>a</em> + <em>b</em> + <em>c</em>) will be:
Answer:
Step-by-step explanation:
The equation actually looks like this
and filling in the info given:
which simplifies to
Orders of operation tells us that we need to take care of the exponential stuff first, so
V = 25,000(.3663573) and
V = $9158.93 which rounds to what is shown as the second choice down: $9,159.