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Nadya [2.5K]
2 years ago
6

jackson owes his sister Monica $15. Monica has a $10 in her pocket. Explain the meaning of zero in this situation.

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
5 0
The only zero I see here is in the 10$.

Here, it's a place holder, to show the real value of 1: if there was no "0", you would say that she has only 1 in her pocket.

but by filling the one's place with a digit, we "move" the 1 to the ten's place: which means that she will have 1 time 10, so 10 dollars (ten)
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Answer:

a = -0.32

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Step-by-step explanation:

In the figure attached, the quadratic function is shown. We can model it as follows:

y = a*(x - x1)*(x - x2)

where (x1, 0) and (x2, 0) are its roots

From the picture, roots are (15, 0) and (35, 0), replacing them into the equation:

y = a*(x - 15)*(x - 35)

and the vertex is at (25,32), replacing into the equation:

32 = a*(25 - 15)*(25 - 35)

32 = a*(-100)

a = 32/(-100)

a = -0.32

Applying distributive property:

y = -0.32*(x - 15)*(x - 35)

y = -0.32*(x² - 35x - 15x + 525)

y = -0.32x² + 16x - 168

which corresponds to the general form:

y = ax² + bx + c

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