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Mathematics

1 answer:

RUDIKE [14]3 years ago

6 0

The data is larger for intermediate values of x, so the parabola opens downward. That leaves only the 2nd and 4th choices, where the x² coefficient is negative.

To determine which of those is appropriate, it is only necessary to consider x=1. The 2nd choice will give a y-value near 100; the 4th choice will give a y-value near 250.

The fourth choice is appropriate:

... y = -9.16x² +73.04x +183.3

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Alternatively, you can consider that for the x-coordinate of the vertex to be positive (it's about +4), the coefficients of the x² and x terms must have opposite signs. Using this consideration, you don't even need to evaluate the expression to determine that the 4th choice is the correct one.

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F(x)= 7.45x +33.7 at x=-4.3

weeeeeb [17]

To solve this function, all we need to do is substitute -4.3 in for wherever "x" appears and then simplify.

f(x) = 7.45x + 33.7; x = -4.3

f(-4.3) = 7.45(-4.3) + 33.7

f(-4.3) = -32.035 + 33.7

f(-4.3) = 1.665

This means that, when x = -4.3, f(x) = 1.665.

Note: It may help to remember that, in a function such as this, f(x) can be thought of as the "y" value that corresponds to the given "x" value (in fact, when writing it out with words, f(x) is the same as "function of x"). And, if you are given a value for f(x), then the opposite is true. Just substitute in the value given for f(x) and solve for x.

Hope this helps!

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4 years ago

Theo had a balance of -$24 in his savings account. After making a deposit, he has $40 in his account. What is the overall change

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3 years ago

Calculate 0.8 of $4500

aleksandr82 [10.1K]

$3,600 is 0.8% (or 80%) of $4,500.