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Rainbow [258]
3 years ago
14

For the graph below, what should the domain be so that the function is at least 300?

Mathematics
2 answers:
tatiyna3 years ago
4 0
Y = -2x^2 + 50x + 300
-2x^2 + 50x + 300 ≥ 300
-2x^2 + 50x ≥ 0
-2x^2 ≥ -50x
x^2 ≤ 25x
x ≤ 25

Therefore, required domain is 0 ≤ x ≤ 25
Dominik [7]3 years ago
4 0

Answer:

The domain of the function so that the function is at least 300 is:

0 ≤ x ≤ 25

Step-by-step explanation:

We are given graph of the function y as:

y =-2x^2+50x+300

-2x^2+50x+300\geq 300

on subtracting both side of the inequality by 300 we obtain:

-2x^2+50x\geq 0

-2x(x-25)\geq 0

This inequality is obtained when one of the term is positive and the other is negative:

i.e. if x≥0

and x-25≤0

i.e. x≤25 then the product :

-2x(x-25)≥0.

Hence, the domain is:

  0 ≤ x ≤ 25

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