3 years ago

Which is a linear function?

Mathematics

1 answer:

oee [108]3 years ago

7 0

Answer:

Step-by-step explanation:

A linear function describes a straight line with constant gradient. Hence A is the answer as it has a constant gradient of -1 .

B is wrong as the graph has an undefined gradient.

C is wrong as it has an increasing gradient.

D is wrong as it does not have a constant gradient too.

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-3.7

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The graph of the function P(x) = −0.52x2 + 23x + 92 is shown. The function models the profits, P, in thousands of dollars for a

elena-14-01-66 [18.8K]

Answer:

6.84 ≤ x ≤ 37.39

Step-by-step explanation:

we have

$P(x)=-0.5x^2+23x+92$ -----> equation A

we know that

The company wants to keep its profits at or above $225,000,

$PXx)\geq 225$ -----> inequality B

Remember that P(x) is in thousands of dollars

Solve the system by graphing

using a graphing tool

The solution is the interval [6.78,39.22]

see the attached figure

therefore

A reasonable constraint for the model is

6.84 ≤ x ≤ 37.39

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4 years ago