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natulia [17]
3 years ago
7

Find the value of g7) for the function below. g(x)= 7/8x -1/2

Mathematics
1 answer:
Leokris [45]3 years ago
3 0

Answer:

g(7) =  \frac{45}{8} \\   \: or \:   \\ 5 \frac{5}{8}

Step-by-step explanation:

We would just apply the 7 in g(7) as all the x

g(x)= 7/8x - 1/2

g(7)= 7/8(7) -1/2

\frac{7}{8}  \times  \frac{7}{1}  =  \frac{49}{8}

Simplify

g(7)= 49/8 -1/2

Multiply -1/2 by 4/4 to get the denominators the same

\frac{49}{8}  -  \frac{4}{8}  =  \frac{45}{8}

answer: g(7)=45/8

(simplified): g(7)=5 5/8

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Answer:

Stephen's claim is correct.

Step-by-step explanation:

The given function is

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Put x=0 to find the y-intercepts.

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The y-intercept of the function is at (0,15). It means jeremiah's statement is incorrect.

Put f(x)=0, to find the x-intercept.

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f(x)=x^2+8x+15

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f(x)=(x^2+8x+16)-1

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The vertex form of a parabola is

f(x)=(x-h)^2+k                .... (2)

Where, (h,k) is vertex.

From (1) and (2) it is clear that the vertex of the parabola is (-4,-1), Stephen's claim is correct.

The midpoint between the x-intercepts is

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<h3>Answer:</h3>

D. R(x) = 850x +9600

<h3>Step-by-step explanation:</h3>

Selling 10 more machines increased revenue from $18100 to $26600, an increase of ...

... $26,600 -18,100 = $8,500

That is, the revenue increased by $8500/10 = $850 per machine.

Only one answer choice has this number in it:

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<em>Comment on answer selection</em>

On multiple-choice questions, it is rarely necessary to work out the solution to the problem completely. Usually, it is sufficient to find the one number that discriminates between correct and incorrect answers.

In real life, answers are rarely multiple-choice. You are required to work the problem completely and to figure out how to tell if your answer is correct.

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... b = 18100 -8500 = 9600

so ...

... R(x) = 850x +9600

We can check this answer by computing R(20), as we have above.

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