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3 years ago

This set of points is on the graph of a function.

Mathematics

1 answer:

Liula [17]3 years ago

7 0

If (a, b) is on the graph of a function f(x), then (b, a) is on the graph of the inverse.

We have points on the graph of a function: {(-3, 9), (-1, 1), (0, 0), (2, 4)}.

The points on the graph of the inverse: {(9, -3), (1, -1), (0, 0), (4, 2)}.

<h3>Answer: (4, 2), (0, 0), (1, -1).</h3>

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Francis ran 2 1/2 miles in 7/12 of an hour. How many miles can francis run in one hour?

nevsk [136]

7/12 of 1 hour:

1 hour = 60 min.

7/12 * 60

7 * 5 = 35

Francis ran 2 1/2 miles in 35 min.

2 1/2 = 5/2

5/2 miles = 35 min

x miles = 60 min

(Cross Multiply)

5/2 * 60 = 35x

5 * 30 = 35x

150 / 35 = x

x = 30 / 7 = 4 2/7 miles

Francis ran 4 2/7 miles in one hour.

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3 years ago

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For which of the values of a and b is the following statement not true?

Vedmedyk [2.9K]

A B D are all false and C is true

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3 years ago

NEED THE HELP ASAP!! 35 POINTS !!

Rashid [163]

Answer:

Option B is correct friend

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3 years ago

A restaurant averages ales of $120,000 when serving 20,000 guests. The restaurant's variable costs when 20,000 is $90,000. The c

Katarina [22]

Answer: Restaurant's monthly breakeven point in sales is $31333.

Step-by-step explanation:

Since we have given that

Number of guests = 20,000

Average sales = $120,000

Contribution margin per guest = $1.50

Let the number of sales be 'x'.

Cost per sales would be

$\dfrac{120000}{20000}\\\\=\$6$

Margin contributed by 2000 guests would be

$1.50\times 20000\\\\=\$3000$

So, Revenue function would be

$6x+3000$

Fixed monthly cost = $ 50,000

Variable cost for 20000 guests = $90000

So, Variable cost per sale would be

$\dfrac{90000}{20000}\\\\=\$4.5$

So, Cost function would be

$4.5x+50000$

Breakeven point would be

Cost function = Revenue function

$6x+3000=4.5x+50000\\\\6x-4.5x=50000-3000\\\\1.5x=47000\\\\x=\dfrac{47000}{1.5}\\\\x=\$31333.33\\\\x=\$31333$

Hence, Restaurant's monthly breakeven point in sales is $31333.

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3 years ago

The digit 5 in the number 9645 represents a value that is ____ times as large as the digit 5 in the number 62,594

aleksley [76]

10 times. The 5 in 9645 would be the same as just a standalone 5, while in 62,594 it is like 0,5. We know 0,5*10=5, thus the answer is 10 times

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3 years ago