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2 years ago

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Write the product of the reciprocal of 5 and 5g-20

1 answer:

Naddika [18.5K]2 years ago

3 0

Answer:

$reciprocal \: of \: 5 = \frac{1}{5} \\ reciprocal \: of \: (5g - 20) = \frac{1}{5g - 20} \\ product \: of \: reciprocals = ( \frac{1}{5} )( \frac{1}{5g - 20 } ) \\ = \frac{1}{5(5g - 20)} \\ = \frac{1}{(25g - 100)} \\ divide \: by \: 25 \: on \: everything \: (optional) \\ = \frac{(1 \div 25)}{(25g \div 25) - (100 \div 25)} \\ = \frac{0.04}{g - 4}$

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The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 10t3 + 28t2 – 24t, where t i

vekshin1

In this question, the profit of the restaurant after t months is given by a polynomial function. To find when it begins to show a profit, we find the numerical values of the function for t, and it shows a profit when $t > 0$

Profit after t months:

$P(t) = t^4 - 10t^3 + 28t^2 - 24t$

0 months:

This is P(0). So

$P(0) = 0^4 - 10*0^3 + 28*0^2 - 24*0 = 0$

1 month:

This is P(1). So

$P(1) = 1^4 - 10*1^3 + 28*1^2 - 24*1 = -5$

2 months:

This is P(2). So

$P(2) = 2^4 - 10*2^3 + 28*2^2 - 24*2 = 0$

3 months:

This is P(3). So

$P(3) = 3^4 - 10*3^3 + 28*3^2 - 24*3 = -9$

4 months:

This is P(4). So

$P(4) = 4^4 - 10*4^3 + 28*4^2 - 24*4 = -32$

5 months:

This is P(5). So

$P(5) = 5^4 - 10*5^3 + 28*5^2 - 24*5 = -45$

6 months:

This is P(6). So

$P(6) = 6^4 - 10*6^3 + 28*6^2 - 24*6 = 0$

7 months:

This is `P(7). So

$P(7) = 7^4 - 10*7^3 + 28*7^2 - 24*7 = 175$

After 7 months it shows profit, so it starts showing profit on the 6th month, and thus, the correct answer is given by option D.

For another example of a function involving numeric value, you can check brainly.com/question/24231879

8 0

2 years ago

Find the solution set of this equation.<br> y^2-11y=0 <br> separate the two values with a comma.

Tanya [424]

Answer:

0,11

Step-by-step explanation:

y^2-11y=0

y(y-11)=0 we have transformed the equation into a product

a product can be zero only if one of the factors is 0

so the two solutions are

y=0

and y-11=0 y=11

6 0

3 years ago

What is the answer to 5(6p+5)

AfilCa [17]

Answer:

30p + 25

Step-by-step explanation:

I hope this helps.

3 0

2 years ago

The area of a trapezoid is

horrorfan [7]

Answer:

<h2>The answer is 15cm</h2>

Step-by-step explanation:

Let b be the length of the second parallel side

Area of a trapezium is given by

$A = \frac{1}{2} (a + b)h$

where

h is the height

a and b are the parallel sides

From the question

Area = 230 cm²

height = 20cm

one of parallel side / a = 8 cm

Substitute the values into the above formula and solve for b

That's

$230 = \frac{1}{2} ( 8 + b) 20$

Reduce the fraction with 2

That's

$230 = (8 + b) \times 10$

Expand the terms

That's

$230 = 80 + 10b$

$10b = 230 - 80 \\ 10b = 150$

Divide both sides by 10

We have the final answer as

<h3>b = 15cm</h3>

Hope this helps you

4 0

2 years ago

Statistics is the study of the ________________, __________________, analysis, interpretation and presentation of ______________

Ronch [10]

Answer:

Study of the collection, organization, analysis, interpretation, and presentation of data

Step-by-step explanation:

8 0

3 years ago