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tatyana61 [14]
4 years ago
13

Consider the function f(x)=−2/3x+1.

Mathematics
1 answer:
Otrada [13]4 years ago
5 0

Answer:

f(3)=-1

Step-by-step explanation:

Given equation is:-

f(x)=-\frac{2}{3}x+1

To find f(3) we need to substitute 3 in place of x in the above equation i.e. f(x)=-\frac{2}{3} x+1

After substituting 3 in place of x we get,

f(3)=-\frac{2}{3}\times (3)+1

f(3)=-2+1

f(3)=-1

Therefore for function f(x)=-\frac{2}{3}x+1,\   f(3)=-1

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If a home goods retailer pays $35.50 for the vacuum cleaner shown here, answer the following questions. (Round dollars to the ne
Marianna [84]

The Markup percentage is mathematically given as

M=42%

<h3>What is Mark up percentage?</h3>

The markup % may be determined by dividing the gross profit of a unit (the difference between its sales price and the amount it cost to create or buy for resale) by the amount that unit originally cost. If a product sells for $12 but only costs the corporation $8 to produce it, the markup percentage for that product is 50%, which can be calculated as (12 - 8) divided by 8.

Generally, the equation for is Total cost price mathematically given as

TCP= Pay+insurance

Therefore

TCP=35.5*1.6

TCP=284/5

Generally, the equation for is Total selling price mathematically given as

TSP=89.99+7.99

TSP=97.98

In conclusion, Mark up percentage is

M=\frac{SP-CP}{SP}*100\\\\

M= \frac {97.98 - (284/5) }{97.98}   *100

M=0.4202898551*100

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Read more about Mark up a percentage

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3 0
2 years ago
Guys help me to solve these questions please​
Monica [59]
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4 years ago
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it took 3/4 of a minute to fill a barrel 1/6 full of water if the water continues at the same rate, how long, in minutes will it
Montano1993 [528]

Answer:

We conclude that it would take 4.5 minutes to fill the full barrel.

Step-by-step explanation:

It is stated that it took 3/4 of a minute to fill a barrel 1/6 full of water.

  • It means if it took 0.75 minutes to fill the 1 part out of 6 parts.

It is conditioned that the water continues at the same rate.

so

Total parts of a barrel = 6

It takes 0.75 minutes to fill the 1 part of a barrel

Thus, multiply 0.75 by 6 will determine the total time in minutes to fill all the 6 parts of a barrel (or a full barrel).

i.e.

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7 0
3 years ago
Line AB and line BC form a right angle at point B. If A = (-3, -1) and B + (4, 4), what is the equation of line BC?
Andrej [43]

Answer:

C.) -7x - 5y = -48

Step-by-step explanation:

slope AB = (y2 - y1)/(x2-x1)

= {4-(-1)}/{4-(-3)} = 4+1/4+3 = 5/7

slope of BC = -1 ÷ 5/7 = -1 × 7/5 = -7/5

taking -7x - 5y = -48

-5y = 7x -48

y = 7x/-5 - 48

y = -7/5x -48

7 0
4 years ago
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