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3 years ago

Which increase faster, f(x)=5x or g(x)=5^x

Mathematics

1 answer:

hichkok12 [17]3 years ago

5 0

g(x) = 5^x is your answer

Plug in increasing numbers for x to get the output.

For example: when x = 1

f(1) = 5(1) = 5

g(1) = 5^(1) = 5

when x = 2

f(2)= 5(2) = 10

g(2) = 5^(2) = 25

when x = 3

f(3) = 5(3) = 15

g(3) = 5^(3) = 125

From the example above, we see that g(x) = 5^x is your answer

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A professor has recorded exam grades for 10 students in his class, but one of the grades is no longer readable. If the mean sco

Nostrana [21]

Answer:

unreadable score = 35

Step-by-step explanation:

We are trying to find the score of one exam that is no longer readable, let's give that score the name "x". we can also give the addition of the rest of 9 readable s scores the letter "R".

There are two things we know, and for which we are going to create equations containing the unknowns "x", and "R":

1) The mean score of ALL exams (including the unreadable one) is 80

so the equation to represent this statement is:

mean of ALL exams = 80

By writing the mean of ALL scores (as the total of all scores added including "x") we can re-write the equation as:

$\frac{R+x}{10} =80$

since the mean is the addition of all values divided the total number of exams.

in a similar way we can write what the mean of just the readable exams is:

$\frac{R}{9} = 85\\$ (notice that this time we don't include the grade x in the addition, and we divide by 9 instead of 10 because only 9 exams are being considered for this mean.

Based on the equation above, we can find what "R" is by multiplying both sides by 9:

$\frac{R}{9} = 85\\R=85*9= 765$

Therefore we can now use this value of R in the very first equation we created, and solve for "x":

$\frac{R+x}{10} =80\\\frac{765+x}{10} =80\\765+x=80*10=800\\765+x=800\\x=800-765=35$

4 0

2 years ago

The company makes a profit of 15% on every faucet sold. What is the profit on one shower faucet ?

Rama09 [41]

Answer:

Hi there!

Your answer is:

D: 18.00$

Step-by-step explanation:

First, we plug in all the numbers under the columns "Kitchen Sink", "Bathroom Sink" and "Shower" in our matrix calculator as A. Then, we plug in all the numbers under "Total Selling Price" in our matrix calc as B. Then, we perform the equation A^-1 * B. We will look to the 3rd row for this, since shower is our "z" and the third row represents z

Since profit is determined by .15 * 120, we calculate this. Your answer is 18.

Hope This Helps

<u>Edge Tested & Approved</u>

8 0

2 years ago

What is the period of the function y=3/2con(3/5x)+5

jeyben [28]

Answer:

$y = \frac{3}{2} cot( \frac{3x}{5} ) + 5 \\ \\ \pi \div \frac{3}{5} \\ \ \\ = \frac{5\pi}{3} is \: period$

6 0

2 years ago

The value of a painting recently sold at an auction is expected to increase in value over time. The function v(t)=12,000(1.15)^t

tensa zangetsu [6.8K]

This is an exponential equation with a starting value of 12000 and an increase of 15% each years.

The following are true:

C. Each year, it increases by 15%

E. The painting's value was 12,000 at the time is was sold.

8 0

2 years ago

Can someone please help me please

Anarel [89]

Answer:

it's answer is C. 12/10 = 4 / x

Step-by-step explanation:

As the triangles are similar so

4/12 = x/10

Or cross multiply then

12/10 = 4/x

Hope it will help :)

3 0

2 years ago