12^1/2(2^1/2+3^1/2)(2^1/2-3^1/2)

If f ( x ) = 2x + 2 and g ( 1 ) = 3x – 1, find (f/g) (2)

schepotkina [342]

Answer:

6/5 or 1.2

Step-by-step explanation:

Given functions:

f (x) = 2x + 2
g (x) = 3x – 1

To find:

(f/g) (2)

Solution

(f/g)(x) = f(x)/g(x) = (2x + 2) / (3x - 1)
(f/g)(2) = (2*2 + 2) / (3*2 - 1) = 6/5 = 1.2

6 0

3 years ago

Read 2 more answers

Hey school earn $70 from selling 50 tickets for the school play each ticket cost the same price how much does the school earn fo

sammy [17]

Answer:Well, divide 50 from 70 to get your answer and if you want you can double check your work but whatever your answer is after you divide is your answer (mine was 1.4). Sorry my typing might sound weird or I got the wrong answer I am just tired.

Step-by-step explanation:

5 0

3 years ago

Zahra compares two wireless data plans. Which equation gives the correct value of n, the number of GB, for which Plans A and B c

Elden [556K]

The equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

To determine which equation gives the correct value of n, the number of GB, for which Plans A and B cost the same, we will first solve the equations.

For the first equation

8n = 20 + 6n

Collect like terms

8n - 6n = 20

2n = 20

Then, n = 20 ÷ 2

n = 10 GB

For Plan A

No initial fee and $8 for each GB

Here, 10GB will cost 10 × $8 = $80

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 10GB will cost $20 + (8 × $6) = $20 + $48 = $68

∴ Plans A and B do not cost the same here.

For the second equation

8n = 20(2n) + 6

First, clear the bracket

8n = 40n + 6

Now, collect like terms

40n - 8n = 6

42n = 6

∴ n = 6 ÷ 42

n = 1/7 GB

For Plan A

No initial fee and $8 for each GB

Here, 1/7GB will cost 1/7 × $8 = $1.14

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 1/7GB will cost $20 (Since the lowest cost is $20)

∴ Plans A and B do not cost the same here.

For the third equation

8n = 20 + 6(n-2)

First, clear the brackets

8n = 20 + 6n - 12

Now, collect like terms

8n - 6n = 20 - 12

2n = 8

n = 8 ÷ 2

n = 4 GB

For Plan A

No initial fee and $8 for each GB

Here, 4GB will cost 4× $8 = $32

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, 4GB will cost $20 + (2 × $6) = $20 + $12 = $32

Plans A and B do not cost the same here.

∴ Plans A and B do cost the same here

For the fourth equation

8n = 20 + 2n + 6

Collect like terms

8n - 2n = 20 + 6

6n = 26

n = $\frac{26}{6}$

n = $\frac{13}{3}$ GB or $4\frac{1}{3}$ GB

For Plan A

No initial fee and $8 for each GB

Here, $\frac{13}{3}$ GB will cost $\frac{13}{3}$ × $8 = $34.67

For Plan B

$20 for the first 2GB and $6 for each additional GB after the first 2

Here, $4\frac{1}{3}$ GB will cost $20 + ( $2\frac{1}{3}$ × $6) = $20 + $14 = $34

∴ Plans A and B do not cost the same here.

Hence, the equation which gives the correct value of n, the number of GB, for which Plans A and B cost the same is 8n = 20 + 6(n-2)

Learn more here: brainly.com/question/9371507

6 0

2 years ago

A population of 1200 rabbits increases by 2.5% each year. At the end of 5 years, there will be approximately 1,358 rabbits in th

Murrr4er [49]

Answer: y= 1200 (1.025)^t

Step-by-step explanation:

Hi, to answer this question we have to apply an exponential growth function:

A = P (1 + r) t

Where:

p = original population

r = growing rate (decimal form)

t= years

A = population after t years

Replacing with the values given:

1200= 1200 (1+ 2.5/100)^5

1200= 1200 (1+ 0.025)^5

1200= 1200 (1.025)^5

For the number of rabbits, y, at the end of t years

y= 1200 (1.025)^t

Feel free to ask for more if needed or if you did not understand something.

4 0

3 years ago

Please help. I’ll mark you as brainliest if correct! Thank you

Olin [163]

Answer:

8 pounds of cheaper candy,

17.5 pounds of expensive candy

Step-by-step explanation:

Let's define some variables. Let's say the amount of pounds of candy that sells for $2.20/lb is x, and the $7.30 is y. Now we can write some equations!

x + y = 25.5

$\frac{2.2x + 7.3y}{25.5} = 5.7$

We can start substitution. We can say that x = 25.5 - y. Plugging this into our second equation, we get:

y = 17.5

Plugging this in, we find that:

x = 8.

5 0

3 years ago