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Gnesinka [82]
3 years ago
14

Help please thank you!

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
6 0

Answer:

g(f(x)) = x

Yes, the functions are inverses.

Step-by-step explanation:

Hi there!

We're given:

f(x) = 8x-7

g(x)=\displaystyle\frac{x+7}{8}

To solve for g(f(x)), plug f(x) into g(x) as x:

g(f(x))=\displaystyle\frac{(8x-7)+7}{8}\\\\g(f(x))=\displaystyle\frac{8x-7+7}{8}\\\\g(f(x))=\displaystyle\frac{8x}{8}\\\\g(f(x))=x

Because g(f(x)) = x, the two functions are inverses.

I hope this helps!

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A combined total of 39000 is invested in two bonds that pay 5% and 6.5% simple interest. The annual interest is 235500 how much
dolphi86 [110]

Answer:

$12000 at 5%

$27000 at 6.5%.

Step-by-step explanation:

Let x represent amount invested at 5% and y represent amount invested at 6.5%.

We have been given that a combined total of 39000 is invested in two bonds. We can represent this information in an equation as:

x+y=39000...(1)

We are also told that the annual interest rate is 2355.00. We can represent this information in an equation as:

0.05x+0.065y=2355...(2)

Upon substituting equation (1) in equation (2), we will get:

0.05x+0.065(39000-x)=2355

0.05x+2535-0.065x=2355

-0.015x+2535=2355

-0.015x=2355-2535

-0.015x=-180

\frac{-0.015x}{-0.015}=\frac{-180}{-0.015}

x=12000

Therefore, an amount of $12,000 is invested at 5%.

Upon substituting x=12000 in equation (1), we will get:

12000+y=39000

y=39000-12000

y=27000

Therefore, an amount of $27,000 is invested at 6.5%.

4 0
3 years ago
If 1/3 is 0.333 then 3/3 is 0.999 that means 1 doesnt actually equal 1​
sergejj [24]

Answer:

Correct

Step-by-step explanation:

When you type 1/3 into a calculator it should give you something along the lines of .333333334. If you continue to round, eventually you will get 1.

7 0
3 years ago
Read 2 more answers
gallons of water can fill a pool that is 50 yards by 20 yards and is 9 feet deep? (Assume 7 1/2 gallons per cubic foot.)
saul85 [17]
L = 50 yards or 150 feet W = 20 yards or 60 feet H = 9 feet V = 150 * 60 * 9 V = 81000 cubic feet then multiply the volume, 81000, by  7.5, or 607,500 gallons.
hope i helped  
6 0
3 years ago
Find tsa of cylinder whose height is 7cm and radios 4cm.​
ki77a [65]

Answer:

Answer

Let height =h

Total surface area=2πr(r+h)

r=7cm

⇒968=2×  

7

22

​  

×7(7+h)

⇒  

44

968

​  

=7+h

⇒h+7=22

⇒h=22−7

=15cm.

Step-by-step explanation:

6 0
3 years ago
12 and 13? I need help please!
ludmilkaskok [199]
I think 12 might be the second one, I'm not sure though!
4 0
4 years ago
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