All categories

3 years ago

If f(x)= x+7 and g(x)=1/x , what is (f*g)(x) please help quic

Mathematics

1 answer:

Vika [28.1K]3 years ago

7 0

1/x + 7

-1/x = 7

-1/x times x = 7

-1 = 7x

-1 =

You might be interested in

Tom's school report must be more than 12 pages, he writes at the rate of a half a page a day.

soldi70 [24.7K]

Answer:

24 days (or more)

Step-by-step explanation:

I assume you want to figure out how long it will take Tom to write the minimum amount of pages for his school report at that rate?

Since Tom writes 1/2 a page a day and he must write 12 or more pages, then it will take him 2 days to write one page, thus, 24 days to write 12 pages.

Therefore, Tom needs at least 24 days to write his school report.

3 0

2 years ago

Read 2 more answers

How do I solve x+4y=22<br> -x+5y=23

xxTIMURxx [149]

{ x + 4y = 22 ( + x - x = 0 )
{ - x + 5y = 23

4y + 5y = 22 + 23
9y = 45
y =<u> 45 </u>
9
y = 5

x + 4y = 22
x + 4 . 5 = 22
x + 20 = 22
x = 22 - 20
x = 2

S = { 2 , 5 }

3 0

3 years ago

Read 2 more answers

Use the exponential decay model, Upper A equals Upper A 0 e Superscript kt, to solve the following. The half-life of a certai

Akimi4 [234]

Answer:

It will take 7 years ( approx )

Step-by-step explanation:

Given equation that shows the amount of the substance after t years,

$A=A_0 e^{kt}$

Where,

$A_0$ = Initial amount of the substance,

If the half life of the substance is 19 years,

Then if t = 19, amount of the substance = $\frac{A_0}{2}$ ,

i.e.

$\frac{A_0}{2}=A_0 e^{19k}$

$\frac{1}{2} = e^{19k}$

$0.5 = e^{19k}$

Taking ln both sides,

$\ln(0.5) = \ln(e^{19k})$

$\ln(0.5) = 19k$

$\implies k = \frac{\ln(0.5)}{19}\approx -0.03648$

Now, if the substance to decay to 78% of its original amount,

Then $A=78\% \text{ of }A_0 =\frac{78A_0}{100}=0.78 A_0$

$0.78 A_0=A_0 e^{-0.03648t}$

$0.78 = e^{-0.03648t}$

Again taking ln both sides,

$\ln(0.78) = -0.03648t$

$-0.24846=-0.03648t$

$\implies t = \frac{0.24846}{0.03648}=6.81085\approx 7$

Hence, approximately the substance would be 78% of its initial value after 7 years.

5 0

3 years ago

The area of a circular garden is 4,225 T square feet. Rick wants to find the diameter of the garden. What is the diameter of

ankoles [38]

Answer:

D. 130 feet

Step-by-step explanation:

The area of a circular garden is 4,225 π square feet

The area of a circle is computed as follows:

Area of a circle = π*D²/4

where D refers to the diameter

Replacing with data:

4,225 π = π*D²/4

4,225 π/π *4 = D²

√16900 = D

130 ft = D

5 0

3 years ago

1.4+u/8=-11.4 solve for U

lara31 [8.8K]

$1.4+\dfrac{u}{8}=-11.4\ \ \ \ |\text{subtract 1.4 from both sides}\\\\\dfrac{u}{8}=-12.8\ \ \ \ |\text{multiply both sides by 8}\\\\\boxed{u=-102.4}$

8 0

3 years ago