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Yuki888 [10]
3 years ago
10

Let f(x)=3x and g(x)=x^2+5. Perform function operation g(x)/f(x). State the domain.

Mathematics
1 answer:
tangare [24]3 years ago
3 0
We have that

<span>f(x)=3x
g(x)=x</span>²<span>+5
</span>g(x)/f(x)=[x²+5]/[3x]

<span>that new function will exist for all real numbers except the value of zero, value for which it becomes indefinite
</span>
the domain is the interval (-∞,0) U (0,∞)

using a graph tool
see the attached figure

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Please answer and show a little work
Pavlova-9 [17]

1 kilometer = 1000 meters

3 kilometers would be 3000 meters

Divide total meters by number of parcels:

3000 / 10 = 300

The answer is 300 meters

5 0
3 years ago
A coin bank has 250 coins dimes and quarters worth 39.25 how many of each type of coins are there?
Maurinko [17]
Set up a system of equations.

0.10d + 0.25q = 39.25
d + q = 250

Where 'd' represents the number of dimes, and 'q' represents the number of quarters.

d + q = 250

Subtract 'q' to both sides:

d = -q + 250

Plug in '-q + 250' for 'd' in the 1st equation:

0.10(-q + 250) + 0.25q = 39.25

Distribute 0.10:

-0.10q + 25 + 0.25q = 39.25

Combine like terms:

0.15q + 25 = 39.25

Subtract 25 to both sides:

0.15q = 14.25

Divide 0.15 to both sides:

q = 95

Now plug this into any of the two equations to find 'd':

d + q = 250

d + 95 = 250

Subtract 95 to both sides:

d = 155

So there are 95 quarters and 155 dimes.
8 0
3 years ago
Read 2 more answers
Someone pls help me!! thank you!!
romanna [79]

Final Answer is 4.5

= 4.5hours more time was used on games than on research.

6 0
3 years ago
If f(x)=8x and g(x)=2x+1, what is (f×g)(x)
Sav [38]

Answer:

(f * g)(x) has a final product of 16x² + 8x.

Step-by-step explanation:

When you see (f * g)(x), this means that we are going to be multiply f(x) and g(x) together.

<em>f(x)=8x</em>

<em>g(x)=2x+1</em>

Now, we multiply these terms together.

(8x)(2x + 1)

Use the foil method to multiply.

16x² + 8x

So, the product of these terms is 16x² + 8x.

5 0
2 years ago
Please help me thanks
BabaBlast [244]

Answer:

16.7

Step-by-step explanation:

We can use the Pythagorean theorem, a^2 + b^2 = c^2.

a = 11

c = 20

11^2 + b^2 = 20^2

121 + b^2 = 400

b^2 = 279

b = sqrt(279) = 16.7

5 0
3 years ago
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