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DerKrebs [107]
3 years ago
9

Given f(x)=4x^2+6x and g(x)=2x^2+13x+15, find (f/g)(x). Show your work.

Mathematics
1 answer:
Svet_ta [14]3 years ago
3 0
(f/g)(x)= (4x^2+6x)/(2x^2+13x+15)

first simplify expression and write 13x as a sum to make easier factorization

(4x^2+6x)/(2x^2+10x+3x+15)

then factorize numerator and denominator
 
(2x(2x+3))/(2x(x+5) + 3(x+5))

rewrite and factor out denominator
(2x(2x+3))/((2x+3)(x+5))

reduce fraction
2x/(x+5)
hope that help you out

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damaskus [11]

y= 4 hope this helps :)


8 0
3 years ago
Write the equation that passes through the following points:<br><br> (5,0) and (−10,−5)
Vikentia [17]

Answer:

The answer is:

y =  \frac{1}{3} x -  \frac{5}{3}

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

y = mx + b

❃Incase you also forgot, The is what the slope formula is ☟

m = \frac{y_2 - y_1 }{x_2 - x_1}

➊ First: We are going to be solving for the slope.

m = \frac{  - 5 - 0}{ - 10 - 5} = \frac{ - 5}{  - 15} =  \frac{1}{3}

➋Second: We find the y-intercept.

y = mx + b \\ 0 =  \frac{1}{3} (5) + b \\ 0 =  \frac{5}{3}  + b \\ \frac{  -   \frac{5}{3}  =  -  \frac{5}{3 }   \:  \:  \:  \:  \:  \:  \: \: \: \: \: \: }{  -  \frac{5}{3}  = b}

➌Third: Plug in.

y =  \frac{1}{3} x -  \frac{5}{3}

4 0
3 years ago
Alan just got a Fall job. The equation P = 12.50h represents the salary P (in dollars) he will earn when he works h hours. How m
balandron [24]

Given:

Alan salary P (in dollars) when he works h hours is represented by the equation

P=12.50h

To find:

The earning per hour.

Solution:

We have,

P=12.50h

Here, P is total salary and h is number of hours he works.

\text{Earning per hour}= \dfrac{\text{Total salary}}{\text{Number of hours}}

\text{Earning per hour}= \dfrac{12.50h}{h}

\text{Earning per hour}=12.50

Therefore, the earning per hour is $12.50.

8 0
3 years ago
What is a good anime to watch​
DaniilM [7]

Answer:

My hero acadamia. I didnt spell that right. Its on hulu.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help Need help
Anettt [7]
This problem can be readily solved if we are familiar with the point-slope form of straight lines:
y-y0=m(x-x0) ...................................(1)
where 
m=slope of line
(x0,y0) is a point through which the line passes.

We know that the line passes through A(3,-6), B(1,2)

All options have a slope of -4, so that should not be a problem.  In fact, if we check the slope=(yb-ya)/(xb-xa), we do find that the slope m=-4.

So we can check which line passes through which point:

a. y+6=-4(x-3)
Rearrange to the form of equation (1) above,
y-(-6)=-4(x-3)  means that line passes through A(3,-6) => ok

b. y-1=-4(x-2) means line passes through (2,1), which is neither A nor B
   ****** this equation is not the line passing through A & B *****

c. y=-4x+6  subtract 2 from both sides (to make the y-coordinate 2)
   y-2 = -4x+4, rearrange
   y-2 = -4(x-1)  
   which means that it passes through B(1,2), so ok

d. y-2=-4(x-1)
   this is the same as the previous equation, so it passes through B(1,2), 
   this equation is ok.

Answer: the equation y-1=-4(x-2) does NOT pass through both A and B.
   
8 0
2 years ago
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