All categories

3 years ago

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

1 answer:

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

You might be interested in

Ons: Practice

Sedaia [141]

Answer:

$x = 18$

Step-by-step explanation:

Given

$\frac{x}{6} - 7 = -4$

Required

Solve for x

$\frac{x}{6} - 7 = -4$

Add 7 to both sides

$\frac{x}{6} - 7+7 = -4+7$

$\frac{x}{6} = -4+7$

$\frac{x}{6} = 3$

Multiply through by 6

$6 * \frac{x}{6} = 3 * 6$

$x = 3 * 6$

$x = 18$

7 0

2 years ago

PLEASE HELP ME ASAP!!!!!!<br><br><br><br> ty :)

Drupady [299]

Answer:

B should be the answer but it could but C

3 0

2 years ago

Select the correct answer.

bezimeni [28]

I think it would be A

5 0

3 years ago

the classroom has four desks in each row there are five rows how many decks five rows how many desks are in the classroom

RUDIKE [14]

5 rows x 4 in each = 20 chairs in the classroom

3 0

3 years ago

Evaluate the function requested. Write your answer as a fraction in lowest terms. Find sin A.

Dima020 [189]

Answer: 4 / 5

Explanation:

1) For a right triangle, the ratio sine is defined as:

sin(x) = opposite-leg / hypotenuse

2) x is the angle. In this case: A

3) As per the figure, the opposite leg to tha angle A measures 28

4) As per the figure, the hypotenuse measures 35

5) Calculations:

sin(A) = 28 / 35

Simplify dividing both numerator and denominator by 7 => 28/35 = 4/5

6 0

3 years ago