Plz help me I’ll give brainliest

Which sum is equal to the expression - 5x3 + 2x2 + 9x+2/ (x²+ 2)²

Makovka662 [10]

Answer:

Option C

Step-by-step explanation:

Given expression is $\frac{-5x^3+2x^2+9x+2}{(x^2+2)^2}$

Option A

$\frac{A}{x^2+2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{A(x^2+2)}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{Ax^2+2A+Bx+C}{(x^2+2)^2}$

Numerator is a quadratic polynomial, while the expression has the numerator as a cubic .

Therefore, both the expressions are not equivalent.

Option B

$\frac{A}{(x^2+2)^2}+ \frac{Bx+C}{(x^2+2)^2}$

= $\frac{A+Bx+C}{(x^2+2)^2}$

Here, numerator of the expression is a linear polynomial which is not equal to given expression.

Therefore, both the expressions are not equivalent.

Option C

$\frac{Ax+B}{(x^2+2)}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{(Ax+B)(x^2+2)}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{Ax^3+Bx^2+2Ax+2B+Cx+D}{(x^2+2)^2}$

= $\frac{Ax^3+Bx^2+x(2A+C)+D}{(x^2+2)^2}$

Here, numerator is a cubic polynomial.

Therefore, both the expressions are equivalent.

Option D

$\frac{Ax+B}{(x^2+2)^2}+ \frac{Cx+D}{(x^2+2)^2}$

= $\frac{x(A+C)+(B+D)}{(x^2+2)^2}$

Numerator is a linear polynomial.

Therefore, sum is not equal to the given expression.

Option C will be the answer.

3 0

3 years ago

An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows

Vlada [557]

Here we are required to determine the initial monthly fee charged by the electric company.

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

where m = slope of the relation.

and c = intercept = the initial fee charged by the electric company.

y = Monthly charge at each time.

x = Usage

To find the slope;

m = (y2 - y1)/(X2 - x1)

m = (28 -22)/(150 - 100)

m = 6/50

m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

82 = 0.12(600) + c.

C = 82 -72

C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

Read more:

brainly.com/question/22163485

8 0

3 years ago

I need help with this. I'll mark brainliest to whoever is correct

zaharov [31]

Answer:

As shown in picture, the area is divided into 4 parts: 3 triangles and 1 rectangles.

Total area:

A = smallest triangle + medium triangle + largest triangle + rectangle

= 2 x 2 x 1/2 + 2 x 6 x 1/2 + 4 x (2 + 2 + 6) x 1/2 + 2 x 2

= 2 + 6 + 20 + 4

= 32

Hope this helps!

:)

8 0

3 years ago

A layaway plan is similar to an installment plan

mote1985 [20]

Answer:

but,

Step-by-step explanation:

the customer does not receive the merchandise until it is paid for .it is held in the store for a free.

8 0

4 years ago

What is the value of x? Enter your answer in the box. x = in.

mr_godi [17]

Answer:

The answer is 24

I found this answer because the smaller triangles base is 5

and the bigger triangle is 15

5x3 = 15

8x3 = 24

7 0

4 years ago