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3 years ago

8

Can someone please assist me on this problem, any help would be appreciated.

1 answer:

sashaice [31]3 years ago

3 0

Answer:

11x^2 -4x + 3

Step-by-step explanation:

(x^2-5x+7)+(10x^2+x-4)

= x^2-5x+7+10x^2+x-4

= 11x^2 -4x + 3

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What two rational expressions sum to 2x+3/x^2-5x+4

Anni [7]

Answer:

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

Step-by-step explanation:

Given the rational expression: $\frac{2x + 3}{x^2 - 5x + 4}$ , to express this in simplified form, we would need to apply the concept of partial fraction.

Step 1: factorise the denominator

$x^2 - 5x + 4$

$x^2 - 4x - x + 4$

$(x^2 - 4x) - (x + 4)$

$x(x - 4) - 1(x - 4)$

$(x- 1)(x - 4)$

Thus, we now have: $\frac{2x + 3}{(x- 1)(x - 4)}$

Step 2: Apply the concept of Partial Fraction

Let,

$\frac{2x + 3}{(x- 1)(x - 4)}$ = $\frac{A}{x- 1} + \frac{B}{x - 4}$

Multiply both sides by (x - 1)(x - 4)

$\frac{2x + 3}{(x- 1)(x - 4)} * (x - 1)(x - 4)$ = $(\frac{A}{x- 1} + \frac{B}{x - 4}) * (x - 1)(x - 4)$

$2x + 3 = A(x - 4) + B(x - 1)$

Step 3:

Substituting x = 4 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(4) + 3 = A(4 - 4) + B(4 - 1)$

$8 + 3 = A(0) + B(3)$

$11 = 3B$

$\frac{11}{3} = B$

$B = \frac{11}{3}$

Substituting x = 1 in $2x + 3 = A(x - 4) + B(x - 1)$

$2(1) + 3 = A(1 - 4) + B(1 - 1)$

$2 + 3 = A(-3) + B(0)$

$5 = -3A$

$\frac{5}{-3} = \frac{-3A}{-3}$

$A = -\frac{5}{3}$

Step 4: Plug in the values of A and B into the original equation in step 2

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{A}{x- 1} + \frac{B}{x - 4}$

$\frac{2x + 3}{(x- 1)(x - 4)} = \frac{-5}{3(x- 1)} + \frac{11}{3(x - 4)}$

7 0

3 years ago

Dose anyone know this answer?

LiRa [457]

So I can show you on a piece of paper

It’s reflections
Hope this helps *smiles*

3 0

3 years ago

Transform the equation to isolate x: ax = bx 1. How is the value of x related to the difference of a and b?

cestrela7 [59]

Answer:

The value of x is reciprocal of the difference of a and b.

Step-by-step explanation:

We are given the equation, $ax=bx+1$

On simplifying, we get,

$ax=bx+1$

i.e. $ax-bx=1$

i.e. $(a-b)x=1$

i.e. $x=\frac{1}{a-b}$

So, we get,

The value of x is $\frac{1}{a-b}$ .

That is, the value of x is reciprocal of the difference of a and b.

5 0

3 years ago

Read 2 more answers

5 divided by 275? Somebody help

Fantom [35]

$5\sqrt{275} 

55$

7 0

3 years ago

Read 2 more answers

Pls help me. 6th grade math due in 20 mins

Lana71 [14]

Answer:

1: 16

2: 27

4: 100

7: 1.728

10: 64

Just some of the answers

Step-by-step explanation:

8 0

3 years ago