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2 years ago

7

Guys please help me out I hate gradpoint so much

2 answers:

Artist 52 [7]2 years ago

8 0

Answer:

1 + 1 - 1 + 1 - 0 x 0

Mars2501 [29]2 years ago

8 0

Answer:

-3.5 < -3 $\frac{1}{4}$

Step-by-step explanation:

Convert 1/4 into a decimal (.25)

-3 1/4 = -3.25

-3.5 < -3.25

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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

2 years ago

How do you do 4x - 9 = 6x - 13? what do you subtract from both sides?

ohaa [14]

To start, you need to subtract 4x from both sides, that way, x is one one sid of the equation.

8 0

3 years ago

Read 2 more answers

janice wants to jog 3.25 miles on the treadmill she has jogged 1.63 miles how much farther does she have to jog to meet her goal

Mumz [18]

$3.25 - 1.63 = 1.62$
1.62 miles to go to reach her goal.

4 0

2 years ago

At 10 am a 6-foot- tall man casts a 4.5 foot shadow. How long a shadow cast by a 50-foot tree?

vaieri [72.5K]

6 foot makes 4.5 foot shadow
1 foot makes=4.5/6
so 50 foot =4.5/6*50 = tree makes 37.5 foot shadow

4 0

2 years ago

The effect of wearing different types of running shoes on the time it takes to complete a race is being studied in experiment. w

lana [24]

Answer:

A. Weather conditions

Step-by-step explanation:

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2 years ago