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4 years ago

9

Report your TWO scores for The Property of Numbers and Number Sets in fractional form.

1 answer:

dangina [55]4 years ago

3 0

Finding the mean, also known as averaging numbers, is a very useful thing to know how to do, especially when you need a precise estimate or a very accurate generalization. Means and medians are not exact numbers; however, they are based on a series of exact numbers, therefore they are precise. Finding the mean (average) is used most often when figuring out students’ grades, the price of an item, and other things such as the daily temperature. Median is used to find the mid-section of a group of numbers, and mode is used to find the most popular term of the series (the number that appears the most often).

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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

What is the coefficient in the following expression: 5 + 3x + (-3) A) 5 B) 3 C) x D) -3

Crazy boy [7]

Answer:

B) 3

Step-by-step explanation:

<u><em>If it was right please mark me brainleist.</em></u>

6 0

2 years ago

G(x) = -3x + 1 <br><br> solve for x (which is 22)

olga2289 [7]

Answer:

-65

Step-by-step explanation:

6 0

3 years ago

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Write an explicit formula for each arithmetic sequence.

elena-s [515]

Answer:

E

Step-by-step explanation:

E

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3 years ago

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Find the slope of the line (-5,7) (-3,4)(-1,1)(1,-2)

Hitman42 [59]

Answer:

-3 is the gradient.

BONUS: y-interspet is -1

Step-by-step explanation:

The gradient is what you mean by slope I am guessing?

7 0

3 years ago

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