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2 years ago

15

What is the slope represented in the table ?

1 answer:

Natasha_Volkova [10]2 years ago

4 0

Answer:

slope:2

Step-by-step explanation:

Slope is rise/run, or change in y/change in x.

With that being said, we only need two points to solve this.

Let's take the points (0,7) and (1,9)

The formula for finding the slope from two points is m=(y2-y1)/(x2-x1).

M is the slope.

y2 would be the y-value of the second point,9. y1 would be the y-value of the first point, 7.

x2 would be the x-value of the second point, 1. x1 would be the x-value of the first point, 0.

Plugging those values in to the formula, we get m=(9-7)/(1-0)

Simplifying, we get m=2/1, which is m=2.

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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

What is 47/50 as a percent

VMariaS [17]

94%

47/50 × 100 = 47 ×2 = 94 %

5 0

2 years ago

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(This is very confusing)Tania planted five seeds in her garden nadia planted times as many seeds as Tania how many seeds did nad

Fittoniya [83]

There's a number missing from the question. It's supposed to be right before the word "times".
If it were there, the answer would be (5 times that number).
The way the question is written, without that number, there's no answer.

5 0

3 years ago

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Which function is graphed?

Hitman42 [59]

Answer: D

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5 0

3 years ago

PLEASE HURRY AND HELP ...

Nonamiya [84]

Answer:

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Step-by-step explanation:

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8 0

3 years ago