Mathematics: What is y+1 = 4(x - 1) in slope-intercept form? A. y+ 1 = 4x - 4 B. -4x+y=5 C. y = 4x-5 D. 4x- y=-5

What is y+1 = 4(x - 1) in slope-intercept form?

Ответ:

emilylittle2442

06.02.2022

Mathematics

C. y = 4x-5

Step-by-step explanation:

Slope-intercept form : y=mx+b

y+1 = 4(x - 1)

Expand :

$4(x-1) =4x -4\\\\y+1 =4x-4$

Collect like terms and simplify

$y=4x -4-1\\\\y=4x -5$

0,0(0 оценок)

Ответ:

bessieyounger1211

31.01.2021

Mathematics

You clear fractions by the usual method: multiply by the least common denominator.

Step-by-step explanation:

The denominators of the three fractions are ...

x² -x -2 = (x -2)(x +1)x +14

The "least common denominator" is the least common multiple of these expressions, which will be the product that contains all of the unique factors: 4(x -2)(x +1). This is what the equation is multiplied by in order to clear fractions.

$\dfrac{x+3}{x^2-x-2}+\dfrac{x}{x+1}=\dfrac{9}{4}\\\\\dfrac{(x+3)(4)(x-2)(x+1)}{(x-2)(x+1)}+\dfrac{x(4)(x-2)(x+1)}{(x+1)}=\dfrac{9(4)(x-2)(x+1)}{4}\\\\4(x+3)+4x(x-2)=9(x-2)(x+1) \qquad\text{your first form with fractions cleared}\\\\4x+12+4x^2-8x=9x^2-9x-18 \qquad\text{eliminate parentheses}\\\\5x^2-5x-30=0 \qquad\text{subtract the terms on the left}\\\\x^2-x-6=0 \qquad\text{divide by 5}\\\\(x-3)(x+2)=0 \qquad\text{factor}$

The solutions are x=-2, x=3.

_____

When we say "multiply" or "subtract" or "divide", we mean do it to both sides of the equation. Anything you do to an equation must be done to both sides in order to maintain the truth of the equal sign.

0,0(0 оценок)

What is y+1 = 4(x - 1) in slope-intercept form? A. y+ 1 = 4x - 4
B. -4x+y=5
C. y = 4x-5
D. 4x- y=-5

Ответ:

Ответ:

Ответ:

Ask your question to the AI advisor

More tips

Answers on questions: Mathematics

Ask an AI advisor a question