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2 years ago

Rewrite the equation in slope-intercept form. x=4y+2

Mathematics

2 answers:

Dafna1 [17]2 years ago

7 0

Answer:

y = x/4 - 1/2

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Write equation

x = 4y + 2

Step 2: Subtract 2 on both sides

x - 2 = 4y

Step 3: Divide both sides by 4

x/4 - 1/2 = y

serious [3.7K]2 years ago

3 0

Answer:

$y=\frac{1}{4} x-\frac{1}{2}$

Step-by-step explanation:

To get slope-intercept form (y=mx+b), you have to solve this equation for y by using inverse operations. First, we can subtract by 2 on both sides to eliminate the +2 on the right side. This results in x-2=4y. To get y by itself, we can divide by 4 on both sides. This becomes (x-2)/4=y. To make this in slope-intercept form, we have to separate the terms into x/4 and -2/4. This is (x/4)+(-2/4)=y. We can reduce the second fraction to -1/2 and rewrite x/4 as 1/4x. The equation is y=1/4x-1/2.

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The x intercepts of the function f(x) = 2x(x-5)^2(x+4)^3 are…

Leokris [45]

Answer:

$\boxed{\sf x- intercepts = 0 , 5 \ and \ -4}$

Step-by-step explanation:

A function is given to us and we need to find the x Intercepts of the graph of the given function . The function is ,

$\sf \implies f(x) = 2x( x - 5 ) ^2(x+4)^3$

For finding the x intercept , equate the given function with 0, we have ;

$\sf \implies 2x ( x - 5 )^2(x+4)^3= 0$

Equate each factor with 0 ,

$\sf \implies 2x = 0$

Divide both sides by 2 ,

$\sf \implies\bf x = 0$

Again ,

$\sf \implies ( x - 5)^2=0$

Taking squareroot on both sides,

$\sf \implies x - 5 = 0$

Add 5 to both sides,

$\sf \implies \bf x = 5$

Similarly ,

$\sf \implies \bf x = -4$

Hence the x Intercepts are -4 , 0 and 5 .

{ See attachment also for graph } .

3 0

2 years ago

What is an equation of the line that passes through the point (−3,−1) and is perpendicular to the line x-2y=6?

gogolik [260]

Answer:

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Step-by-step explanation:

rearrange the equation to make y the sof

y = 1/2x - 3

to find gradient of perpendicular line

1/2 ÷ ( - 1 )

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5 0

2 years ago

Expand (x^2-3/2)^9 using binomial process

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Use the Binomial expansion theorem to find and simplify each term.

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8 0

3 years ago

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storchak [24]

Answer:

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Step-by-step explanation:

use variables for the vans and buses

let x= vans and y=buses

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remember to number your equations

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