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3 years ago

Write an equation in slope intercept form for the line that passes through (2,4) , x axis

Mathematics

1 answer:

Kisachek [45]3 years ago

5 0

Answer:

Step-by-step explanation:

A line parallel to the x-axis is a horizontal line. A horizontal line will be in the form y = a constant. Since this line must pass through the point (4, 2), then the equation of the line is y = 2.

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What is y + 10 = -3(x + 10) in slope-intercept form?

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3 years ago

One factor of the polynomial 6x3 − x2 + 8x + 5 is (2x + 1). What is the other factor of the polynomial? (Note: Use long division

maria [59]

Answer:

(3x^2 - 2x + 5)

Step-by-step explanation:

3x^2 - 2x + 5

$2x + 1 \sqrt{6 {x}^{3} - {x}^{2} + 8x + 5 }$

- (6x^3 + 3x^2)

-4x^2 +8x +5

- (-4x^2 - 2x)

10x + 5

-(10x + 5)

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Therefore the other factor of the polynomial is (3x^2 - 2x + 5)

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What is the equation when y=5x+4 is reflected over the x-axis, y-axis & y=x?

tigry1 [53]

Answer:

A) $y=-5x-4$

B) $y=-5x+4$

C) $y=\frac{x-4}{5}$

Step-by-step explanation:

So we have the equation:

$y=5x+4$

Let's write this in function notation. Thus:

$y=f(x)=5x+4$

To flip a function over the x-axis, multiply the function by -1. Thus:

$f(x)=5x+4\\-(f(x))=-(5x+4)$

Simplify:

$-f(x)=-5x-4$

B) To flip a function over the y-axis, change the variable x to -x. Thus:

$f(x)=5x+4\\f(-x)=5(-x)+4$

Simplify:

$f(-x)=-5x+4$

C) A reflection over the line y=x is synonymous with finding the inverse of the function.

To find the inverse, switch x and f(x) and solve for f(x):

$f(x)=5x+4$

Switch:

$x=5f^{-1}(x)+4$

Subtract 4 from both sides:

$x-4=5f^{-1}(x)$

Divide both sides by 5:

$f^{-1}(x)=\frac{x-4}{5}$

And we're done :)

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