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2 years ago

Write in slope intercept form an equation of the line that passes through the given points. (-1,7) , (3,-1)

Mathematics

1 answer:

Tcecarenko [31]2 years ago

6 0

Answer! :

y = -2x + 5

Step by Step! :

slope intercept form:

y = mx + b

m being slope, b being the y intercept.

To find the slope, use this equation:

y^2 - y^1 / x^2 - x^1

Plug in your points.

(-1) - (7) / (3) - (-1)

-8 / 4

-2 is your slope! (y = -2x + b)

To solve for b, plug in any one of your points and solve for b. Let's use (3, -1)

-1 = -2(3) + b

-1 = -6 + b

5 = b

Your new equation is...

y = -2x + 5

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What is true of the function g(x)=-2x^2+5?

mart [117]

Answer:

C) The variable x represents the independent variable.

Step-by-step explanation:

The given function is $g(x)=-2x^2+5$ .

g(x) is NOT the multiplication of g and x because g is a function of x.

$x$ is the input of the function.

$-2x^2+5$ is the output of the function.

The variable $x$ is called the independent variable because we plug in values of x to find g.

The variable g represents the output of the function NOT the input.

The correct choice is C

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3 years ago

Prove the trigonometric identity!<br><br> Please help!! 50 Points!

Rudiy27

Answer:

Step-by-step explanation:

For simplicity I will substitue $x$ for β.

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In the first step I used the identity

$sin(2x)=2sin(x)cos(x)$

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Then it's just simple algebra to cancel till the 3rd step where we used another identity derived from the Pythagorean Theorem.

$cos^2(x)+sin^2(x)=1$

That's it!

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2 years ago

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Answer:

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Step-by-step explanation:

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If it's in the ten's place, then move it to the hundred's place value.

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Step-by-step explanation:

You can use online calculators for this like symbolab.com for steps! Here is your specific question answered with steps: https://www.symbolab.com/solver/step-by-step/%206%20%E2%88%92%203%5E%7B3%7D%20%5Cdiv%5Cleft(2%5E%7B2%7D%20%2B%205%5Cright)%20

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