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2 years ago

What's the y-intercept of the equation: 5x+2y=20A. (4,0)B. (5,0)C. (0,2)D. (0,10)

1 answer:

4 0

Answer: D. (0,10)

Why:
Your given equation is 5x+2y=20, so in order to find the y-intercept, we must put it in slope-intercept form, a.k.a. y=max+b.

To do this, subtract 5x from both sides. This will then give you 2y=-5x+20.

And to fully simply, divide both sides by 2. Finally, you get y=(-5/2)x+10. And since we know b in slope-intercept form is the y-intercept, and 10 is b in our final function/equation. We get the answer of y-intercept=(0,10)

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What is -3(-6+8)^3-2(1-3)^3

marin [14]

Assignment: $\bold{Solve \ Equation: \ -3\left(-6+8\right)^3-2\left(1-3\right)^3}$

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Answer: $\boxed{\bold{-8}}$

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Explanation: $\downarrow\downarrow\downarrow$

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[ Step One ] Follow PEMDAS Order Of Operations; Calculate Within Parenthesis

Note: $\bold{PEMDAS: \ Parenthesis, \ Exponents, \ Multiply, \ Divide, \ Add, \ Subtract}$

$\bold{-6+8: \ 2}$

[ Step Two ] Rewrite Equation

$\bold{-3\cdot \:2^3-2\left(1-3\right)^3}$

[ Step Three ] Calculate Within Parenthesis

$\bold{1-3: \ -2}$

[ Step Four ] Rewrite Equation

$\bold{-3\cdot \:2^3-2\left(-2\right)^3}$

[ Step Five ] Calculate Exponents

$\bold{2^3: \ 8}$

[ Step Six ] Rewrite Equation

$\bold{-3\cdot \:8-2\left(-8\right)}$

[ Step Seven ] Multiply

$\bold{2\left(-8\right): \ -16}$

[ Step Eight ] Rewrite Equation

$\bold{-24-\left(-16\right)}$

[ Step Nine ] Subtract

$\bold{-24-\left(-16\right): \ -8}$

[ Step Ten ] Rewrite Equation

$\bold{-8}$

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$\bold{\rightarrow Mordancy \leftarrow}$

8 0

3 years ago

If you were to solve the following system by substitution, what would be the best variable to solve for and from what equation?

zepelin [54]

Honestly this problem you can use both x and y but x tends to be the easier one to use and i would use the first equation because it is easier to solve because all the numbers are even.<span />

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3 years ago

How to factor that polynomial

professor190 [17]

<h3><u>(1 + 5y)(1 - 5y) is the fully factored form of this polynomial.</u></h3>

This polynomial can be factored using difference of squares.

This polynomial is in the form of a^2 - b^2 = (a + b)(a - b)

Because 1 * 1 = 1, we can use this formula to simplify this polynomial.

1 - 25y^2 = (1 + 5y)(1 - 5y)

We can use FOIL to verify this.

(1 + 5y)(1 - 5y)

1 - 5y + 5y - 25y^2

1 - 25y^2

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2 years ago

2. f(x) = 3(x - 2)2 + 6<br>a. Standard Form:

Alexandra [31]

Answer:

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Step-by-step explanation:

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3 years ago

What is the value of the expression?

mr Goodwill [35]

Answer: B.792

Step-by-step explanation:

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2 years ago

What's the y-intercept of the equation: 5x+2y=20A. (4,0)B. (5,0)C. (0,2)D. (0,10)​

What's the y-intercept of the equation: 5x+2y=20A. (4,0)B. (5,0)C. (0,2)D. (0,10)