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tiny-mole [99]
1 year ago
13

Find a solution to the linear equation −2x−2y=8 by filling in the boxes with a valid value of x and y.Provide your answer below:

−2( )−2(. )=8
Mathematics
1 answer:
inna [77]1 year ago
6 0

Given

-2x-2y=8

To find a solution for the linear equation, the first step is to write the equation in slope-intercept form:

-Pass the x-term to the right side of the equation by applying the opposite operation to both sides of the equal sign:

\begin{gathered} -2x+2x-2y=8+2x \\ -2y=2x+8 \end{gathered}

-Divide both sides by -2:

\begin{gathered} \frac{-2y}{-2}=\frac{2x}{-2}+\frac{8}{-2} \\ y=-x-4 \end{gathered}

Once you have expressed the equation of the line in slope-intercept form, replace it with any value for x and calculate the corresponding value of y, for example, x=2

\begin{gathered} y=-(2)-4 \\ y=-2-4 \\ y=-6 \end{gathered}

One solution for the linear equation is x=2 and y=-6, you can check the solution by replacing the values on the original equation, with both values the result should be 8:

\begin{gathered} -2x-2y \\ -2\cdot2-2\cdot(-6) \\ -4+12=8 \end{gathered}

As you can see the values are a valid solution for the linear equation.

So the solution is:

-2(2)-2(-6)=8

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Answer:

The amount we have to deposit in a savings account x = $ 17777.78

Step-by-step explanation:

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R = 2.5 %

Time = 5 years

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S.I. = \frac{P (2.5)(5)}{100}

S.I. = \frac{x}{8}   ------- (1)

We know hat total amount is given by

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This is the amount we have to deposit in a savings account.

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4 0
2 years ago
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The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
jarptica [38.1K]

Answer:

P(x)=-5x^3-40x^2-45x+90

Step-by-step explanation:

<u>Equation of a Polynomial</u>

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

P(x)=a(x-x1)(x-x2)(x-x3)

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We know the three roots of the polynomial -6, -3, and 1, thus:

P(x)=a(x+6)(x+3)(x-1)

Since the y-intercept of the polynomial is y=90 when x=0:

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The polynomial is:

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We must write it in standard form, so we have to multiply all of the factors as follows:

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\boxed{P(x)=-5x^3-40x^2-45x+90}

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Answer:

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Step-by-step explanation:

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