2 years ago

What is the slope of the like that passes through the points (1,7) and (-4, -8)?

Mathematics

1 answer:

Lera25 [3.4K]2 years ago

6 0

The slope of the line would be 3

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Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

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2 years ago

rick earns $8.50 per hour at his mother office. He plans on working 12.5 hours this week. How much money will rick earn?

marusya05 [52]

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3 years ago

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Which can be used to expand the expression below?

KiRa [710]

Answer:

Distributive Property

Step-by-step explanation:

We have

5(3x - 6/7)

Distributive Property would work because 5 has to be mutliplied by 3x and -6/7 to rid the parenthesis and also give a final answer for the equation. Any others will lead to a wrong answer.

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Solve pls. dont mind the one i circled ! ty!!!

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Answer:

The answer is B.

Step-by-step explanation:

If this is wrong im very very sorry!

A brainlist would be appreciated! I'm almost an expert!

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2 years ago

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3 years ago