Write a real world situation that would representby the system y=3x +20 and y=5x + 10

1 answer:

4 0

There are 2 car rental companies
the first one charges 3 dollars per day you drive plus a 20 dollar insurance fee

the second one charges 5 dollars per day and a 10 dollar insurance fee
y=cost
x=days

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A line has y intercept -6 and a x-intercept - 12. what is the equation of the line

koban [17]

Answer:

$\boxed{y = -\dfrac{1}{2}x-6}}$

Step-by-step explanation:

The equation for a straight line is

y = mx + b

where m is the slope of the line and b is the y-intercept.

The line passes through the points (-12, 0) and (0, 6)

(a) Calculate the slope of the line

$\begin{array}{rcl}m & =&\dfrac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\ & = &\dfrac{6 - 0 }{0 - (-12)}\\\\& = &\dfrac{6}{-12}\\\\& = & -\dfrac{1}{2}\\\end{array}$

(b) Write the equation

The y-intercept is at x = -6.

$\text{The equation for the line is $\boxed{\mathbf{y = -\dfrac{1}{2}x-6}}$}$

The diagram shows the graph of the line passing through the two intercepts.

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3 years ago

Solve each of the following inequalities for x. a. 3+x>8

Leni [432]

Answer:

x > 5

Step-by-step explanation:

3+x>8

Subtract 3 from each side

3-3+x>8-3

x > 5

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3 years ago

What is the greatest common factor of 200 and 140

Tanzania [10]

$200|2 \\ 100|2 \\ 50 \ |2 \\ 25 \ |5 \\ 5 \ \ |5 \\ 1 \\\\200=2^3*5^2 \\\\ 140|2 \\70 \ |2 \\ 35 \ |5 \\ 7 \ \ |7 \\1 \\\\ 140=2^2*5*7 \\\\ G.C.F(200;140)=2^2*5=20$