A stereo normally priced at $399 is on sale for 15% off. Find the discount and the sale price.

1 answer:

5 0

Answer
Discount:$59.85
Sales price:$339.15

Multiply$399 by 15% or 0.15 to get the discount of 59.85 and subtract 399 by discount to get sales price.

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

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Answer: (-2, 5) and (2, -3)

<u>Step-by-step explanation:</u>

Graph the line y = -2x + 1 (which is in y = mx + b format) by plotting the y-intercept (b = 1) on the y-axis and then using the slope (m = -2) to plot the second point by going down 2 and right 1 unit from the first point:

y - intercept = (0, 1) 2nd point = ( -1, 1).

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$y = x^2-2x-3\quad \rightarrow \quad a=1,\ b=-2,\ c=-3\\\\\text{axis of symmetry:}\ x = \dfrac{-b}{2a}\ \longrightarrow \ x=\dfrac{-(-2)}{2(1)}=\dfrac{2}{2}=1\\\\\text{y-value of vertex:}\ f(1) = (1)^2-2(1)-3\quad \longrightarrow \quad y = 1 - 2 - 3=-4\\\\\text{y-intercept:}\ f(0)= (0)^2-2(0)-3\ \longrightarrow \ y=0 - 0 - 3 = -3 \\$

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<em>see attached</em> - the graphs intersect at two points: (-2, 5) and (2, -3)

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Lesechka [4]

There's not much math work here, they just want you to eyeball the graph and give the closest grid point to where the two lines meet.

Let's translate the question.

Solution to the system

That's the x and y values where the two lines cross. That's because the meeting point is the value of x and y that satisfies both equations.

Approximation ... to the nearest integer values

Where two integer grid lines cross is called a lattice point. It's a point with integer coordinates. Our solution, the meet of these two lines, doesn't fall exactly on a lattice point. The nearest integer values means the closest lattice point to our intersection of lines.

Eyeballing the graph, I'd say (x,y)=(2,3) is the closest point.

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