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erastovalidia [21]
2 years ago
10

A woman bought a dress at a discount of 16 2/3%. If the woman paid $32.50, what was the original price of the dress?

Mathematics
1 answer:
Ostrovityanka [42]2 years ago
3 0

Answer:

$39

Step-by-step explanation:

Let original price be x, so we need to subtract 16 2/3 % from that to get 32.50

So we can write:

100x-16\frac{2}{3}x=3250\\83\frac{1}{3}x=3250\\x=39

So basically, the original price was $39.

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The intercepts of the graph are:

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y-axis interception: \left(0,\:-9\right).

See the graph of the function f(x)=x^3+x^2-9x-9  in the attached image.

<h3>Constructing a graph</h3>

For constructing a graph we have the following steps:

  • Determine the range of values for x of your graph.

For this exercise, for example, we can define a range -4<x<4.  In others words, the values of x will be in this interval.

  • Determine the points

Replace these x-values in the given equation. For example:

When x=-4, we will have: \left(-4\right)^3+\left(-4\right)^2-9\left(-4\right)-9=-21.  Do this for the all x-values of your ranges.

See the results for this step in the attached table.

  • Draw the graph

Mark the points <u>x</u> and<u> y</u> that you found in the last step. After that, connect the dots to draw the graph.

The attached image shows the graph for the given function.

<h3>Find the x- and y-intercepts</h3>

The intercepts are points that crosses the axes of your plot. From your graph is possible to see:

x-axis interception points (y=f(x)=0)  are: \left(-1,\:0\right),\:\left(-3,\:0\right),\:\left(3,\:0\right).

y-axis interception point (x=0) is: \left(0,\:-9\right).

Learn more about intercepts of the graph here:

brainly.com/question/4504979

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2 years ago
The half-life of a radioactive kind of iodine is 60 days. How much will be left after 240 days, if you start with 480 grams of i
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