I don’t understand this Help please ASAP!!!
1 answer:
Answer:
Please read explanation below as well.
Step-by-step explanation:
We know the following information:
- The number of T-shirts is represented by the variable . Each T-shirt costs $4. The total cost depending on the number of T-shirts can be represented by
.
- The number of jeans is represented by the variable . Each pair of jeans costs $15. The total cost depending on the number of jeans can be represented by
.
- The stores want to sell more than $800. This idea is represented mathematically by writing .
The total cost of jeans and T-shirts depending on the quantities of each of them is represented as a sum: . This total cost has to be more than $800:
.
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Answer:
We want to find a solution of the system:
x^2 + y^2 > 49
y ≤ –x^2 – 4
Here we do not have any options, so let's try to find a general solution.
First, we can remember that the equation of a circle centered in the point (a, b) and of radius R is:
(x - a)^2 + (y - b)^2 = R^2
If we look at our first inequality, we can write it as:
x^2 + y^2 > 7^2
So the solutions of the first inequality are all the points that are outside (because the symbol used is >) of the circle of radius R = 7 centered in the origin.
From the other equation, we would get:
y ≤ –x^2 – 4
This is parabola, anything that is in the graph of the parabola or below will be a solution for this inequality.
Then the solutions of the system, are the ones that are in the region of solutions for both inequalities.
You can see the graph below, where both regions are graphed. The intersection of these regions is the region of the solutions for the system of inequalities:
by looking at the graph, we can see a lot of points that are solutions, like:
(0, -10)
(0, -15)
(2, -10)
etc.
