Suppose you want to represent a triangle with sides 12 feet, 16 feet, and 18 feet on a drawing where 1 inch = 2 feet. How long should the sides of the triangle be in inches?The sides of the triangle on the drawing should be _____.

To generate a point, you plug in a number for x to get the corresponding y value.

If x = 0 for instance, then the y value is...

y = x^2 - 4

y = 0^2 - 4 ... x is replaced with 0

y = 0 - 4

y = -4

So x = 0 and y = -4 pair up to get the point (0,-4). This is the y intercept as the parabola crosses the y axis here. It turns out that this is also the vertex point as it is the lowest point on the parabola.

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If x = 1, then,

y = x^2 - 4

y = 1^2 - 4

y = 1 - 4

y = -3

meaning (x,y) = (1,-3) is another point on this line.

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Repeat for x = 2

y = x^2 - 4

y = 2^2 - 4

y = 4-4

y = 0

Since we got a y output of 0, we have found an x intercept located at (2,0). The other x intercept is (-2,0).

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The idea is to generate as many points as possible. Plot all of the points on the same xy coordinate grid. Then draw a curve through those points the best you can. You should get what you see in the diagram below. I used GeoGebra to make the graph. Desmos is another handy tool I recommend.

Note: the more points you generate, the more accurate the graph will be

The value obtained after the simplification is 35.18.

What exactly is simplification?

Simplifying means making something easier to do or comprehend, as well as making something less difficult.

It simply implies taking something from an entity, a group, a location, etc. The term “subtraction” refers to the act of subtracting something from something else.

The given expression problem is;

= 42.5 − 7.32

= 35.18

Hence the value obtained after the simplification is35.18.

To learn more about the simplification, refer to:

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Answer:

35.18

Step-by-step explanation:

The director's goal is ticket sales of at least $4500. So, the inequality representing the director's goal is:

7.5a + 5s ≥ 4500

The correct option is:

D) 7.5a + 5s ≥ 4500

Let, set up the inequality based on the given information.

Let "a" represent the number of adult tickets sold and "s" represent the number of student tickets sold.

The revenue from adult tickets is given by: 7.5a (as each adult ticket costs $7.50)

The revenue from student tickets is given by: 5s (as each student ticket costs $5.00)

To find the total ticket sales, we add the revenue from adult and student tickets:

Total ticket sales = 7.5a + 5s

Now, the director's goal is ticket sales of at least $4500. So, the inequality representing the director's goal is:

7.5a + 5s ≥ 4500

The correct option is:

D) 7.5a + 5s ≥ 4500

To learn more on inequality click:

brainly.com/question/28841069

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