How many possible rock paper scissors games are there?
1 answer:
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Answer:
Graph the equation is shown below.
Step-by-step explanation:
The linear equation representing the relation between cost of ordering a pizza and the number of additional toppings is:
Here,
<em>y </em>= cost of the pizza
<em>x</em> = number of toppings
The graph of the linear equation is shown below.
Consider the point (2, 10.25).
When <em>x</em> = 2 compute the value of <em>y</em> as follows:
The point (2, 10.25) satisfies the equation.
Again consider a point (18, 18.25).
When <em>x</em> = 18 compute the value of <em>y</em> as follows:
The point (18, 18.25) satisfies the equation.
The two points are also plotted on the graph.
Answer:
1250
Step-by-step explanation:
We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.
Let the length of the rectangle be 'X' feet and width be 'Y' feet.
As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.
As, X + 2Y = 100 → X = 100 - 2Y
Now, the area of the rectangle = XY = X × ( 100 - 2Y ).
i.e Area of the rectangle = .
The general form of a quadratic equation is .
The maximum value of a quadratic equation is given by .
Therefore, the greatest value of is at Y =
=
= 25.
Thus, Y = 25 and X = 100 - 2Y → X = 100 - 2 × 25 → X = 50.
Hence, the area of the rectangle is XY = 50 × 25 = 1250 .