Charles and Lisa were having a watermelon eating contest. They ate twelve slices of watermelon between the two of them. Lisa ate
2 answers:
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Answer:
There are 25 students in the class.
Step-by-step explanation:
Since we know the percentage of students who want an ice cream party is 20%, and 5 students want an ice cream party, we know that:
, where S is the total amount of students. We can then solve for S:
Given equation
Multiply by S
Divide by 0.2
Therefore, there are 25 students in the class.
Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).
The system of equations that could be graphed to solve the equation given is
Suppose the equation be
Let there is a symbol such that we have
It is because a and b are same measure (that is exactly what a = b means)
and we gave another name c to that measure.
Thus, we have
in addition to
Since the given equation is
The 2d graphs are usually expressed as on X-Y plane.
Taking the equation's expressions equal to y, we get
or, we get system of equations as
Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.
Thus,
The system of equations that could be graphed to solve the equation given is
Learn more about solutions to system of equations here:
