Answer:
2 5/9 is less than 21/3; 2 5/9 < 21/3
Step-by-step explanation:
<u>Step 1: Convert 2 5/9 into an improper fraction</u>
2 5/9 = 2 * 9/9 + 5/9 = 18/9 + 5/9 = 23/9
<u>Step 2: Convert 21/3 so the denominator is 9</u>
21*3 / 3*3 = 63/9
<u>Step 3: Compare</u>
<em>23/9 < 63/9</em>
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Answer: 2 5/9 is less than 21/3; 2 5/9 < 21/3
An applicable equation of a vertical parabola in vertex form is:
y-k = a(x-h)^2
Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex. Then,
4-(-1) = a(2-[-1])^2, which becomes 5 = a(9). Therefore, a = 5/9, and the
equation of the parabola is
y+1 = (5/9)(x+1)
Answer:
7 1/2y +2
Step-by-step explanation:
Answer:
The maximum value of the equation is 1 less than the maximum value of the graph
Step-by-step explanation:
We have the equation
.
We can know that this graph will have a maximum value as this is a negative parabola.
In order to find the maximum value, we can use the equation 
In our given equation:
a=-1
b=4
c=-8
Now we can plug in these values to the equation

Now we can plug the x value where the maximum occurs to find the max value of the equation

This means that the maximum of this equation is -4.
The maximum of the graph is shown to be -3
This means that the maximum value of the equation is 1 less than the maximum value of the graph