The range of a function is the set of all possible outputs.
When the quadratic functions are in standard form, they generally look like this:
If a is positive, the function opens up; if it’s negative, the function opens down. In this form, the y-coordinate of the vertex is found by evaluating f(−
). For example, consider this function:
f(x) = 
So we’re gonna do: −b/2a=−8/2(−2)=−8/−4=2
Then, we plug this in:
a is negative, so the range is all real numbers less than or equal to 5.
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Answer:
Step-by-step explanation:
33/3 = 11
36/3 =13
11 :13
A statistical statement is the one that deals with a group of data that is collected from a population or a sample population.
Here when you look the statements B,C and D, you can see that it mentions a group of people or data like time, number etc.
But the statement A does not deal with the population, but it deals with one single person who won the competition. Hence this is the statement that is not statistical
Answer: Height = 20 inches
Width = 14 inches
Step-by-step explanation:
The aquarium is rectangular. The formula for determining the volume of a rectangular box is expressed as
Volume = LWH
Where L,W and H represents the length, width and height of the box.
The aquarium holding African cichlids is 6 inches higher than it is wide. It means that
H = W + 6
Its length is 33 inches, and its volume is 9240 cubic inches. It means that
9240 = 33W(W + 6)
9240/33 = W(W + 6)
280 = W² + 6W
W² + 6W + (6/2)² = 280 + (6/2)²
(W + 3)² = 280 + 9 = 289
Taking square root of both sides, it becomes
W + 3 = √289 = 17
W = 17 - 3
W = 14
H = W + 6 = 14 + 6
H = 20
