Answer: See the graph attached.
Step-by-step explanation:
The standard form of a quadratic function is:
Where (h,k) is the vertex of the parabola.
If 
is negative, then the parabola opens down.
Then, for the function:
You can identify:
Then the vertex of the parabola is at (2,4)
Note that 
, therefore the parabola opens down.
Find the intersection with the x-axis. Substitute 
and solve for x:
Knowing that the vertex is at (2,4), the parabola opens down and it intersects the x-axis at x=0 and x=4, you can graph the function, as you observe in the figure attached.
Can you explain more please
Answer:
113.04 cm²
Step-by-step explanation:
area of a circle= πr²
= 3.14 x 6²
=3.14 x 36
= 113.04 cm²
<h3>
Answer: Choice B</h3>
The set notation includes all values from -5 to 0, but the domain only includes the integer values
eg: something like -1.2 is in the second set, but it is not in the set {-5,-4,-3,-2,-1}
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Further explanation:
Let's go through the answer choices one by one
- A. This is false because 0 does not come before -5, but instead -5 is listed first. The order -5,-4,-3,-2,-1,0 is correct meaning that
is the correct order as well. - B. This is true. A value like x = -1.2 is in the set
since -1.2 is between -5 and 0; but -1.2 is not in the set {-5, -4, -3, -2, -1, 0}. So the distinction is that we're either considering integers only or all real numbers in this interval. To ensure that we only look at integers, the student would have to write 
. The portion 
means "x is in the set of integers". The Z refers to the German word Zahlen, which translates to "numbers". - C. This is false. The student used the correct inequality signs to indicate x is -5 or larger and also 0 or smaller; basically x is between -5 and 0 inclusive of both endpoints. The "or equal to" portions indicate we are keeping the endpoints and not excluding them.
- D. This is false. Writing
would not make any sense. This is because that compound inequality breaks down into 
. Try to think of a number that is both smaller than -5 AND also larger than 0. It can't be done. No such number exists.
17 hundreds
1 ten
8 ones
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17 hundreds
18 ones
