Answer:
Option C (f(x) =
)
Step-by-step explanation:
In this question, the first step is to write the general form of the quadratic equation, which is f(x) =
, where a, b, and c are the arbitrary constants. There are certain characteristics of the values of a, b, and c which determine the nature of the function. If a is a positive coefficient (i.e. if a>0), then the quadratic function is a minimizing function. On the other hand, a is negative (i.e. if a<0), then the quadratic function is a maximizing function. Since the latter condition is required, therefore, the first option (f(x) =
) and the last option (f(x) =
) are incorrect. The features of the values of b are irrelevant in this question, so that will not be discussed here. The value of c is actually the y-intercept of the quadratic equation. Since the y-intercept is 4, the correct choice for this question will be Option C (f(x) =
). In short, Option C fulfills both the criteria of the function which has a maximum and a y-intercept of 4!!!
Answer:
188000
Step-by-step explanation:
V≈1.88×
Answer:

Step-by-step explanation:
The point-slope form of ane equation of a line:

<em>m</em><em> - slope</em>
<em>(x₁, y₁)</em><em> - point on a line</em>
<em />
We have:

y-intercept is for x = 0.
Therefore, if y-intercept = 0, then we have the point (0, 0).

Substitute:

Total number of pieces of paper = 11
Number of pieces with a vowel = 4
Probability of picking a vowel = 4/11 (answer)
Mr. duc asked to set up 450 chairs in a large hall. Perry puts 20 chairs in each row. He has already set up 15 rows of chairs
Each row consists of 20 chairs
He already set up 15 rows
So number of chairs he already set up = chairs in each row * number of rows
20 * 15 = 300
So , he already set up 300 chairs
Total chairs to set up is 450
Remaining chairs to set up = 450 - 300 = 150
So, 150 more chairs to set up