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 and the last option 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. In short, Option C fulfills both the criteria of the function which has a maximum and a y-intercept of 4!!!
Answer:
√(2 + √3)/4
Step-by-step explanation:
Sine 5π/12 = Sine (5π/6)/2
Recall
π = 180°
Thus,
Sine (5π/6)/2 = Sine (5×180 /6)/2
= Sine 150/2
Recall
Sine θ/2 = √(1 – Cos θ)/2
Thus,
Sine 150/2 = √(1 – Cos 150)/2
But, Cosine is negative in the 2nd quadrant. Thus,
Cos 150 = – Cos 30 = –√3/2
Thus,
√(1 – Cos 150)/2 = √(1 – –√3/2 )/2
= √(1 + √3/2 )/2
= √[(2 + √3)/2 ÷ 2]
= √[(2 + √3)/2 × 1/2]
= √(2 + √3)/4
Therefore,
Sine 5π/12 = √(2 + √3)/4
Answer:
The answer is 4,277,241
Step-by-step explanation:
I subtracted 283,651 from 4560892.
To know whether the shape is the pre-image or the resulting shape, we need to look at its name.
In this instance, the name of the pre-image is GHIJ.
The resulting name of the shape would be G'H'I'J'.
An apostrophe is placed after every letter to signify that it is the resulting coordinate of the original.
Unit rate. are you in virtual school cause I can help you with this