Answer:
A. 30 two-point questions and 10 four-point questions
Step-by-step explanation:
30 multiplied by 2 equals 60
10 multiplied by 4 equals 40
60 plus 40 equals 100 points which is the amount of points the test is worth as stated i the question.
30 plus 10 equals 40, which is the total amount of questions in the test as stated in the question.
Answer:
y = 4 sin( 0.5t -
) - 2
y = a sin ( 2t -
) + 2
Step-by-step explanation:
In the first question,
amplitude = 4
Period = 
phase shift = 
Vertical shift = -2
Angular velocity , w = 
Here, w =
= 0.5
The general equation of a wave is
y = a sin( wt + ∅ )
Putting above values in the equation,
y = 4 sin( 0.5t -
) - 2
In the second question,
Amplitude is not given so we will take it as a.
time period = 
w = 2
Phase shift = 
Vertical shift = 2
The equation is
y = a sin ( 2t -
) + 2
The value of b is -16 and the value of ac is 60 after comparing with the standard equation.
<h3>What is a quadratic equation?</h3>
Any equation of the form
where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:

We have a quadratic function:
= 3x² - 16x + 20
On comparing with standard function:
b = -16
a = 3
c = 20
ac = 3(20) = 60
Thus, the value of b is -16 and the value of ac is 60 after comparing with the standard equation.
Learn more about quadratic equations here:
brainly.com/question/2263981
#SPJ1
Answer:
Mode 66
Step-by-step explanation:
The mode of a data set is the number that occurs most frequently in the set. To easily find the mode, put the numbers in order from least to greatest and count how many times each number occurs. The number that occurs the most is the mode!
F(x)=|x-5|+2
plug it in
so f(3)
f3)=|3-5|+2
solve whats inside first
|-2|+2
since its absolute value its actually positive
2+2
4
Your answer is C.) 4