Answer:
Option 4 is correct.
Step-by-step explanation
Here the first term is 8 so the first term is given by f(1) = 8
Since here the given series is arithmetic series and here common difference is given by 5-8 = -3
Recurrence relation is given by f(n+1) - f(n) = d
where d is common difference which is given to be -3 .
therefore it is given as
f(n+1) -f(n) = -3
f(n+1) = f(n) -3 [ adding f(n) both sides]
Since n is starting from 1 there for its fourth option is correct
f(1) =8 and , f(n+1) = f(n) -3 ) , for n ≥1
Answer: 21
Step-by-step explanation:
Given : The scores on the midterm exam are normally distributed with
Let X be random variable that represents the score of the students.
z-score: 
For x=82
For x=90
Now, the probability of the students in the class receive a score between 82 and 90 ( by using standard normal distribution table ) :-
Now ,the number of students expected to receive a score between 82 and 90 are :-
Hence, 21 students are expected to receive a score between 82 and 90 .
The type of transformation that preserves the symmetry of an even function f(x) but does not preserve the symmetry of an odd function g(x) is vertical translation.
<h3>
What is vertical translation?</h3>
Vertical translation of a graph is done by moving the base graph up or down in the y-axis direction. Each point on a graph is moved k units vertically to translate the graph by that many units.
The vertical translation is the movement of the curve along the y-axis by a certain number of units without altering the function's shape or domain.
The function's form is preserved in the case of vertical translation.
Learn more about Vertical Translation here:
brainly.com/question/4397823
#SPJ4
Answer:
(-6,8)
Step-by-step explanation:
2x + 9y = 60
-9x + y = 62 --> y = 9x + 62 --> 2x + 9(9x + 62) = 60 -->
2x+ 81x + 558 = 60 -->
83x + 558 = 60 -->
83x = -498 -->
x = -6 -->
y = 9(-6) + 62 -->
y = 8
6/7 would be tan A
hope this helps
