<h2>
Answer:</h2>
The total number of different arrangements of 7 letters that are possible if the first letter will be w or k is:
617,831,552
<h2>
Step-by-step explanation:</h2>
The number of different arrangements of 7 letters can be formed if the first letter must be w or k such that the repetition of the letters are allowed are:
2×26×26×26×26×26×26
( Since, at the first place any of the 2 letter out of w or k could come up.
and from the second to seventh place any of the 26 letters of the English alphabet may come up )
Hence, total number of arrangements = 617,831,552
The answer is table C
For anything to be a function, it cannot have two pairs as my teacher taught me!
For example, let’s take the number 4
Let’s say 4 can take a friend to the fair!
4 decided to take 5 (4,5)
4 CANNOT take anyone else but 5
4 is allowed to take as many 5’s as they want but cannot take any other number
Let’s set up a table
X. Y
4. 5
4. 5
4. 5
This is a function
If the table changed:
X. Y.
4. 5
4. 5
4. 6
This will not be a function
I hope this helps!
Answer:
The polynomial will be 
.
Step-by-step explanation:
The three degree polynomial function f(x) has zeros at x = 0 and at x = 4 having multiplicity 2.
Therefore, (x - 0) and (x - 4)² will be factors of the polynomial f(x).
Hence, the polynomial will be f(x) = Ax(x - 4)² .............. (1), where A is any constant that we have to evaluate.
Now, given that f(5) = 20
So, from the equation (1) we have
20 = A(5)(5 - 2)²
⇒ 
Therefore, the polynomial will be (Answer)
SOLUTION
The question simply means that we should find the sum to infinity of the geometric series.
The formula of sum to infinity of a geometric serie is given by
Where
So, this becomes
Therefore, option b is the correct answer
Answer:
∠y = 62.5°
∠x = 27.5°
Step-by-step explanation:
z is right angle. ∠z = 90°
∠x = ∠y - 35
∠x + ∠y + ∠z = 180 {Angle sum property of triangle}
y - 35 + y + 90 = 180
y + y - 35 + 90 = 180 {Combine like terms}
2y + 55 = 180
2y = 180 -55 {Subtract 55 from both sides}
2y = 125 {Divide both sides by 2}
y = 125 /2
∠y = 62.5°
∠x = 62.5 - 35 = 27.5°
