Given:
The function is

To find:
The zeros of the given function.
Solution:
The general form of polynomial is
...(i)
where, a is a constant,
are zeros of respective multiplicities
.
We have,

On comparing this with (i), we get


It means, -3 is a zero with multiplicity 2 and 5 is a zero with multiplicity 6.
Therefore, the correct option is B.
Answer:
So, when we solve for x we see that we can make 16 cookies using 1 cup of sugar. Then, yes, as you suggested we could divide 30 cookies by this ratio to see that we need less than 2 cups of sugar to make 30 cookies: And, as you said, this value is less than 2 cups, the value under Quantity B. Good job! I hope this helps :)
Step-by-step explanation:
Answer:
d. converges, -25
Step-by-step explanation:
An infinite geometric series converges if the absolute value of the common ratio is less than 1.
Here, the common ratio is 4/5:
| 4/5 | = 4/5 < 1
So the series converges. The sum of an infinite geometric series is:
S = a₁ / (1 − r)
where a₁ is the first term and r is the common ratio.
Here, a₁ = -5 and r = 4/5:
S = -5 / (1 − 4/5)
S = -25
Answer: E. none of the above
Step-by-step explanation:
The given data values that represents the population:
2, 6, 3, and 1.
Number of values : n=4
Mean of the data values = 

Sum of the squares of the difference between each values and the mean =



Now , Variance = (Sum of the squares of the difference between each values and the mean ) ÷ (n)
= (14) ÷ (4)= 3.5
Hence, the variance is 3.5.
Therefore , the correct answer is "E. none of the above".
Answer:
Ann sold 124 bottles of drinks in the morning
Step-by-step explanation:
Let
x ---> bottles sold in the afternoon
y ---> bottles sold in the morning
we know that
Ann sold 314 bottles of drinks a day
so
-----> equation A
She sold 66 bottles more in the afternoon than in the morning
so
----> equation B
substitute equation B in equation A

solve for y

therefore
Ann sold 124 bottles of drinks in the morning