Answer:
<h3>c =2</h3>
Step-by-step explanation:
For the polynomial to be divisible by x-4, hence x = 4
Given
p(x) = cx^3-15x -68
p(4) = c4^3-15(4)-68
p(4) = 64c-128
If p(4) = 0
0= 64c - 128
64c = 128
c = 128/64
c = 2
hence the value of c is 2
Answer:
V = 175
Step-by-step explanation:
Look at the attachment
Answer:
s = -4 ± √31
Step-by-step explanation:
Given 4 + 32s = 60
divide by 4 throughout
s = -4 ± √31
Ratio problem:
91 changes = 7 days
----------------- --------
x 11 days
7x = 1001
x = 143
Answer:
Common difference = 11
Second term is -1
fourth term is 21
Step-by-step explanation:
Given:
The given sequence are.
-12, __, 10, __, 32, 43
We need to find common difference and missing terms of the given sequence.
Solution:
The difference between two consecutive number of the sequence is called common difference.
The consecutive number of the given series are 32, 43
So, the common difference is
common difference = 11
Therefore, the common difference of the given series is 11.
Now, we add first term and common difference for the first missing number of the sequence.
= -12 +11
= -1
So, the second term of the given sequence is -1.
Similarly, we add third term and common difference for the fourth missing number of the sequence.
= 10 + 11
= 21
So, the fourth term of the given sequence is 21.
Therefore, the complete sequence is given below.
-12, -1, 10, 21, 32, 43