Log16 4 = 2
log base 16 then the number four then set that equal to 2
Answer:
Given expression is,
9(x+3) = 108
In solving the equation the steps are as follows,
Step 1 : 9x + 27 = 108 ( By distributive property )
Step 2 : 9x = 81 ( Subtracting 108 on both sides )
Step 3 : x = 9 ( Divide both sides by 9)
Hence, by the above explanation we can drag the steps of solution in correct order.
Answer:
The check digit is 7.
Step-by-step explanation:
Check digit can be calculated by the following way:
- Add all the digits except the check digit that is the last digit on the right side.
Total = 0 + 2 + 4 + 6 + 7 + 9 + 3 + 6 + 1 + 6 + 3
Total = 47
- Add the digits at odd starting from left, double this amount and finally add it with the total from step 1.
= 0 + 4 + 7 + 3 + 1 + 3
Sum = 18
Doubling the sum = 36
Adding it with the total from step 1, we get
Total = 36 + 47
Total = 83
- Subtract the last digit of the total from step 2 with 10, and this will be check digit.
Check Digit = 10 - 3
Check Digit = 7
Step-by-step explanation:
Here, f(x) is the given polynomial.
By remainder Theorem,
When divided by (3x-1),
f(1/3) = -3........(1)
When divided by (x+1),
f(-1) = -7.........(2)
<em>Another</em><em> </em><em>polynomial</em><em> </em><em>is</em><em> </em><em>3</em><em>x</em><em>²</em><em>+</em><em>2</em><em>x</em><em>-</em><em>1</em>
Solving,
3x²+2x-1
= 3x²+3x-x-1
=3x(x+1)-(x+1)
=(3x-1)(x+1)
So
f(x) = (3x-1)(x+1)Qx + (ax+b)
For f(-1),
-7 = -a+b
b= a-7
For f(1/3),
-3 = a/3+b
or, -3 = a/3+a-7
or, 4×3 = 4a
or a = 3
Also, b = 3-7 =-4
Hence, remainder is (3x-4)
