Hello from MrBillDoesMath!
Answer:
x = 2 and 10
Discussion:
Approach 1:
20 = (-10)*(-2) and (-10) + (-2) = -12 the coefficients of the polynomial. Hence
x^2 -12x + 20 = ( x- 2) * ( x-10)
Approach 2:
From the quadratic formula ( a = 1, b = -12, c = 20)
x = ( -(-12) +\- sqrt( ((-12)^2 - 4*1*20) ) / (2 * 1)
= ( 12 +\- sqrt( 144-80) ) /2
= (12 +\- sqrt(64) ) /2
= (12 +\- 8 ) /2
x = ( 12 + 8) /2 = 20/2 = 10
or
x = ( 12 - 8)/ 2 = 4/2 = 2
Thank you,
MrB
Answer:
cool.
Step-by-step explanation:
Answer:
(a)4
Step-by-step explanation:
First you would distribute the 2 within the parentheses and it becomes 14n-46 <= 14-16n. Then you would find the smallest coeficent and do the inverse operation so you would have to add 16n to 14n and get 30n. Your equation is now 30n-46<=14. Now you want to isolate the variable by doing the inverse operation of -46. You would then add 46 to positive 14 and get 60. Your eqaution now is 30n<=60. Your last step is to divide 30 on each side which leaves you with n<=2.
2 is less than or equal to 2
-2 is less than or equal to 2
-4 is less than or equal to 2
4 is NOT less than or equal to 2 it is GREATER
Hopefully, that helps.
Given:
The logarithmic expression is:
To find:
The equivalent expression of given expression by using change-of-base formula.
Solution:
The change-of-base formula is:
The given expression is:
Using the change-of-base formula, we get
Where, is a constant and c>0.
Let 
, then
Therefore, the correct option is a.
