Answer:
![[H^{+} ]= 10^{-pH}](https://tex.z-dn.net/?f=%5BH%5E%7B%2B%7D%20%5D%3D%2010%5E%7B-pH%7D)
Step-by-step explanation:
To solve this question it is important to remember logarithm rules. That is:
![pH = -log[H^{+}]\\\\-pH = log_{10}[H^{+} ]\\\\H^{+}] = 10^{-pH}\\](https://tex.z-dn.net/?f=pH%20%3D%20-log%5BH%5E%7B%2B%7D%5D%5C%5C%5C%5C-pH%20%3D%20log_%7B10%7D%5BH%5E%7B%2B%7D%20%5D%5C%5C%5C%5CH%5E%7B%2B%7D%5D%20%3D%2010%5E%7B-pH%7D%5C%5C)
Answer:
f(1) = 12
Step-by-step explanation:
We know that f(x)=f(x-1)+2x+1
We are told that f(2) = 17
Use the first equation to calculate f(1). Since f(2) is known and f(x-1) will become f(1) after f(2-1) is simplified to f(1).
17 = f(2-1)+2*2+1
f(2-1) = 17 - 5
f(1) = 12
Answer:
Step-by-step explanation:
Let the two consecutive integers be x , x + 1
Product of the two consecutive integers = x * (x+1) = x*x + x*1
= x² + x
sum of two consecutive integers = x + x +1 = 2x +1
x² + x - (2x + 1 ) = 11
x² + x - 2x - 1 = 11
x² - x -1 -11 = 0
x² - x - 12 = 0
x² - 4x + 3x - 12 = 0
x(x-4) + 3(x-4) =0
(x-4) (x +3) = 0
x- 4 = 0 or x + 3 = 0
x = 4 0r x = -3
If x = 4 , the the consecutive numbers are 4 and 5
If x = -3, the consecutive numbers are -3 and -2
Answer:
<h2>D.
or StartFraction x squared + 3 x minus 12 Over (x + 3) (x minus 5) (x + 7) EndFraction</h2>
Step-by-step explanation:
Given the expression 
, the dfference is expressed as follows;
Step1: First we need to factorize the denominator of each function.
Step 2: We will find the LCM of the resulting expression
The final expression gives the difference
