
b = (a - 3)²
Our aim is to get <u><em>a</em></u> to be alone
1) First we get rid of what's in the brackets. So we subtracts each side by 3. Of course, the opposite of subtracting is adding:
b+3 = a²
2) Now we get rid of the squared in a. Opposite of squaring is square rooting.

3) There we have it. a is now by itself. We can test if we're right by substituting.
Lets make a=2
b=(a-3)²
b= (2-3)²
b= 1
NOW:


Answer:
-9 1/4
Step-by-step explanation:
- 5 3/4 - 3 1/2
= -23/4 - 7/2
= -23/4 - 14/4
= -37/4
= - 9 1/4
This equation uses two properties of logarithms:


So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15
Answer:
B. 550 - 2x > 850 - 6x
Step-by-step explanation:
Answer: 
Step-by-step explanation:
First, we need to find the common denominator
The easiest way to do this is by multiplying the two given denominators, which are 2 and 5.
2 × 5 = 10
So, our common denominator is 10. Then, multiply the numerators of the two fractions by 2 and 5. Here's why:
=
We multiplied the top and bottom by 2 to make sure our new fraction stays equivalent to the original fraction.
Do the same thing for the other one:
= 
Finally, subtract the two fractions to find the difference between the two times:
= 
The reason we used the common denominator is because we can only add or subtract fractions if they have the same denominator.