Answer:
6x² + 5x - 2 = 0
Step-by-step explanation:
Given
2x² - 5x - 6 = 0 ← in standard form
with a = 2, b = - 5, c = - 6, then
sum of roots α + β = -
= 
product of roots =
= - 3, then
sum of new roots =
+ 
= 
=
= - 
product of new roots =
× 
=
= - 
Hence the required equation is
x² +
x -
= 0 or
6x² + 5x - 2 = 0 ( multiplying through by 6 )
Using the quotient rule
f'(x) = x * 1/x - ln x 1 - ln x
----------------- = --------- <-------- ur answer
x^2 x^2
So he's mixing:
1 gallon 2 quarts 3 pints of orange juice
1 gallon 3 quarts 7 pints of pineapple juice and
1 gallon 3
<span>
quarts 3 pints of ginger ale
that's:
3 gallons 8 quarts and 13 pints.
2 pints make a quart, so 13 pints make 6 quarts and 1 pint, so actually it's:
</span><span>3 gallons 8+6=14 quarts and 1 pint.
4 quarts are a gallon, and 14 quarts are 3 gallons 2 quarts, so the final answer is:
</span>
<span>3+3=6 gallons 2 quarts and 1 pint. </span>
Answer:
a 5
Step-by-step explanation:
Answer:
x=30h
Step-by-step explanation:
First, you need to figure out how much she actually paid for lessons, so you need to subtract 45 from 165.
165-45=120
Now you know she paid 120 dollars in total for lessons.
You know she took four hours of lessons, so you divide 120 by 4.
120/4=30
It takes $30 an hour for lessons.
Now you can form an equation.
Since you know it takes $30 per hour of lessons, it will be 30h.
x is the full amount of money paid
You don't need to add 165-45 to your equation because not everyone will need to rent skis when they come to White Peaks.
Hope this helps!