This does not look easy to factor, so I'd suggest using the quadratic formula:
-1 plus or minus sqrt( 1-4(3)(-5) )
x = -----------------------------------------------
2*3
-1 plus or minus sqrt(61)
= ------------------------------------
6
Thus, there are 2 real, unequal, irrational roots / solutions.
Answer:
30
Step-by-step explanation:
A=pq
----------
2
In order to do this, we multiply both sides be the amount that would make the left side equal to 1. This number is the reciprocal of the fraction, so we multiply both sides by 3/2. This is equal to:
w = 9/8
So, the blueberries in crystal's basket will weigh 9/8 pounds when it is full.
Answer: ![\frac{11}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B11%7D%7B15%7D)
Step-by-step explanation:
You know that:
- 2/5 of the spice mixture was oregano.
- 1/3 of the spice mixture was basil.
Then, to find the fraction of the total amount of spice mixture that was oregano and basil, you must add both fractions, as following:
- Find the least common multiply of the denominators:
![LCM=5*3=15](https://tex.z-dn.net/?f=LCM%3D5%2A3%3D15)
- Divide the LCM by each original denominator and multiply the result by each numerator.
- Make the addition.
Then, the result is:
![\frac{(2*3)+(1*5)}{15}=\frac{6+5}{15}=\frac{11}{15}](https://tex.z-dn.net/?f=%5Cfrac%7B%282%2A3%29%2B%281%2A5%29%7D%7B15%7D%3D%5Cfrac%7B6%2B5%7D%7B15%7D%3D%5Cfrac%7B11%7D%7B15%7D)