B = √(14² - 9²) = √(196-81) = √115 ≈ 10.7 units
In order to find what x equals, we need to make it so x is on one side and what it equals, on the other.
First of all, we subtract 10 from both sides. You will now have:
x^3 - 5x^2 + 2x - 10 = 0
You will now either factor it which is recommended or use the Cubic Formula which is pretty difficult to memorize and to solve. I will now factor it.
( x - 5) ( x^2 + 2 ) = 0
You can now take both of the expressions inside and make them equal to zero and solve them.
x - 5 = 0x = 5
x^2 + 2 = 0x^2 = -2
x <span>≈</span> 1.41421356i
The second option is irrational and uses an imaginary number which you will start seeing in Alegbra II (or already have if you are taking it or have already passed it), so the first one which is 5, is the correct answer.
Answer: 5
Answer:The amount of apple juice needed in a 54 fluid ounce is 34.5 fluid ounce.
Step-by-step explanation:
The beverage company makes 100% cranapple juice which is made up of 3 1/4 cranberry juice to 5 3/4 apple juice. Converting to decimal, it is made up of 3.25 cranberry juice to 5.75 apple juice. The ratio of cranberry juice to apple juice in the cranapple juice would be
3.25/5.75
Total ratio = 3.25 + 5.75 = 9
The amount of apple juice needed in a 54 fluid ounce cranapple juice would be
5.75/9 × 54 = 34.5 fluid ounce
Answer:
D is the correct answer.
Step-by-step explanation:
When given points, one way to tell if it is a function is to see if the x-coordinate changes. If all the x-coordinates are different, then it is a function. If there is a group of x-coordinates that are the same, then you need to check the y-coordinate. If the y-coordinate is the same with the same x-coordinate, then it is still a function [Example: (12, 15), (12, 15) is a function, but (12, 15), (12, 18) is not)