Answer:
TRUE
Step-by-step explanation:
A quadratic equation can be found that will go through any three distinct points that ...
- satisfy the requirements for a function
- are not on the same line
_____
The key word here is "may." You will not be able to find a quadratic intersecting the three points if they do not meet both requirements above.
In this question, you're solving for x.
Solve for x:
2(x - 8) + 4x = 6(x - 2) - 4
Distribute the 2 to the variables inside the parenthesis.
2x - 16 + 4x = 6(x - 2) - 4
Distribute the 6 to the variables inside the parenthesis.
2x - 16 + 4x = 6x - 12 - 4
6x - 16 = 6x - 12 - 4
6x - 16 = 6x - 16
Subtract 6x from both sides
-16 = -16
Add 16 to both sides
0 = 0
Answer:
All real numbers and solutions
Answer:
Theoretical probability
Step-by-step explanation:
The theoretical probability is defined as:
In this case we look for the probability of taking a 2 out of the bag. As there is only one paper with the number 2 in the bag then:
number of desired results = 1
The amount of paper in the bag is equal to 7, so:
number of possible results = 7
Thus:
This is a theoretical probability, since we do not need to perform the experiment to calculate the probability.
To calculate the experimental probability we must perform the following experiment:
Take a paper out of the bag, record the number obtained and then return the paper to the bag.
Now repeat this experiment n times. (Perform n trials)
So:
To calculate a theoretical probability you always need to perform an experiment with n trials.
Answer:
141, meaning that there will be two real solutions
Step-by-step explanation:
The discriminant of a quadratic is , which in this case is:
Since the discriminant is positive and not zero, there will be two real solutions to this equation. This is because when the discriminant is negative, and you take the square root of it, you get a negative number. If you take the square root of 0, you get 0, which means that there will only be one solution to the equation.
Hope this helps!
Its lowest terms are 1/16