Answer:
first blank negitave
second blank positive
Step-by-step explanation:
Answer: First option
Step-by-step explanation:
You have the quadratic equation given in the problem:

To find an equivalent expression you cacn factorize. Find two numbers whose sum is -13 and whose product is -30.
These numbers would be -15 and 2.
Therfore, you obtain the following equivalent expression:

If you don't want to apply the method above, you can use the quadratic formula:

Where:

When you susbstitute values you obtain that:

Then you can rewrite the equation as 
Answer:
x = -9/4
Step-by-step explanation:
−2(x + 1/4) + 1 = 5
Subtract 2 from both sides.
−2(x + 1/4) = 4
Divide both sides by -2.
x + 1/4 = -2
Subtract 1/4 from both sides.
x = -2 1/4
x = -9/4
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:
greater than
Step-by-step explanation:
On a number line 160 is further to the right than 2 1/2