Answer:
A. x equals 5 plus or minus the square root of thirty-three all over 2
Step-by-step explanation:
Let's move all the terms to one side:


Now, we want to use the quadratic formula, which states that for a quadratic equation of the form
, the roots can be found with the equation:
or
.
Here, a = 1, b = -5, and c = -2, so plug these in:
OR

Thus, the answer is A.
Hope this helps!
Answer:
c
Step-by-step explanation:
Using Pascal's triangle, the expansion, although EXTREMELY lengthy, will help you find the 7th term. I am going to type out the expansion only up til the 7th term (although there are actually 10 terms because we are raised to the power of 9). If you would like to learn how to use Pascal's Triangle for binomial expansion, you will need to visit a good website that explains it because it's just too difficult to do it via this website.
The expasion is as follows (up to the 7th term):

That last term is the 7th term. You find out its value by multiplying all the numbers together and adding on the c^3d^6. Again those come from Pascal's triangle, and it's one of the coolest math things ever. I encourage you to take the time to explore how it works.
Based on the given values above, we will be able to determine the expected number of viewers after four weeks by just multiplying the number of viewers to 18% per week. So the initial is 25 for this next. So for the first week, additional of 4.5 viewers. So the total would be 29.5 Second week, additional of 5.31, and the total would be 34.81. Third week, additional 6.27, the total would be 41.08. And on the fourth week, additional of 7.39, so the expected number of viewers would be 48.47. To round this off to the nearest whole number, we can get 48 viewers. Hope this helps.
Create a ratio and cross multiply
20x - 75 = 14x + 63
6x = 138
x=23
hope this helps :)
Answer:
562.5
Step-by-step explanation:
A = ½ (10 m/s + 35 m/s) (25 s)