1) Which two teams had the greatest point difference?
Delta and Beta (85 - 25 = 60)
2) Which two teams had the least point difference?
Delta and Gamma (85 - 75 = 10)
3) What was the average score of the 5 teams?
(45+25+75+85+65) / 5 = 295 / 5 = 59
4) How many more points did Epsilon score than Beta?
Epsilon: 65
Beta: 25
65 - 25 = 40
Epsilon scored 40 more than Beta
<span>5) Which teams scored more than 2 times Beta’s score?</span>
twice of Beta = 25 x 2 = 50
answer
Gamma (75) , Delta (85) and Epsilon (65)
Answer:
24 apples
Step-by-step explanation:
set up the problem 6=0.25X. then divide 6 by 0.25 to get X by itself. 24 is the answer.
13.
(a)
for x = 2:
for x = 5
(b)
The graph is:
(c)
Using the graph:
Using the quadratic formula:
![\begin{gathered} x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ x=\frac{-21\pm\sqrt[]{21^2-4(-5)(-10)}}{2(-5)} \\ x=\frac{-21\pm\sqrt[]{241}}{-10} \\ x=0.54758 \\ or \\ x=3.6524 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D%20%5C%5C%20x%3D%5Cfrac%7B-21%5Cpm%5Csqrt%5B%5D%7B21%5E2-4%28-5%29%28-10%29%7D%7D%7B2%28-5%29%7D%20%5C%5C%20x%3D%5Cfrac%7B-21%5Cpm%5Csqrt%5B%5D%7B241%7D%7D%7B-10%7D%20%5C%5C%20x%3D0.54758%20%5C%5C%20or%20%5C%5C%20x%3D3.6524%20%5Cend%7Bgathered%7D)
first the square root of 4 is 2 so we can sub that in.
now we have 2(2*2)^-2.
2 * 2 of course is 4
with 2(4)^-2, keep in mind that negative exponents just mean to "flip" the number and turn the exponents positive.
so 4^-2 is the same as 1/4^2 or 1/16.
finally 1/16 * 2 = 2/16. 2/16 simplified is 1/8.
