Answer:
see explanation
Step-by-step explanation:
Given the 2 equations
2r + 3s = - 5 → (1)
6s = 2r → (2) ( divide both sides by 2 ), then
r = 3s
Substitute r = 3s into (1)
2(3s) + 3s = - 5
6s + 3s = - 5
9s = - 5 ( divide both sides by 9 )
s = -
Substitute this value into either of the 2 equations and evaluate for r
Substituting into r = 3s, then
r = 3 × - = -
Solution is r = - and s = -
The common factors of 56 is as follows:
1, 2, 4, 7, 8, 14, 28 and 56
The common factors of 64 is as follows:
1, 2, 4, 8, 16, 32, and 64
As you can see, 8 is the greatest common factor
Answer:
0.25
Step-by-step explanation:
40% of the students use mac computer
67% of the students are undergraduate
23% of the students are graduates and use mainly PC
Students that use PC computers = 100 -40 = 60%
Students that are graduates = 100 - 67 = 33%
Students that are graduates that use Mac = 33 - 23= 10%
Students that are undergraduate that use PC = 67 - 30 = 37%
Using conditional probability
Pr(B|A) = Pr(A and B) / Pr(A)
Pr(Graduate | mac) = Pr(graduate and mac) / Pr(mac)
= 10%/ 40%
= 1/4
= 0.25
X = -6/29 is the correct answer
Identify the "a, b, c" values, find the axis of symmetry (AOS), and plug in the x-coordinate to find the y-coordinate.
a, b, c: y = ax² + bx + c → a = 2, b = -4, c = 1
AOS: x = = = = 1
y-coordinate: y = 2x² - 4x + 1 = 2(1)² - 4(1) + 1 = 2 - 4 + 1 = -1
Answer: (1, -1)