Answer:
(1,5)
Step-by-step explanation:
The solution to the system of equations is where the two graphs intersect.
The two lines intersect at x=1 and y =5
The point of intersection is (1,5)
The answer is 570$
10% of 800 is 80 + 150$ is 230
800-230=570
Answer:
−23k−5m
Step-by-step explanation:
Collect like terms.
(4k-32k+5k)-5m(4k−32k+5k)−5m
Which lists the even numbers between 1 and 19 in set notation? A.{2, 4, 6, 8, 10, 14, 16, 18} B.{0, 2, 4, 6, 8, 10, 12, 14, 16,
harkovskaia [24]
D.
This is the only list that contains all even numbers that lie between the number 1 and the number 19.
Answer:
in steps
Step-by-step explanation:
The question did not state if alpha>beta or alpha<beta, so the answer will have 2 answers for each questions
3x²-9x+2=0
x = (-(-9) ± √(-9)²-4*(3)*(2)) / (2*3)
x = (9 + √57) / 6 or x = (9 - √57) / 6 (alpha and beta) or (beta and alpha)
(I) alpha (a) ×beta (b) + alpha² × beta = ab (1+a)
= ((9 + √57) / 6) ((9 - √57) / 6) (1 + (9 ± √57))
= ((9² - (√57)²)/36) (10 ± √57)
= (24/36) (10 ± √57)
= 2/3 (10 ± √57) or (11.7 or 1.63)
(ii) alpha²-alpha×beta+beta² = a² -2ab + b² +ab = (a - b)² + ab
if a is alpha
= ((9 + √57) / 6) - ((9 - √57) / 6)) + ((9 + √57) / 6) ((9 - √57) / 6))
= √57/3 + 2/3
= (√57 + 2) / 3
if a is beta
((9 - √57) / 6) - ((9 + √57) / 6)) + ((9 - √57) / 6) ((9 + √57) / 6))
= - √57/3 + 2/3
= - (√57 + 2) / 3
