Y=1x+5
Take point (2,7) into point slope
Y-7=1 (x-2)
Convert
Y-7= 1x -2
+7 on both sides
Y= 1x + 5
Answer:
Step-by-step explanation:
c + f = 10 (the coach tickets + first class tickets = 10)...there is 10 people
160c + 1230f = 6950....each coach ticket is 160 and each first class ticket is 1230.....and when added, they equal 6950 (for the airfare)
c + f = 10.....c = 10 - f
160c + 1230f = 6950
sub in 10 - f for c
160(10 - f) + 1230f = 6950
distribute the 160 thru the parenthesis
1600 - 160f + 1230f = 6950
combine like terms
1600 + 1070f = 6950
subtract 1600 from both sides
1070f = 6950 - 1600
1070f = 5350
divide both sides by 1070
f = 5350/1070
f = 5 <===== she bought 5 first class tickets
c + f = 10
we found f to be 5...so sub in 5 for f and find c, the coach tickets
c + 5 = 10
c = 10 - 5
c = 5 .......and she bought 5 coach tickets
check...
160c + 1230f = 6950
160(5) + 1230(5) = 6950
800 + 6150 = 6950
6950 = 6950 (correct)....so it checks out
5 coach and 5 first class
Answer:
The answer is below
Step-by-step explanation:
Let x represent the number of packages of mix A nuts and let y represent the number of packages of mix B nuts
Since 8 ounces (oz.) of peanuts is used to produce a package of mix A and 6 ounces (oz.) of peanuts is used to produce a package of mix B. Also, No more than 120 oz. of peanuts can be used each day. This can be represented by the inequality:
8x + 6y ≤ 120 (1)
4 ounces (oz.) of cashew is used to produce a package of mix A and 6 ounces (oz.) of cashew is used to produce a package of mix B. Also, No more than 96 oz. of peanuts can be used each day. This can be represented by the inequality:
4x + 6y ≤ 96 (2)
The inequality from equation 1 and equation 2 is graphed using geogebra online graphing.
If x, y ≥ 0, the solution to the problem is:
(0, 0), (0, 16), (15,0), (6, 12)
Answer:
(-∞, 6) or [5, ∞)
Step-by-step explanation:
subtract 3
5x< -30 or 3x ≥ 15 .
divide
x < 6 or x ≥ 5
