1. 5 -4x =6 +2x
+4x. +4x
5=6. +6x
-6 -6
-1 = 6x
--- ---
6. 6
-6=x
2. 9 - 2x = 7x
+2x. +2x
9 = 9x
--- ----
9. 9
1 = x
The inequalities that are given in this item are given below,
y < 5x - 1
y ≥ -3x +4
We dropped the inequalities sign to solve for the values of x and y for the intersection.
y = 5x - 1
y = 3x + 4
Substituting the y from the first equation to the y of the second equation,
5x - 1 = 3x + 4
2x = 5
x = 5/2
Substituting for y,
y = (5)(5/2) - 1
y = 25/2 - 1 = 11.5
The intersection is (5/2, 11.5)
The solutions of the system of inequalities lie in the 3rd and 4th quadrants.
Answer:
(a) 4.875 minutes
(b) 1.86 minutes
Step-by-step explanation:
The length of fence = 150 feet.
Rate of painting by Tyler = 11ft/min
Rate of painting by Benito = 15ft/min
(a) Let after time t minutes both have painted equal number of feet.
As Taylor has already painted 19.5 feet. So,



minutes.
(b)The length of fencs to be painted by Tylor=150-19.5=130.5 feet.
So. time taken by Tylor to finish the painting
minutes.
Time taken by Benito to finish the painting
minutes
Here, tome taken by Benito is less, so Benoto finishes first.
Benoto will get the time to rest for 11.86-10=1.86 minutes.
Answer:
Step-by-step explanation:
hello :
D. There are infinitely many solutions because :
x+y=4 multiply by : 2
equation equivalent to 2x+2y =8
same line
Answer:
No, similar figures need to have corresponding sides proportional and corresponding angles congruent.
Step-by-step explanation: