Answer:
y=2x+3 is non-proportional. y=5x is proportional.
Step-by-step explanation:
y=2x+3 is not proportional because there is the +3. also, when it is graphed on a graph, the line does not pass through the origin/zero.
y=5x is proportional because it does not have any other values attached to the y value. when it is graphed, the lie goes through the origin/zero.
Y2-Y1/X2-X1 = 7-22/1-4 = -15/-3 = 5
y=5x+ 0
Answer:
The values of x and y are x = 6 and y = 9
Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
- Bisect each other
- Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
It should take 6 weeks until the warehouse has less than 100 boxes remaining
This is the work and the answer is 4/23 or (in decimal form) 0.17391304
