Answer:
4c+5≥1,700.
Step-by-step explanation:
Let c be the number of cartons of cups purchased. Since the number of cups in each carton is 5 more than four times the number of cartons, then the number of cups is 4c+5.
The organizers expect at least 1,700 attendees, then the total number of cups should be greater or equal to 1,700. This gives you the inequality
4c+5≥1,700.
Answer:
It is equivalent to 15x – 3)(2x + 1) = 0. False
It is equivalent to (5x – 3)(2x + 1) = 0 True
Either x=-1/2 or 5/3
Step-by-step explanation:
Consider the equation 5x (2x + 1) - 3(2x + 1) = 0.
It is equivalent to 15x – 3)(2x + 1) = 0. False
It is equivalent to (5x – 3)(2x + 1) = 0 True
When you take pull-out (2x+1), you will be left with (5x-3)
5x (2x + 1) - 3(2x + 1) = 0.
(2x+1)(5x-3)=0
Either 2x + 1 = 0
2x = -1
Divide both-side of the equation by 2
2x/2 = -1/2
x= -1/2
OR
5x-3 =0
5x = 3
Divide both-side of the equation by 5
5x/5 = 3/5
x = 5/3
Either x=-1/2 or 5/3
ANSWER
The coordinates of the image are (2,2)
EXPLANATION
The mapping for a reflection across the line y=k is :
We want to find the image of the point (2,-4) after a reflection in the line y=-1.
In this case k=-1.
This simplifies to,
Hence the image is (2,2)
