Answer:
The third graph is correct for the inequality 2x + 3y > -3
Step-by-step explanation:
The slope of the graph is –2/3.
The y-intercept is –1
The area above the dashed be line is shaded.
To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.
For example: (1,1)
2(1) + 3(1) > –3
2 + 3 > –3
5 > –3 True.
<h3>
Answer: Choice C) (x-4, y)</h3>
Explanation:
We have x = 5 turn into x = 1. We need to subtract 4 from the x coordinate to get this. Therefore x turns into x-4.
The y coordinate stays at y = 2 the entire time, so y isn't altered. We have y map to y.
Overall, the rule is 
which translates the point 4 units to the left.
Answer:
For 36 movies the cost of both the plans is same.
Step-by-step explanation:
Let us assume foe m movies, both the plans cost same.
Now, PLAN A:
Annual Fee = $45
Cost per movie = $2.50
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($2.50) = 2.5 m
So, the total cost of Plan A = Annual Fee + Cost of m moves
= 45 + 2.50 m
PLAN B:
Cost per movie = $3.75
⇒The cost of watching m movies = m x (Cost of 1 movie)
= m x ($3.75) = 3.75 m
ACCORDING TO QUESTION:
for m movies, Cost of plan A = Cost of plan B
⇒45 + 2.50 m = 3.75 m
or, 3.75 m - 2.5 m = 45
or, m = 45/1.25 = 36
or, m = 36
Hence, for 36 movies the cost of both the plans is same.
Answer:
<h2>y = -4x</h2>
Step-by-step explanation:
Solve 20x + 5y = for y
20x + 5y = 0
subtract 20x both sides
5y = -20x
simplify:
y = <u>-20x</u>
5
finally
y = -4x
The two friends would both get 2 and 1/2 hope that helps
