Answer:
y > 2x + 3
Step-by-step explanation:
Okay, first let's simplify the equation by understanding the form.
y = mx + b is the form.
Currently we have 2x - y < -3, So we can subtract 2x on both sides to get
-y < -2x - 3
Let's multiply each term by -1 to get
y < 2x + 3, but wait! We have to flip the sign!
The answer is :
y > 2x + 3
Answer:
option 2 or y + x -2 = 0
Step-by-step explanation:
Given a line on a graph, it is easiest to start with point-slope form.
y = mx + b
where m is the slope (rise/run) and b is the y-axis intercept.
From the plot m = -2/2 = -1 and b = 2 SO
y = mx + b
y = -x + 2
Then the general form is
y + x -2 = 0
Answer:
x = 2
Step-by-step explanation:
The relevant rule of logarithms is ...
log(a/b) = log(a) -log(b)
This lets us combine the logs on the left to get ...
log((6 +7x)/(3x -2)) = log(5)
Taking anti-logs gives ...
(6 +7x)/(3x -2) = 5
6 +7x = 5(3x -2) . . . . . multiply by (3x -2)
7x +6 = 15x -10 . . . . . eliminate parentheses
8x = 16 . . . . . . . . . . . add 10-7x to both sides
x = 2 . . . . . . . . . . . . . divide by 8
The solution is x = 2.
_____
The graph shows the left side of the equation is equal to the right side for x=2.
We know, volume of rectangular prism is given by :

Volume of cubic box :

Number of cubes can be filled :

Therefore, 16 cubes can be put in the bin.
Hence, this is the required solution.