-x+2 > 1
-x+2+x > 1+x .... add x to both sides
2 > 1+x
x+1 < 2
x+1-1 < 2-1 ... subtract 1 from both sides
x < 1
After solving for x, we get x < 1
To graph this, plot an open circle at 1 on the number line and shade to the left of this value. The open circle indicates that 1 is not part of the solution set.
If your teacher requires you to graph this on an xy grid, then draw a vertical line through 1 on the x axis. Make this vertical line a dashed line. Then shade the entire region to the left of this dashed line. Any point in this shaded region will have an x coordinate that is less than 1. The dashed line acts like the open circle. The dashed line tells the reader "any point on this dashed line is not part of the solution set"
Answer:
y = (-3/4)x -2
or: y = -0.75x -2
Step-by-step explanation:
First, find the slope of the line that it parallel to. Using equation
slope m = (y2-y1)/(x2-x1),
slope of line that passes through points (4, 0) and (0, 3)
= (3 - 0) /( 0-4)
= -3/4
Since the lines are parallel, both of them have the same slope, which is -3/4.
The point (0, -2) is actually the point of y -intercept (c) of the new line, so we can simply use the slope-intercept form to find the equation of line.
y = mx + c
y = (-3/4)x + (-2)
y = (-3/4)x -2
Answer:
y = 36
Step-by-step explanation:
Given y varies directly as z and inversely as x then the equation relating them is
y = 
← k is the constant of variation
To find k use the condition y = - 18, z = 3 when x = 6 , then
- 18 = 
( multiply both sides by 6 )
- 108 = 3k ( divide both sides by 3 )
- 36 = k
y = 
← equation of variation
When x = 5 and z = - 5, then
y = 
= 
= 36
Answer:
Step-by-step explanation:
4x+2y = -24 -------------(i)
<u> -4x+y = 12 -</u>------------(ii)
add (i) &(ii) 3y = -12
y = -12/3
y = -4
Put y = (-4) in (i)
4x + 2*(-4) = -24
4x - 8 = -24
4x = -24 + 8
4x = -16
x = -16/4
x = -4
Answer:
Chart
Number of loaves Number of Bananas
1 2 1/2
2 5
4 10
Step-by-step explanation:
My friend helped me with this and since I saw no answer here I wanted to help YOU!!!!
So the first one was easy because it already said it in the number line.
The second one you simply multiply 2x 2 1/2
The third one you multiply 4x 2 1/2.
Hope it helps! Stay safe and dont go out during Quarantine!!!!!!!!!!
