Hello!
Remember that the symbols: ≤ and ≥ are graphed as a solid line. While the symbols: < and > are graphed as a dotted line.
Also, before graphing, it would be better to convert both equations to slope-intercept form.
y ≤ x + 1 is already in slope-intercept form.
y + x ≤ -1 is not written in slope-intercept form. (Slope-intercept form: y = mx + b)
y + x ≤ - 1 (subtract x from both sides)
y ≤ -x - 1
Graphing those lines, you get the graph below. You can see that Part C best represents the solution set systems of inequalities, because that is where both of the shaded lines intersect.
Answer: Part C
Step-by-step explanation:
Area is 2D, and Volume is 3D
volume is L x W x H
area is L x W which has already been given to you so you just need to use the height given to you
38.28 x 11
We let y equal to the elevation above sea level so that the elevation of the rock climber after x minutes of climbing would be:
y = 2x + 50
His initial height can be calculated when x is equal to zero it is when the climber is not yet climbing. Therefore, the rock climber'sinitial height above sea level would be 50 meters.
Answer:
m+7≥8.2
Step-by-step explanation:
Given the replacement set : m={1.2, 2.2, 3.2}
Testing the inequalities :
m+7≥8.2:
1.2 + 7 ≥ 8.2
2.2 + 7 ≥ 8.2
1.2 + 7 ≥ 8.2
m+3<4.2
1.2 + 3 < 4.2 = 4.2 < 4.2 (false)
m−7≥8.2
1.2 - 7 ≥ 8.2 ; - 5.8 ≥ 8.2 (false)
m−3>4.2
1.2 - 3 > 4.2 ; - 1.8 > 4.2 ( false)
Tbe inequality condition has to be true for all values in the replacement set, m