Answer:
x + 4y ≤ 15; y ≥ 0
Step-by-step explanation:
The graph doesn't do a very good job of modeling any of the given equations. However, the equations listed above seem the best fit.
The slope of the top (left) line is negative, so the equation will be of the form ...
x + 4y = something
When y=0, x=15, so the "something" is expected to be 15.
However, the line appears to go through points (6, 2) and (-2, 4). Both of these points are on the line x + 4y = 14.
The graph is shaded <em>below the line</em> so the values of x and y that are in the shaded area will add to <em>less than</em> 15 (or 14). Hence, the inequality will be ...
x + 4y ≤ something . . . . . part of the 3rd answer choice
The fact that the shading does not go below y=0 means the other limit is ...
y ≥ 0 . . . . . part of every answer choice.
Answer:
-6
Step-by-step explanation:
The equation 2x-12y=168 is in standard form so in order to dtermine the slope you need to convert it to slope-intercept form.
1. subtract 2x from both sides.
-12y=-2x+168
2. divide all terms by -12 (to isolate the y)
y=1/6x-14
3. the equation of a line that is the perpendicular is the opposite and reciprocal of the given slope.
the opposite of 1/6 is -1/6.
The reciprocal of -1/6 is -6/1 OR -6.
-6 is the slope of a line pependicular to 2x-12y=168.
Hope this helps.
Answer: b = 4
Step-by-step explanation:
<u>Given</u>
4b + 5 = 1 + 5b
<u>Subtract 4b on both sides</u>
4b + 5 - 4b = 1 + 5b - 4b
5 = 1 + b
<u>Subtract 1 on both sides</u>
5 - 1 = 1 + b - 1

Hope this helps!! :)
Please let me know if you have any questions