PLEASE HELP ASAP DUE IN 5 MIN PLEASEEEE !!!!!! Which best compares the maximum value of the two functions?
2 answers:
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For this problem, you have to come up with two equations, one for each plan, and set them equal to each other to solve for how many minutes <span>of calls when the costs of the two plans are equal. Let's call the number of minutes "x." Remember the equation for slope-intersect form is:
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<span>And we're trying to put in values for m and b.
So the first plan has a </span>$29 monthly fee and charges an additional $0.09 per minute. The $29 monthly fee will be our "b" in our slope-intersect equation because it won't be affected by our minutes "x." That means 0.09 is our "m" value because it will change with "x." So our equation for plan 1 is:
The second plan <span>has no monthly fee but charges 0.13 for each minute of calls. Because there is no monthly fee, there is no "b" this time. "m" will be 0.13. So our equation for plan 2 is"
</span>
Now we set our two equations equal to each other. "y" in the equation stands for the total cost of the plan. If the total costs are equal, then they have to be the same number, so we can put one of the equations for "y" into the other equation and solve for "x," our number of minutes:
</span>
<span>And we're trying to put in values for m and b.
So the first plan has a </span>$29 monthly fee and charges an additional $0.09 per minute. The $29 monthly fee will be our "b" in our slope-intersect equation because it won't be affected by our minutes "x." That means 0.09 is our "m" value because it will change with "x." So our equation for plan 1 is:
The second plan <span>has no monthly fee but charges 0.13 for each minute of calls. Because there is no monthly fee, there is no "b" this time. "m" will be 0.13. So our equation for plan 2 is"
</span>
Now we set our two equations equal to each other. "y" in the equation stands for the total cost of the plan. If the total costs are equal, then they have to be the same number, so we can put one of the equations for "y" into the other equation and solve for "x," our number of minutes:
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Answer:
1. line b is perpendicular to the other two, which are parallel
2. line a is perpendicular to the other two, which are parallel
Step-by-step explanation:
1. The differences between coordinates (∆x, ∆y) are ...
(-2, 3) -(1, -1) = (-3, 4) . . . line a
(-3, 1) -(1, 4) = (-4, -3) . . . line b
(0, 2) -(3, -2) = (-3, 4) . . . line c
When the (∆x, ∆y) values are identical, the lines are parallel. If the values are swapped, and one differs in sign, the lines are perpendicular.
line b is perpendicular to lines a and b, which are parallel
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2. When all of the equations are written in standard form, they are ...
- 4x +y = 7 . . . line a
- x -4y = 2 . . . line b
- x -4y = 3 . . . line c
As above, when the x- and y-coefficients are identical, the lines are parallel. If they are swapped and one is negated, the lines are perpendicular.
line a is perpendicular to lines b and c, which are parallel
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In the attached graph, the lines of part 1 are blue; those of part 2 are red.
