The Answer would be p(m)=25+10 because she started with a base pay of 10 dollars and the next lawn she charge 35 meaning it makes the rate of change 25
Answer:
- x + y ≤ 600
- 5x +7y ≥ 3500
- it is possible
Step-by-step explanation:
a) We can write two inequalities, one for the number of tickets, and one for the necessary revenue.
x + y ≤ 600 . . . . . . . limit imposed by available seating
5x +7y ≥ 3500 . . . . required revenue to meet expenses
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b) For x = 330, the first inequality puts one limit on y:
330 +y ≤ 600
y ≤ 270
And the second inequality puts another limit on y:
5(330) +7y ≥ 3500
7y ≥ 1850 . . . . subtract 1650
y ≥ 264.3 . . . . divide by 7
The number of tickets that must be sold to meet expenses is 265, which is less than the number that can be sold, 270. It is possible to meet expenses.
Answer:
C) No, their slopes are not opposite reciprocals.
Step-by-step explanation:
First we find the slopes.
slope of PQ = (3 - 0)/(7 - 11) = 3/(-4) = -3/4
slope of RS = (-3 - 1)/(6 - 3) = -4/3
product of the slopes = (-3/4) * (-4/3) = 1
The slopes are reciprocals, but they are not opposite reciprocals, so the lines are not perpendicular.
Answer:
y=-x
Step-by-step explanation:
The y-intercept is 0 and the slope is -1 so -x.
Answer:
15.01
Step-by-step explanation:
From the diagram above, the following were obtained:
Adj = 7
0 = 65°
Opp =?
Tan0 = Opp /Adj
Tan65° = Opp/ 7
Cross multiply
Opp =7 x Tan65°
Opp = 15.01