Tenley wants to exercise at least 15 hours per week. She walks at a speed of three miles per hour and bikes at a speed of 10 miles per hour. She wants to cover at least 90 miles total in her weekly workouts, biking no more than 10 hours and walking no more than 12 hours.

The answer is below

Step-by-step explanation:

Let x represent the number of hours spent on walking and let y represent the number of hours spent on biking.

Tenley wants to exercise at least 15 hours per week, therefore:

x + y ≥ 15        (1)

Tenley cover at least 90 miles total in her weekly workout, therefore:

3x + 10y  ≥ 90     (2)

x ≤ 12, y ≤ 10        (3)

Plotting the above constraints using geogebra online graphing tool. The solution to the problem is:

(5, 10) , (12, 10), (12, 5.4), (8.57, 6.43)

  q

step-by-step explanation:

each line from a vertex to the midpoint of the opposite side is called a median. the point where the medians intersect, point q, is the centroid.

the centroid of δabc is point q.

step-by-step explanation:

here's what happens:

1) the graph of f   = x^2 is shifted 2 units to the right.

2) the resulting graph is reflected in the x-axis, so that the parabola now opens down.

3) this final result is transformed up by 5 units.