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Problem 95

Solve each inequality analytically. Write the solution set in interval notation. Support your answer graphically. $$0.6 x-2(0.5 x+0.2) \leq 0.4-0.3 x$$

Problem 95

Find (a) the distance between P and Q and (b) the coordinates of the midpoint M of the segment joining P and Q. $$P(13 x,-23 x), Q(6 x, x), \quad x>0$$

Problem 95

Climate Change During the past 50 years, the average rate of change in temperature in Antarctica has been \(0.9^{\circ} \mathrm{F}\) per decade. (a) Write a function \(W\) that calculates the increase in temperature after \(x\) years during this time period. (b) Evaluate \(W(15)\) and interpret the result.

Problem 96

Find (a) the distance between P and Q and (b) the coordinates of the midpoint M of the segment joining P and Q. $$P(12 y,-3 y), Q(20 y, 12 y), \quad y>0$$

Problem 96

Solve each inequality analytically. Write the solution set in interval notation. Support your answer graphically. $$-0.9 x-(0.5+0.1 x)>-0.3 x-0.5$$

Problem 97

Suppose that P is an endpoint of a segment PQ and M is the midpoint of \(P Q .\) Find the coordinates of endpoint Q. $$P(7,-4), M(8,5)$$

Problem 97

Solve each inequality analytically. Write the solution set in interval notation. Support your answer graphically. $$-\frac{1}{2} x+0.7 x-5>0$$

Problem 98

Solve each inequality analytically. Write the solution set in interval notation. Support your answer graphically. $$\frac{3}{4} x-0.2 x-6 \leq 0$$

Problem 98

Suppose that P is an endpoint of a segment PQ and M is the midpoint of $P Q . Find the coordinates of endpoint Q. $$P(13,5), M(-2,-4)$$

Problem 99

Solve each inequality analytically. Write the solution set in interval notation. Support your answer graphically. $$-4(3 x+2) \geq-2(6 x+1)$$

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