Answer:
-1.5x - y + 7 = 0
Step-by-step explanation:
The formula for point slope form is y-yA = m(x - xA).
y - (-2) = -1.5(x + 6)
y + 2 = -1.5x + 9
y = -1.5x + 9 - 2
y = -1.5x + 7
-1.5x - y + 7 = 0 is the point slope form.
1.) C(t) = -0.30(t - 12)^2 + 40
for t = 12: C(12) = -0.30(12 - 12)^2 + 40 = -0.30(0)^2 + 40 = 40°C
For t = 24: C(24) = -0.30(24 - 12)^2 + 40 = -0.30(24 - 12)^2 + 40 = -0.30(12)^2 + 40 = -0.30(144) + 40 = -43.2 + 40 = -3.2°C
4.) F(t) = 9/5 C(t) + 32
for C(t) = 40°C: 9/5 (40) + 32 = 72 + 32 = 104°F
for C(t) = -3.2°C: 9/5(-3.2) + 32 = -5.76 + 32 = 26.24°F
5.) F(t) = 9/5 C(t) + 32 = 9/5 (-0.30(t - 12)^2 + 40) + 32 = -0.54(t - 12)^2 + 72 + 32 = -0.54(t - 12)^2 + 104
Even numbers on die: 2,4,6odd numbers on die: 1,3,5 3+3=6 -> 6 numbers in total3/6 chance because there are 3 even numbers. This would round to 1/2, so 1/2
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