Number: 94) f(x) = (2x+2) and g(x) =(x²-1)
f(x)/g(x) = (2x+2)/(x²-1) = 2(x+1) / (x+1)(x-1) = 2/(x-1)
Number 96): h(t) = 2t + 5 and g(t) = - 3t
h(t) - g(t) = 2t + 5 - (- 3t) = 2t + 5 + 3t = 5t + 5 or 5(t+1)
Step-by-step explanation:
3q - 1 = 3(1) - 1 = 2
3q -1 = 3(2)- 1= 5
10/p = 2 10/p = 5
p= 5 p= 2 (5-2=3, so 10/p is correct)
q=5, 3(5) -1 = 14
10/p = 14
p = 0.71??
Answer:
Happy conversation
Step-by-step explanation:
Be happy. It's good for you.
<h3>
Answer: 250</h3>
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Explanation:
x = speed of the plane in mph
x-180 = speed of the car, since its 180 mph slower than the plane
For the plane, we can form the equation
distance = rate*time
d = r*t
500 = xt
t = 500/x
For the car, we can say,
d = rt
140 = (x-180)t
140 = (x-180)*(500/x)
140x = 500(x-180)
140x = 500x - 90,000
140x - 500x = -90,000
-360x = -90,000
x = (-90,000)/(-360)
x = 250
The speed of the plane is 250 mph
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Extra info:
The car's speed is x-180 = 250-180 = 70 mph
It takes the plane t = d/r = 500/250 = 2 hours and it takes the car t = d/r = 140/70 = 2 hours. Both vehicles travel for 2 hours, which helps to confirm the answer.
