Answer:
2/3
Step-by-step explanation:
Numerator is 12-2-8
Denominator is 1*3
2/3
One rose is $2. The amount of money you have is $90
where x represents the car's speed in miles per hour. Determine the fuel economy
when the car is traveling 40, 50, and 60 miles per hour.
Answer:
a) 29.50 miles per gallon b) 29.87 miles per gallon c) 28.19 miles per gallon
Step-by-step explanation:
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056x^4 - 0.000018x^3 - 0.016x^2 + 1.38x - 0.38
where x represents the car speed in miles per hour.
when x = 40 miles per hour
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(40)^4 - 0.000018(40)^3 - 0.016(40)^2 + 1.38(40) - 0.38 = 1.4336 - 1.152 - 25.6 + 55.2 - 0.38 = 29.50 miles per gallon
Similarly,
when x = 50
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(50)^4 - 0.000018(50)^3 - 0.016(50)^2 + 1.38(50) - 0.38 = 3.5 - 2.25 - 40 + 69 - 0.38 = 29.87 miles per gallon
Similarly,
when x = 60
A specific car fuel economy (miles/gallon) = f(x) = 0.00000056(60)^4 - 0.000018(60)^3 - 0.016(60)^2 + 1.38(60) - 0.38 = 7.26 - 3.89 - 57.6 + 82.8 - 0.38 = 28.19 miles per gallon
The length of the rectangle is 1 unit.
To find the length of the rectangle, we need to solve for the width first. We are given that the length of the rectangle is the width minus 8 units. Let's assume the width is 'w'. So the length would be 'w-8'. The area of the rectangle is given as 9 units. We can write the equation: (w-8) * w = 9. Solving this equation, we get w^2 - 8w - 9 = 0. Factoring or using the quadratic formula, we find that the width is approximately -1 or 9. Since the width cannot be negative, we discard -1 and conclude that the width is 9 units. Now, we can substitute this value back into the length equation to find the length: length = width - 8 = 9 - 8 = 1 unit.
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