Long Division
Divide (x3 - 3x2 - 8x + 10) by (x - 1).
Write your answer in standard form.
Long Division
Divide (3x3 + 8x2 + 8x - 25) by (3x - 4).
Write your answer in standard form.
You and your friend throw a football. The parabola shows the path of your friend’s throw, where x is the horizontal distance (in feet) and y is the height (in feet). The path of your throw is represented by h(x) = −16x2 + 65x + 5.
Explain your reasoning.
Explain what the y-intercept represents.
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The table shows fuel efficiencies of a vehicle at different speeds. Write a function that models the data. Use the model to approximate the best gas mileage.
The table shows the temperatures y (in degrees Fahrenheit) of a cup of tea after x minutes. Write a function that models the data.
The table shows the temperatures y (in degrees Fahrenheit) of a cup of tea after x minutes. Use the function from #7 to predict the temperature of the tea after 20 minutes.
Round to the nearest degree.
Explain your reasoning
The table shows the speeds s (in feet per second) of sound in water at various temperatures t (in degrees Fahrenheit). Write a function that models the data. Use the model to approximate the speed of sound when the water temperature is 100°F.
Write a function that models the data.
Use the model to approximate the speed of sound when the water temperature is 100°F.
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Set up an equation and solve for x.
Solution:
Exact answer:
Rounded answer:
x = 3.66
Set up an equation and solve for x.
Give the exact solution or round your answer to the nearest hundredths.
Set up an equation and solve for x.
Give the exact solution or round your answer to the nearest hundredths.