It is 170 miles from Bruce’s house to the city where his brother lives. On his last trip to visit his brother, he drove for 2 ho
2 answers:
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By graphing the points, The best mode of the data will be the quadratic function
There is 5 steps to find the quadratic function that models the data.
First step ⇒ Plot the data pairs (x, y) in a coordinate plane.
which are the blue circles in the attached figure
Second step ⇒ Draw the parabola you think best fits the data.
Which is the red function in the attached figure.
Third step ⇒ Estimate the coordinates of three points on the
parabola, which are (-1, 0), (2, -3), and (5, 12).
Fourth step ⇒ Substitute the coordinates of the points into the model
y = ax² + bx + c
to obtain a system of three linear equations.
a - b + c = 0 ---------(1)
4a + 2 b + c = -3 ---------(2)
25a + 5 b + c = 12 ---------(3)
Fifth step ⇒ Solve the linear system.
By using the calculator
a = 1 , b = -2 , c = -3
So, the quadratic model for the data is ⇒ y = x² - 2x - 3
There is 5 steps to find the quadratic function that models the data.
First step ⇒ Plot the data pairs (x, y) in a coordinate plane.
which are the blue circles in the attached figure
Second step ⇒ Draw the parabola you think best fits the data.
Which is the red function in the attached figure.
Third step ⇒ Estimate the coordinates of three points on the
parabola, which are (-1, 0), (2, -3), and (5, 12).
Fourth step ⇒ Substitute the coordinates of the points into the model
y = ax² + bx + c
to obtain a system of three linear equations.
a - b + c = 0 ---------(1)
4a + 2 b + c = -3 ---------(2)
25a + 5 b + c = 12 ---------(3)
Fifth step ⇒ Solve the linear system.
By using the calculator
a = 1 , b = -2 , c = -3
So, the quadratic model for the data is ⇒ y = x² - 2x - 3
Answer:
Step-by-step explanation:
1. ⟾ one dozen = 12, so 2 dozen = 12×2=24
⟾ 24 Joe's doughnuts = $6
⟾ 1 Joe's doughnuts or unit / rate = $6/24 = $1/4.
⟾ so per doughnut unit rate is $ 1/4.
2. ⟾ 24 hours = 5432 miles.
⟾ 1 hours = 5432/24 hours
⟾ 1 hours = 226•333 miles.
⟾ so aryan drove in 226•333 miles in 1 hours.
Hope it's helps you