What does a residual value of 0.8 mean in reference to the line of best fit?
2 answers:
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Answer:
<em>The zeros of the polynomial are -1 and 5</em>
Step-by-step explanation:
<u>Quadratic Equation Solving</u>
The standard representation of a quadratic equation is:
where a,b, and c are constants.
Solving with the quadratic formula:
We have the following equation to solve:
Before attempting to solve it, we must simplify the equation.
Collecting like terms and reordering:
Here: a=1, b=-4, c=-5
The discriminant of this quadratic equation is:
Given d is positive, the equation has two roots, and since d is a perfect square, both roots are rational.
Applying the formula:
Dividing by 2:
Separating both roots:
x = 2 + 3 = 5
x = 2 - 3 = -1
The zeros of the polynomial are -1 and 5
Answer:
3 pieces
Step-by-step explanation:
Given: Figure
To find: Number of 8.5 in. × 11 in. pieces used to cover the floors of a room and a hallway in her dollhouse
Solution:
In the given figure, AC = 22 in.
AB + BC = 22 in.
AB + EF = 22 (As BC = EF being opposite sides of rectangle)
AB + 10 = 22
AB = 22 - 10 = 12 in.
Area of rectangle ABGH = AB × AH = 12 × 5 = 60 square inches
(area of rectangle = length × breadth )
CE = CD + DE = AH + GF (As CD = AH and DE = GF)
CE = 5 + 15 = 20 inches
Area of rectangle BCEF = BC × CE = 10 × 20 = 200 square inches
(BC = EF = 10 in.)
Total area of the figure = Area of rectangle ABGH + Area of rectangle BCEF = 60 + 200 = 260 square inches
Area of pieces of felt = 8.5 × 11
So,
Number of pieces required = Total area of the figure / Area of pieces of felt =
3 pieces
