A student decides to sort out her new study timetable. She suggests two plans however is confused about which is more efficient.
1 answer:
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Answer:
Option A is correct
The function has real zeroes at x =-10 and x =-6
Explanation:
Given: The real zeroes or roots are x = -10, and x = -6
To find the quadratic function of degree 2.
where α,β are real roots. ....[1]
Here, α= -10 and β= -6
Sum of the roots:
α+β = -10+(-6) = -10-6 = -16
Product of the roots:
αβ = (-10)(-6)= 60
Substitute these value in equation [1] we have;
Therefore, the quadratic function for the real roots at x =-10 and x =-6 ;
Answer:
The difference in area between the trapezoid and the rectangle is 10 in²
Step-by-step explanation:
The dimensions of the trapezoid are given as follows;
Base 1, a = 12 in
Base 2, b = 10 in
Height, h = 10 in
Area, A of trapezoid;
The dimensions of the rectangle are given as follows;
Base = 12 in
Height = 10 in
Area, A of rectangle;
Base × Height = 12 × 10 = 120 in^2
Therefore, the difference in area between the two packages is found as follows;
Difference in area between trapezoid and rectangle = 120 - 110 = 10 in²
The difference in area between the trapezoid and the rectangle = 10 in².