Answer:
f(x) = x³ - 5x² - 9x + 45
Step-by-step explanation:
Given x = a, x = b are the zeros of a polynomial, then
(x - a), (x - b) are the factors and f(x) is the product of the factors.
Here the zeros are x = - 3, x = 3 and x = 5, thus
(x + 3), (x - 3) and (x - 5) are the factors and
f(x) = (x + 3)(x - 3)(x - 5) ← expand the first pair of factors using FOIL
= (x² - 9)(x - 5) ← distribute
= x³ - 5x² - 9x + 45
Answer:
D(-5,3) and E(-5,1)
Step-by-step explanation:
|AB|² = (-1-5)² + (-6-2)²
|AB|² = 36 + 64
|AB|² = 100
|AB| = 10
AB/DE = 5
|DE| = 10/5 = 2
D(-5,3) and E(-5,1)
|DE|² = (-5+5)² + (3-1)²
|DE|² = 4
|DE| = 2
Verified
To help you understand this, it is helpful to create a sample set of data:
__,__,__,(Q1 is here)__,__,__,(median is here)__, __,__,(Q3is here)__,__,__
A. The first 3 lines are 3 pieces of data in the first quartile.
B. here are 6 pieces of data between the 1st and 3rd quartiles.
D. There are 3 pieces of data in the upper quartile.
X=58 the exterior angle is “D” 60degrees
Speed is computed by dividing total distance by total time.
Speed = Total Distance / total time
From the above formula, we can derive the formula of time and distance.
Time = Distance / Speed
Distance = Speed x time