Answer:
(x+1)(x²-4x+1)
Step-by-step explanation:
f(x) = x³-3x²-3x+1
= (x³+1) - 3x (x+1)
= (x+1)(x²-x+1) - 3x(x+1)
= (x+1)(x²-x+1-3x)
= <u>(x+1)(x²-4x+1)</u>
<u />
** (x+1)(x²-4x+1) = (x+1)((x-2)² - 3)
= (x+1)((x-2)² - (√3)²)
= (x+1)(x-2-√3)(x-2+√3)
Answer:
3.5 hours
Step-by-step explanation:
The buses are separating from each other at a speed of 73+79 = 152 miles per hour. Since time = distance/speed, the time it takes to be 532 miles apart is ...
time = (532 miles)/(152 miles/hour) = (532/152) hours = 3.5 hours
Distances are considered to be non-negative in all cases.
The absolute value function is necessary to get a positive result when the difference of coordinate values is negative.
The square root function is defined to return a positive result always, so no absolute value function is required when the distance is found using the square root function.
Answer:
Finding the average is a very straightforward concept. If you have a set of numbers, the average is found by adding all numbers in the set and dividing their sum by the total number of numbers added in the set.
example;
16, 17, 5, 27, 30, 20, 4, 1, 19, 9
add all 10 of these numbers together
16 + 17+ 5+27+30+4+1+19+9 = 148
divide 128 by 10
148 / 10 = 14.8
14.8 is the average
Answer:
slope = 
Step-by-step explanation:
calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (9, 6 ) and (x₂, y₂ ) = (4, 5 )
m = 
= 
=
