Answer:
6(x - 1)(3x + 1)
Step-by-step explanation:
Given
18x² - 12x - 6 ← factor out 6 from each term
= 6(3x² - 2x - 1) ← factor the quadratic
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term
product = 3 × - 1 = - 3 and sum = - 2
The factors are - 3 and + 1
Use these factors to split the x- term
3x² - 3x + x - 1 ( factor the first/second and third/fourth terms )
= 3x(x - 1) + 1(x - 1) ← factor out (x - 1)
= (x - 1)(3x + 1)
Hence
18x² - 12x - 6 = 6(x - 1)(3x + 1) ← in factored form
Question:
Lisa walks at an average speed of 6 km/h for 15 hours.
Dan completes the same distance in an hour. Calculate Dan's average speed.
Answer:
Step-by-step explanation:
Given
Lisa:
First, we calculate the distance covered by Lisa:
So, Dan distance can be represented as:
--- Dan completes the same distance as Lisa
-- Time to complete the distance
Dan's average speed is:
<em>Hence, Dan's average speed is 90km/hr</em>
Answer:
f(x) = -4x + 80
Step-by-step explanation:
You are given two points,
(5, 60) and (10, 40)
in order to get the equation, let's use the form slope-intercept form
m = (y1 - y2) / (x1 - x2)
m = (60 - 40) / (5 - 10)
m = 20/-5
m = -4
Get the x intercept
y = mx + b
60 = (-4)(5) + b
b = 60+20
b = 80
so the equation is
y = -4x + 80
f(x) = -4x + 80
Answer:
Mastong by skoger넞호오ㅗ노아ㅗ너너엉
Answer:
length: 5 yd
width: 4 yd
area: 20 yd^2
Step-by-step explanation:
1 yd = 3 ft
15 ft * (1 yd)/(3 ft) = 5 yd
12 ft * (1 yd)/(3 ft) = 4 yd
A = LW
A = 5 yd * 4 yd = 20 yd^2
