Answer:
Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)
Answer:
So since the scale is 12 inches:5 feet, we have to divide 412 inches by 12 inches because 412 inches is the total length drawn on the scale drawing.
412/12 = 34.3
Then since each 12 inches equals 5 feet and we have 34.3 12x inches. We are just going to multiply 34.3 by 5.
34.3*5 = 171 and 2/3 feet is your actual length of the bus
Answer:
A. A(n) = 150 • (0.74)^n–1 ; 33.29 cm
Step-by-step explanation:
This is a geometric sequence.
a%5B1%5D=1.5m=150cm, r=0.74
The formula is
a%5Bn%5D=a%5B1%5Dr%5E%28n-1%29
Just substitute a1 = 150cm and r = 0.74
a%5Bn%5D=150%280.74%29%5E%28n-1%29
That's the rule.
For the second part, substitute n = 6
cm.
(132 min)/(12 mi) = (t)/(66 mi)
t = (66 mi)*(132 min)/(12 mi) = 726 min
It will take the bicyclist 726 minutes to travel 66 miles.
Answer:
n = 13
Step-by-step explanation:
The sum of the measures of the interior angles of an n-sided polygon is
(n - 2)180
Set (n - 2)180 equal to 1980 and solve for n.
(n - 2)180 = 1980
Divide both sides by 180.
n - 2 = 11
Add 2 to both sides.
n = 13
