Step-by-step explanation:
a geometric sequence means that every term is created by multiplying the previous term by a certain constant factor. this factor is called the "common ratio".
so,
6×r = 18
r = 18/6 = 3
and a quick check tells us this works also for the next terms (18×3 = 54, 54×3 = 162), so it is indeed a geometric sequence with common ratio 3.
a0 = 6
a1 = a0 × 3 = 6×3 = 18
a2 = a1 × 3 = a0 × 3×3 = 6×3² = 54
an = a0 × 3^n = 6 × 3^n
so,
f(x) = 6×3^x, x is integer, x >=0
In the box containing the 2 plain pencils and 2 pens, there would be a 50% chance of getting a pen. In the other box containing 7 color pencils and 3 crayons there would be a 30% chance of getting a crayon.
Answer: 8 days
Step-by-step explanation:
6 miles has been paved already.
Number of miles left = 30 - 6
= 24 miles
If they are paving at 3 miles a day, the days they will take to finish is:
= 24/3
= 8 days
Answer:
the graph in the attached figure
Step-by-step explanation:
we have
isolate the variable y
Subtract 7x both sides
Divide by 3 both sides
The solution of the inequality is the shaded area below the dashed line
The equation of the shaded line is 
The slope of the dashed line is negative 
The y-intercept of the dashed line is the point 
The x-intercept of the dashed line is the point 
To graph the inequality plot the intercepts and shade the area below the dashed line
using a graphing tool
the graph in the attached figure
7 - 3 1/4 = (turn mixed number to improper fraction
7 - 13/4 = (common denominator is 4)
28/4 - 13/4 =
15/4 or 3 3/4 gallons remain in the tank
