Answer:
Explanation:
fg(x) = (x+2)(3x^2 - 1)
= 3x^3 - x + 6x^2 - 2
= 3x^3 + 6x^2 - x - 2
gf(x) = (3x^2 - 1)(x + 2)
= 3x^3 + 6x^2 - x - 2
As you can see:
fg(x) = gf(x)
3x^3 + 6x^2 - x - 2 = 3x^3 + 6x^2 - x - 2
Answer:
240 miles
Step-by-step explanation:
Step 1
We find the constant rate at which the family travels
Speed(Rate) = Distance/Time
A Family travels at a constant rate and drove 420 miles in 7 hours.
Speed(Rate) = 420 miles/7 hours
= 60 miles per hour
Step 2
If they drive at the same speed ,How many miles will they drive in the next four hours.?
We are to finally calculate the distance for the next 4 hours
Distance = Speed × Time
Speed = 60 miles per hour
Time = 4 hours
Distance = 60 miles per hour × 4 hours
Distance = 240 miles
Therefore, for the next 4 hours the number of miles they would drive is 240 miles
The maximum weight on a roller coaster is 400 pounds (Max = 400).
If your friend weighs 120 pounds (y = 120), what is the most you can weigh so you can ride together (x + y < 400).
x + 120 <_ 400.
y = 120
Subtract 120 from both sides.
x <_ 280.
You can weigh at most 280 pounds (x <_ 280).
I hope this helps!
Answer:
Tax = $12 Tip = $18 Total Cost = $130
Step-by-step explanation:
tax = tax percentage x amount
0.12 x 100 = 12
tip = tip percentage x amount
0.18 x 100 = 18
The Total Cost
total cost = cost + tax + tip
100 + 12 + 18
Add them up and it would be
$130
Answer:
The length of the slide he needs to make = AC = L = 14.3 ft
Step-by-step explanation:
From the Δ ABC
AC = Length of the slide = L
AB = 9 ft
°
From Δ ABC

Put all the value in the above formula


L = AC = 14.3 ft
Therefore the length of the slide he needs to make = AC = L = 14.3 ft