Answer:
a) P = 362880 ways
b) P = 2880 ways
Step-by-step explanation:
a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions
We have a permutation of 9 elements
P = 9!
P = 9*8*7*6*5*4*3*2*1
P = 362880 ways
b) Boys must seat together, we have two groups of people
4 boys they can seat in 4! different ways
P₁ = 4!
P₁ = 4*3*2*1
P₁ = 24
And girls can seat in 5! dfferent ways
P₂ = 5!
P₂ = 5*4*3*2*1
P₂ = 120
To get total ways in the above mentioned condition, we have to multiply P₁*P₂
P = 24*120
P = 2880 ways
The function is shifted to the right 3 units
a shift to the right is subtracted inside the function
g(x) = f(x-3)
THE SURFACE AREA IS 3220CM^2
Y X
80 32
100 x'
80x' = 100*32
80x' = 3200
x' = 3200/80
x' = 320/8
x' = 40
Answer:
When the number of sessions is equal to 10, the total cost is the same in the two plans
Step-by-step explanation:
Let
y ---> the total cost
x ---> the number of sessions
we know that
The linear equation in slope intercept form is equal to

where
m is the slope
b is the y-intercept
Planet Fitness
we have
The slope is equal to

The y-intercept or initial value is equal to

substitute
----> equation A
Gold's Gym
we have
The slope is equal to

The y-intercept or initial value is equal to

substitute
----> equation B
Equate equation A and equation B

solve for x

therefore
When the number of sessions is equal to 10, the total cost is the same in the two plans