Sara and geena can both do flips in the air. the ratio of the number of flips sara can do to the number of flips geena can do is 3: 8. geena can do 120 more flips than sara. if sara increases the number of flips she can do by 3 and geena decreases the number of flips she can do by 12, what will be the new ratio of the number of flips sara can do to the number of flips geena can do?

Answer : Ratio=5:12

Explanation:

Let the number of flips Sara can do=3x

Let the number of flips Geena can do=8x

According to question,

It has given that no.of flips done by Geena is 120 more than no.of flips done by Sara, So,

⇒8x-3x=120

⇒5x=120

⇒x=120/5

⇒x=24

So, Sara can do= 3× 24=72 flips

Geena can do=8×24=192 flips

Now,

If Sara increases her flips by 3 ,

it becomes 72+3=75 flips,

Similarly,

If Geena decreases her flips by 12,

it becomes 192-12=180.

∴ Ratio becomes 75:180

=5:12

Therefore, New ratio of the number of flips Sara to the number of flips Geena is 5:12

the correct functions are

h(x) = 3x + 2  

g(x) = 2^x

step-by-step explanation:

i proceed to calculate the different values ​​of k (x)

case 1)  k(x) = g(x) ∘ h(x)

g(x) ∘ h(x)=g(h(x))

k(x) = [2]^[3x + > is the option  4. k(x) = 2^(3x + 2 )

case 2)  k(x) = g(x) + h(x)

k(x) = [2^x]+[3x + 2]=2^x+3x+> is the option  1.) k(x) = 2^x + 3x + 2

case 3)k(x) = h(x) ÷ g(x)

k(x) =  [3x + 2]/[2^x]=3x/(2^x)+2/(2^x)=3x*(2^-x)+2^(1-x)

is the option  3.)   k(x) = (3x)2^(-x) + 2^(-x + 1 )

case 4)k(x) = g(x) - h(x)

k(x) =  [2^x]-[3x + 2]=2^x-3x-> is the option  2.) k(x) = 2^x - 3x - 2 

case 5)  k(x) = g(x) × h(x)

k(x) = [2^x]*[3x + > is the option  5.) k(x) = 2^x(3x + 2)

case 6)k(x) = h(x) ∘ g(x)

h(x) ∘ g(x)=h(g(x))

k(x)=3*[2^x]+> is the option  6. k(x) = 3(2^x) +2

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b