Select the correct answer. Martina creates the graph of function g by applying a transformation to function f:

f(x) = 4^x − 2
g(x) = 4^x+ 7

Which transformation did Martina apply?

A.
a horizontal shift of 9 units left
B.
a vertical shift of 9 units down
C.
a horizontal shift of 9 units right
D.
a vertical shift of 9 units up

The mean average cost of standard room per night at a hostel is ? 20.60. therefore, how much does a standard room cost per night at night-time rest days?

Lian is deciding which of two gyms to join. each gym charges a monthly rate plus a one-time membership fee. lian correctly wrote and solved a system of linear equations by substitution to compare the costs of the memberships. in her work, she substituted an expression for one variable and solved for the other. this resulted in the equation 75 = 75. what can lian conclude? one gym charges $75 per month. each gym charges $75 per month both gyms charge the same monthly rate and the same membership fee. both gyms charge the same monthly rate, but not the same membership fee.

There are a total of 75 students in the robotics club and the science club. the science club has 11 more students than the robotics club. how many students are in the science club?