We are given function f(a) = 1.07a for total amount including sales tax.
g(b) = b+50 total cost including delivery.
We need to write function g(f(a)).
g(f(a)) = g of f(a).
We need to substitute function f(a) in g(b) function for b.
g(f(a)) = g(1.07a) = 1.07a +50.
<h3>Therefore, g(f(a)) = 1.07a +50.</h3>
We are given mattress price a = $1125.
In order to find the total cost including delivery charges, we need to plug a= 1125 in the above function 1.07a +50.
Plugging a= $1125, we get
g(1125) = 1.07a +50 = 1.07*1125 +50 = 1203.75 +50 = 1253.75.
<h3>Therefore, total cost including delivery charges is $1253.75.</h3>
2p Determine the value of a such that the system of equations below would have an infinite number of solutions?
18x + 12y = 36
ax – 8y =- 24
Answer: a=-12
Answer:
75.36cm
Step-by-step explanation:
We use the pithagorean theorem: height^2 = 152^2 - 132^2 = 5680;
height = 
B is true because the second graph has a lower average
Answer:
The ball will be the 7 ft high at 2 different times.
Step-by-step explanation:
The height in meters of the ball is given by the following equation:

7 feet high
The height, by the equation, is given in meters, so we have to work in meters. Since each feet has 0,3048 meters, 7 feet have have 2.1336 meters. So, we have to solve the following equation


At how many different times will the ball be 7 ft. High?
We have to find the number of solutions for the equation above.
It is given according to the value of
. If it is positive, there are two solutions, zero one solution and negative no solutions.
In this equation
. So

Since the coefficient is positive, the ball will be the 7 ft high at 2 different times.