The independent quantity is the average class size and the dependent quantity is the cost ⇒ c
Step-by-step explanation:
Lets revise the meaning of dependent and independent variables
- The dependent variable is the one that depends on the value of some other number
- The dependent variable is the output value and the independent variable is the input value
- Ex: if y = 2x + 3, x is the input and y is the out put, then is independent variable and y is dependent variable
∵ The cost of the textbook increases with the average class size
- The cost of the textbooks depends on the average of the
class size
∴ The input is the average class size
∴ The output is the cost of the textbooks
∵ The input variable is independent variable
∵ The output variable is dependent variable
∴ The average of the class size is independent
∴ The cost of the textbooks is dependent
The independent quantity is the average class size and the dependent quantity is the cost
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Given:
Let baked beans be x
Let brown sugar be y
Let biscuits be z
5x + 4y + 2z = 150 - 26
5x + 4y + 2z = 124
a can of baked beens costs half as much as a packet of biscuits:
x = 1/2 * z = z/2
a packet of sugar is 3.00 cheaper than a packet of biscuits
y = z - 3
We substitute x and y with its values:
5x + 4y + 2z = 124 ; x = z/2 ; y = z-3
5(z/2) + 4(z-3) + 2z = 124
5z/2 + 4z - 12 + 2z = 124
5z/2 + 6z = 124 + 12
2(5z/2 + 6z) = 2(136)
5z + 12z = 272
17z = 272
z = 272/17
z = 16 price of a packet of biscuits.
can of baked beans : x = z/2 ; x = 16/2 = 8
packet of sugar : y = z - 3 ; y = 16 - 3 = 13
5x + 4y + 2z = 124
5(8) + 4(13) + 2(16) = 124
40 + 52 + 32 = 124
124 = 124
Your answer is D. You simply plug in the values of each function into the function itself, and then add them together.
f(5)=36, g(-3)=5
36+5=41
Answer:
Step-by-step explanation:
y = x - 6
to find the inverse, switch x and y and solve for y
x = y - 6
x + 6 = y...rearrange
y = x + 6 <== ur inverse