Hi there!
Unfortunately, the set of ordered pairs does NOT represent a function! This is because there are two of the same x values. In a function, there is one input for every output. In this case, there are two of the same inputs. However, there can be two of the same outputs.
Just to clarify - Not a function
Hope this helps!! :)
If there's anything else that I can help you with, please let me know!
Answer:
2x²+2x
Step-by-step explanation:
you have f(x)= x+1 and g(x)= 2x
you must multiply the 2 polynomials
(1x·2x) +( 1·2x)
1·2=2 x^1·x^1=x²
2x²
1·2x=2x
Answer:
8 + 1.5x + 0.75y = pizza_cost
Step-by-step explanation:
It is given that every 10-inch cheese pizza costs ($8), meaning that this will be the constant.
Let (x) represent the number of inches added to the pizza. Since each extra additional inch costs ($1.5) thus one adds (1.5x) to the equation.
Let (y) represent the number of toppings. Every extra topping costs ($0.75) therefore one has to add (0.75y) to the equation.
Putting all of the elements together one gets the equation,
8 + 1.5x + 0.75y
Let y(t) represent the level of water in inches at time t in hours. Then we are given ...
y'(t) = k√(y(t)) . . . . for some proportionality constant k
y(0) = 30
y(1) = 29
We observe that a function of the form
y(t) = a(t - b)²
will have a derivative that is proportional to y:
y'(t) = 2a(t -b)
We can find the constants "a" and "b" from the given boundary conditions.
At t=0
30 = a(0 -b)²
a = 30/b²
At t=1
29 = a(1 - b)² . . . . . . . . . substitute for t
29 = 30(1 - b)²/b² . . . . . substitute for a
29/30 = (1/b -1)² . . . . . . divide by 30
1 -√(29/30) = 1/b . . . . . . square root, then add 1 (positive root yields extraneous solution)
b = 30 +√870 . . . . . . . . simplify
The value of b is the time it takes for the height of water in the tank to become 0. It is 30+√870 hours ≈ 59 hours 29 minutes 45 seconds
