Answer:
The number of gallons of Pi Up required is 900 gallons.
Step-by-step explanation:
Two different drinks that are produced by the beverage producer are Pi Cola which contains 10% Cola and Pi Up which contains 50% cola.
A solution is to be created using Pi Cola and Pi Up to create a new product containing 40% cola.
It has been mentioned that the number of gallons of Pi Up to be used is 300 gallons.
We can write that the number of gallons of Pi Up that must be mixed with 300 gallons of Pi Cola be x gallons.
So we write the first equation and we can say that the total number of gallons of the solution is x + 300.
Equating the percentage of cola from each beverage to get the required 40% cola we can write
(0.1 × 300) + (0.5 × x) = 0.4 × ( x + 300)
If we solve for x from the above equation we get
(0.5 x + 30) = (0.4 x + 120)
⇒ 0.1 x = (120 - 30) = 90
⇒ x = 900 gallons
Therefore the number of gallons of Pi Up required is 900.
F(x)=x2,
g(x)=f(3x)=(3x)2=9x2
Now to graph y=9x2. This is a parabola (U-shape), vertex at (0, 0), symmetric aroung y axis. When x=1/3 or -1/3, then y=1.
So, try to draw the graph.
Answer:
2³ x 3²
Step-by-step explanation:
The prime factorization of a number is the process of breaking down a number to a set of prime numbers that their product will give the original number:
72
2 x 36
2 x 2 x 18
2 x 2 x 2 x 9
2 x 2 x 2 x 3 x 3
So;
The prime factorization is 2³ x 3²
Answer:
A, C and E are true.
Step-by-step explanation:
The domain is a set of natural numbers.
The recursive formula is correct:
When x = 1, f(x) = 4 and f(x + 1) = f(2) = 3/2 f(x) = 3/2 * 4 = 6.
It is also true for the other points on the graph.
D is incorrect.
E is correct exponential growth with the formula 4(3/2)^(x-1).
Answer:
Sales tax is $4.20
Step-by-step explanation:
70*6/100=4.2
