Answer:
First point: (1,0)
Second Point: (2,1)
Third Point: (3,2)
Fourth Point: (8,7)
Step-by-step explanation:
For the first two points, you have to plot the two pairs of coordinates that are given. After this, you have to plug the x values into the equation to get the missing y values.
For example: The third point
X= 3
Y= X - 1
Y= 3 - 1
Y=2
So this means that the third coordinate is (3,2)
For function

we have that

. This means that period of cosine function is π. Then from the formula for period

you obtain that

and b=2.
So, the function is

. If f(0)=4, then

and, respectively, a=4.
Answer: 
.
Answer:
Pedro age = 54 ; Jorge age = 18
Step-by-step explanation:
Pedro age = P
Jorge age = J
3J = P
J + P = 72
we have to substitute the value of P in the second equation
J + 3J = 72
we have solve the equation
4J = 72
J = 18
we have to subistute this value in the first equation
3*18 = P
P = 54
Answer:
We have the following function:
f (x) = 5 • 2 ^ x
We can make a table to represent the function.
For this, we will evaluate the function for some values of x.
We have then:
f (0) = 5 • 2 ^ 0 = 5 * 1 = 5
f (1) = 5 • 2 ^ 1 = 5 * 2 = 10
f (2) = 5 • 2 ^ 2 = 5 * 4 = 20
f (3) = 5 • 2 ^ 3 = 5 * 8 = 40
f (4) = 5 • 2 ^ 4 = 5 * 16 = 80
f (5) = 5 • 2 ^ 5 = 5 * 32 = 160
Answer:
The table that represents the function is:
0 5
1 10
2 20
3 40
4 80
5 160
The correct formula that must be used is y=x/16. Variable 'x' represents the total mass of ice cream in the container. Mass of ice cream per serving is represented by the variable 'y'. The total mass of ice cream is divided by sixteen to determine the number of grams per serving.