Answer:
3 toppings for a total of $6.50
Step-by-step explanation:
Based on the information provided we can calculate the cost of a yogurt using the following equations for both Froyo Express (F) and The Big Chill (B) , where the variable x represents the number of toppings...
F = 5.75 + 0.25x
B = 2.75 + 1.25x
Now that we have both equations we can simply make one equal to the other and solve for x in order to calculate at what number of toppings the prices will be the same...
5.75 + 0.25x = 2.75 + 1.25x ... subtract 2.75 and 0.25x on both sides
3 = 1x ... divide both sides by 1
3 = x
Finally, we can see that at 3 toppings the total cost of both stores will be the same at $6.50
If you have ever seen a pinball machine, you would know that it is shaped like a rectangular box. Since a rectangle has two sets of equal parallel lines, then you would have to know the length and the width. Its perimeter is equal to the total length of all sides. Thus, the equation is 2L + 2W = 172 inches. However, since there is no other data other than the perimeter, I can't give a definite numerical answer. The only answer I could give is in variables. Thus, the length of the pinball machine is
2L = 172 - 2W
L= 86 - W
Answer:
m= masters degree salary and b=bachelors degree salary.
m = 2b - 45000
m + b = 112000
Substitute to get
2b - 45000 + b = 112000
3b = 156000
b = 52000
So m = 59000
Check to see if these numbers work
59000 = 2*52000 - 45000 true
59000 + 52000 = 112000 true
Step-by-step explanation:
Answer:
See below.
Step-by-step explanation:
Party A
y = x^2 + 1
For each value of x in the table, substitute x in the equation with that value and evaluate y.
x = -2: y = (-2)^2 + 1 = 4 + 1 = 5
x = -1: y = (-1)^2 + 1 = 1 + 1 = 2
Do the same for x = 0, x = 1, x = 2
x y
-2 5
-1 2
0 1
1 2
2 5
Part B
Look at points (-2, 5) and (-1, 2). The change in x from (-2, 5) to (-1, 2) is 1. The change in y is -3.
Now let's look at two other points which have a change in x of 1. Look at points (0, 1) and (1, 2). The change in x from (0, 1) to (1, 2) is 1. The change in y is 1.
You can see that for the first two points, a change of 1 in x produces a change of -3 in y, but for the second two points, the same change of 1 in x produce a change of 1 in y. Since the same change of x does not always produce the same change in y, the function is nonlinear.
Answer: A