PICTURE1: They are both 45
PICTURE2: 810
The problem is asking how much each person will need to pay. Simplifying the problem into an equation with variables (an algorithm) will greatly help you solve it:
S = Sales Tax = $ 7.18 per any purchase
A = Admission Ticket = $ 22.50 entry price for one person (no tax applied)
F = Food = $ 35.50 purchases for two people
We know the cost for one person was: (22.50) + [(35.50/2) + 7.18] =
$ 47.43 per person. Now we can check each method and see which one is the correct algorithm:
Method A)
[2A + (F + 2S)] / 2 = [ (2)(22.50) + [35.50 + (2)(7.18)] ]/ 2 = $47.43
Method A is the correct answer
Method B)
[(2A + (1/2)F + 2S) /2 = [(2)(22.50) + 35.50(1/2) + (2)7.18] / 2 = $38.55
Wrong answer. This method is incorrect because the tax for both tickets bought are not being used in the equation.
Method C)
[(A + F) / 2 ]+ S = [(22.50 + 35.50) / 2 ] + 7.18 = $35.93
Wrong answer. Incorrect Method. The food cost is being reduced to the cost of one person but admission price is set for two people.
p(x)= x-2
g(x)= 2x^3 + 3x^2 - 11x - 6
first we have to find the zero of the polynomial of x-2
p(x)= x-2 = 0
x=2
therefore,
p(x)= 2x^3 + 3x^2 - 11x - 6
p(2)= 2*2^3 + 3*2^2 - 11*2 - 6
= 2*8 + 3*4 - 11*2 - 6
= 16 + 12 - 22 - 6
= 28-28
= 0
Hope it helped u, ^_^.
Answer:
<h3>The answer is - 3</h3>
Step-by-step explanation:
The slope of a line given two points can be found by using the formula

From the question we have

We have the final answer as
<h3>- 3</h3>
Hope this helps you
Answer:
Option B.
Step-by-step explanation:
The given table of values is
x f(x)
-3 -2
-2 0
-1 2
0 2
1 0
2 -8
3 -10
4 -20
We need to find the interval for which the function f(x) is positive.
From the given table it is clear that the value of function f(x) is negative before -2 and after 1.
The function positive between x=-2 and x=1. So, we can conclude that the function f(x) is positive for the interval (-2,1).
Therefore, he correct option is B.