The answer is a. -7
1. Find g(2).
2. Find f(g(2)).
g(x) = x² - 6x - 7
x = 2 ⇒ g(2) = ?
g(2) = 2² - 6·2 - 7 = 4 - 12 - 7 = -15
2. f(x) = x + 8
g(2) = -15
f(g(2)) = f(-15) = -15 + 8 = -7
Answer:
The length if the garden is 21 meters.
The width of the garden is 5.25 meters.
If the scale changes to 1 cm : 9 meters, the new length of the garden is 63 meters and the new width of the garden is 15.75 meters.
The new length of the garden is 3 times as long as the original length of the garden.
Answer:
8
Step-by-step explanation:
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.
Answer:
(a) The amount of ice cream increase as temperature increases
(b)
--- equation
--- y intercept
--- slope
Step-by-step explanation:
Given
See attachment for graph
Solving (a): The relationship between the variables
From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.
In other words;
The amount of ice cream increase as temperature increases
Solving (b): The line of best fit
First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).
From (2), we select any 2 points on the line:
The slope (m) is:
So, the line of best fit is:
Substitute known values:
The y-intercept is when 
So, we have:
