Answer:
The cost of the carpet at Magic Carpet is: 90 + 9*(area of carpet)
The cost of carpet at Carpeteria is: 50 + 13*(area of carpet)
The algebraic expression for which the cost is the same is: 90 + 9*(area of carpet) = 50 + 13*(area of carpet)
The area of carpet for which the cost is the same is: 10 square yard
Step-by-step explanation:
6a) The cost for magic carpet:
This company charges a fixed fee and a price for each square yard of carpeting, therfore the expression for the cost is:
cost = 90 + 9*a
Where a is the area of carpet to be installed.
6)b) The cost for Capeteria:
This company also charges a fixed fee and a price for each square yard of carpeting, so the expression is:
cost = 50 + 13*a.
6) c) The algebraic expression for the cost to be the same in both stores:
90 + 9*a = 50 + 13*a
6) d) We need to solve the expression above for a:
50 + 13*a = 90 + 9*a
13*a - 9*a = 90 - 50
4*a = 40
a = 40/4 = 10
Answer:
The range of the graph is:
-3 ≤ y ≤ 3
Hence, option (B) is correct.
Step-by-step explanation:
We know that the range of a function is the set of values of the dependent variable 'y' for which a function is defined.
From the given graph, it is clear that the graph goes down at y=-3 and then goes up to y=3 and then goes down again.
In fact, this indicates that the range of the graph lies between y=-3 to y=3
Therefore, the range of the graph is:
-3 ≤ y ≤ 3
Hence, option (B) is correct.
The turtle that would most likely win the race is the turtle 7
<h3>How to determine the turtle with the most chance?</h3>
The turtles are given as:
Turtle = 1 to 13
When two dice are rolled and the sum of the outcomes are taken, the sample space is:
<u>Outcome Frequency</u>
2 1
3 2
4 3
5 4
6 5
7 6
8 5
9 4
10 3
11 2
12 1
The outcome 7 has the highest frequency of 6
This means that the turtle 7 has the highest chance of winning the race
Read more about probability at:
brainly.com/question/25870256
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(1/6)(36/100)<4 - (2/10)
6/100 < 38/10
3/50 < 190/50
true
