Answer:
Step-by-step explanation:
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
<h3>
Answer: (-infinity, 7]</h3>
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Explanation:
The first interval (-infinity, 3) describes any number less than 3, so we can write x < 3 in short hand (where x is the unknown number).
The second interval (-1, 7] means we start at -1 and stop at 7. We do not include -1 but include 7. So we say that 
(ie x is between -1 and 7; exclude -1, include 7)
If you were to graph each ona number line, you would see that the too intervals have overlapping parts. The right most edge extends out as far as x = 7. There is no left most edge as it goes onforever that direction.
Therefore, the to intervals combine to get 
which turns into the interval notation answer of (-infinity, 7]
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It might help to think of it like this: x < 3 and say "x is some number that is less than 3, or it is between -1 and 7". So x could be anything less than 7, including 7 itself.
I would say the cube because it takes more space (volume) than the row of cubes
"Not sure if it makes sense but, eh...."
Answer: 4.2625
Step-by-step explanation:
11/320=x/124
11*124=320x
1364=320x
x=4.2625
Hopefully I was helpful!
