The first thing we must do for this case is to define variables:
p = total number of paperclips
x = paper clips added by carmen.
The equation that models this situation is:
p = x + 37
Answer:
An equation that models the total number of paperclips in the box is:
p = x + 37
Synthetic fibers are made from raw materials such as petroleum, based on chemicals or petrochemicals [20]. These materials are polymerized into a long, linear chemical with different chemical compounds and are used to produce various types of fibers.
Answer:
It is 6ft
Step-by-step explanation:
The formula is
A= 1/2bh so now you would substitute
39= 1/2(13)h
78= 13h
6=h
Using translation concepts, the transformations are given as follows:
a) The function is horizontally compressed by a factor of 3 and shifted down one unit.
b) The function is shifted right 3 units and vertically stretched by a factor of 2.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Item a:
The transformations are:
- x -> 3x, hence the function is horizontally compressed by a factor of 3.
- y -> y - 1, hence the function is shifted down one unit.
Item b:
The transformations are:
- x -> x - 3, hence the function is shifted right 3 units.
- y -> 2y, hence the function is vertically stretched by a factor of 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Let x = number of adult tickets sold
Let x-53 = number of student tickets sold
x + x -53 = 697
2x - 53 = 697.
Add 53 to both sides to get:
2x = 750
Divide both sides by 2 to get:
x = 375
375 adult tickets were sold.