In words:
Three sandwiches, each costing $5.25, equals 1/3 of Cassie's total money
We can write the formula:
(5.25*3)=1/3x
Now solve:
15.75=1/3x
3(15.75)=x
x=$47.25
Hope this helps!!
Answer:
The equivalent expression is;
Step-by-step explanation:
The given expression is:
Recall that:
In our case, 
and 
.
We use this property of exponent to obtain;
When there are no gaps or breaks on the graph, a function is continuous. When a function fails to be continuous, it is said to be discontinuous at that location.
<h3>What is Continuity in Calculus?</h3>
A function is continuous when there are no gaps or breaks in the graph. These gaps or breaks can be easily seen in a graph. They are also easily stated as holes, jumps, or vertical asymptotes. However, in calculus, you must be more specific in your definition of continuity.
There are three conditions that must be met in order to state a function is continuous at a certain point.
A function f(x) is continuous at a point a if only if the following three conditions are satisfied:
1.)f(a) is defined
2.)lim x→a f(x) exists
3.)lim x→a f(x)=f(a)
Therefore, A function is discontinuous at a point a if it fails to be continuous at a.
Learn more about Continuity here
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The best way to justify which answers are correct are to calculate the circumference and the area for each of the circles with the given radii. I organized this information into a chart.
Circumference | Area
1/2 3.14 0.785
1 6.28 3.14
1 1/2 9.42 7.065
2 12.56 12.56
2 1/2 15.7 19.625
The first three choices will result in a numerical value for the radius that is smaller than the area.
.