Answer:
<em>7, 22</em>
Step-by-step explanation:
Let S = the smaller number.
"The larger number is 1 more than 3 times the smaller number."
The larger number is 3S + 1.
The difference between the numbers is 15, so the larger number minus the smaller number equals 15.
3S + 1 - S = 15
2S + 1 = 15
2S = 14
S = 7
The smaller number is 7.
larger number = 3S + 1 = 3(7) + 1 = 21 + 1 = 22
The larger number is 22.
Answer:
191.9
Step-by-step explanation:
(8 × 24) - (1 ÷ 10)=191.9
2 m/s²
Step-by-step explanation:
Step 1:
Let the initial velocity be 0 m/s and the final velocity be 8 m/s and the time traveled is 4 s.
From the basic science,
Acceleration = ( Final Velocity - Initial Velocity) / Time
Step 2:
Acceleration = (8-0)/4
2 m/s²
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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