Answer:
A.
The y-intercept of m is less than the y-intercept of n.
Step-by-step explanation:
y-intercept of a function:
The y-intercept of a function is the value of y when 
Function n represents a cubic function that passes through the points (-1,0) and (0,2).
When
, and thus, the y-intercept is y = 2.
Function m:
When
, and thus, the y-intercept is y = -6, which is a smaller number than 2, so the y-intercept of m is less than the y-intercept of n, and the correct answer is given by option A.
The mathematical expression for the given statement is 50 + 10x
<h3>How to write a mathematical expression for this statement?</h3>
The given parameters are:
Initial distance = 50 laps
Rate of increment = 10 laps each week
Represent the number of weeks with x
So, we have:
Number of laps = Initial distance + Rate of increment * Number of weeks
This gives
Number of laps = 50 + 10 * x
Evaluate
Number of laps = 50 + 10x
Hence, the mathematical expression for the given statement is 50 + 10x
Read more about expressions at:
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Answer:
It would be 78.539...
Step-by-step explanation:
So the equation for area is π r^2. We don't have the radius but we have the diameter. Since the radius is always 1/2 of the diameter, simply divide 10/2 to get this.
Now with the radius, it can simply be plugged into the equation for the answer:
π r^2,
π 5^2,
π 25
78.539...
Answer:
x1=((2√3)/3)i
x2=-0.5
x3=-((2√3)/3)i
Step-by-step explanation:
Answer:

Step-by-step explanation:
<u><em>The complete options are</em></u>
a) x - 2y = 30
b) 4x - 3y = 30
c) 3x - 4y = 30
d) 6x - 6y = 30
The given equation is

<u>Verify option d</u>
we have

Divide by 6 both sides



therefore
and
are equivalent