Answer:
The correct option for the function taken as r/(x + 2) - 1, is;
A. Function s has a point of discontinuity at x = -2 and a horizontal asymptote at x = -1
Step-by-step explanation:
The asymptote of the given function = Horizontal asymptote at x = -8
Therefore, the degree of the numerator and the denominator are equal and the asymptote = The ratio of the coefficient of largest exponent of the numerator and the denominator
Therefore, when we have the function r(x + 2) - 1, we have that since the largest exponent of the numerator in now larger than the largest exponent of the denominator, we have;
Thee function r(x + 2) - 1, has no asymptote
However, whereby the function is correctly written as r/(x + 2) - 1, we have that given that the function r/(x + 2), has an asymptote of 0 because the largest power of the denominator is bigger than the largest power of the denominator. the function, r/(x + 2) - 1, will have an asymptote at x = -1 and a discontinuity at x + 2 = 0 or x = -2.
Answer:
Step-by-step explanation:
The point slope form is expressed as
y - y1 = m(x - x1)
Where
m represents slope
Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis
The given line has a slope of - 6/5 and it passes through (6, 5). Therefore,
y1 = 5
x1 = 6
To determine the equation, we would substitute x1 = 6, y1 = 5 and m = - 6/5 into the point slope form equation. It becomes
y - 5 = -6/5(x - 6)
The equation for speed is:
The student ran 100 meters in 11 seconds. Our distance is 100 meters and our time is 11 seconds.
When we solve we get the following:
I am guessing since you were given the unit conversion of 1 mile = 1609 meters, you need to answer in miles per hour. If you do, you will need to use dimensional analysis:
All of the units except miles and hour cancel out, which makes this problem valid. Your answer in mph (mi/hr) would be:
20.34 miles per hour
<h2>
Answer:</h2>
cylinder
<h2>
Step-by-step explanation:</h2>
Archimedes was a brilliant mathematician. This man rose the formula of the volume of a sphere by comparing this shape to a cylinder. The volume of a sphere is hard to calculate by comparing this object to a cube. So Archimedes imagined cutting a sphere into two halves, called hemispheres. So an hemisphere gave him a flat surface, which is easier to work with. Therefore, if he'd find the volume of a hemisphere, then he'd multiply the result by 2 and would get the volume of a sphere. Then he imagined a hemisphere within a cylinder as the one shown below. Also, he imagined a cone within the same cylinder. <em>What did he find? </em>He found that the volume of the hemisphere should be equal to the volume of the cylinder minus the volume of the cone:
Then the volume of a sphere is twice this volume:
Answer:
idgi
Step-by-step explanation: