Answer:
![\lim_{x\to 3^-} f(x)=-1](https://tex.z-dn.net/?f=%5Clim_%7Bx%5Cto%203%5E-%7D%20f%28x%29%3D-1)
Step-by-step explanation:
We have a piesewise function composed of three pieces. two line segments and one point.
The first line cuts at point (0,0) and ends at point (3, -1)
If we use these two points we can find the equation of the line.
The slope m is:
![m = \frac{y_2-y_1}{x_2-x_1}\\\\m = \frac{-1 - (0)}{3-0}\\\\m = -\frac{1}{3}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%5C%5C%5C%5Cm%20%3D%20%5Cfrac%7B-1%20-%20%280%29%7D%7B3-0%7D%5C%5C%5C%5Cm%20%3D%20-%5Cfrac%7B1%7D%7B3%7D)
So the equation is:
![y = -\frac{1}{3}x + b](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B3%7Dx%20%2B%20b)
As the line cuts in (0,0) then
and the equation is:
![y = -\frac{1}{3}x](https://tex.z-dn.net/?f=y%20%3D%20-%5Cfrac%7B1%7D%7B3%7Dx)
The equation of the second line is:
![y = -4](https://tex.z-dn.net/?f=y%20%3D%20-4)
Now we can find f(x) (although it is not necessary to find the equation of f(x) because we have its graph)
if
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.
The limit of f(x) when x tends to 3 from the left
is the limit of the function when x approaches 3 from the left. If x approaches 3 from the left then
. If
then f(x) is given by the line
. Then the limit is -1 as seen in the graph
The right answer for the question that is being asked and shown above is that: "d.8 open parentheses x plus 4 close parentheses over quantity x minus 6" The simplified that completely quantity 8 x minus 56 over quantity x squared minus 49 divided by quantity x minus 6 over quantity x squared plus 11 x plus 28 is that <span>8 open parentheses x plus 4 close parentheses over quantity x minus 6</span>
Answer:
Percent of decrease in the value is 40%.
Step-by-step explanation:
Let's find the value of y when t=1 and t=2 because need to find the decrease by percent of t increases by 1 unit.
When t=1
y=
=0.6
When t=2
y=
=0.36
Percent of decrease = 100 % -
% = 100% -60% =40%
Answer:
sorry i did not see my link
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
Remember that anything to the power of 0 is equal to 1
4.51^0 = 1
1 is your answer
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