Answer:
0, 10
Step-by-step explanation:
The given function is:
![g(y) = \frac{y-5}{y^2-3y+15}](https://tex.z-dn.net/?f=g%28y%29%20%3D%20%5Cfrac%7By-5%7D%7By%5E2-3y%2B15%7D)
According to the quotient rule:
![d(\frac{f(y)}{h(y)}) = \frac{f(y)*h'(y)-h(y)*f'(y)}{h^2(y)}](https://tex.z-dn.net/?f=d%28%5Cfrac%7Bf%28y%29%7D%7Bh%28y%29%7D%29%20%20%3D%20%5Cfrac%7Bf%28y%29%2Ah%27%28y%29-h%28y%29%2Af%27%28y%29%7D%7Bh%5E2%28y%29%7D)
Applying the quotient rule:
![g(y) = \frac{y-5}{y^2-3y+15}\\g'(y)=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}](https://tex.z-dn.net/?f=g%28y%29%20%3D%20%5Cfrac%7By-5%7D%7By%5E2-3y%2B15%7D%5C%5Cg%27%28y%29%3D%5Cfrac%7B%28y-5%29%2A%282y-3%29-%28y%5E2-3y%2B15%29%2A%281%29%7D%7B%28y%5E2-3y%2B15%29%5E2%7D)
The values for which g'(y) are zero are the critical points:
![g'(y)=0=\frac{(y-5)*(2y-3)-(y^2-3y+15)*(1)}{(y^2-3y+15)^2}\\(y-5)*(2y-3)-(y^2-3y+15)=0\\2y^2-3y-10y+15-y^2+3y-15\\y^2-10y=0\\y=\frac{10\pm \sqrt 100}{2}\\y_1=\frac{10-10}{2}= 0\\y_2=\frac{10+10}{2}=10](https://tex.z-dn.net/?f=g%27%28y%29%3D0%3D%5Cfrac%7B%28y-5%29%2A%282y-3%29-%28y%5E2-3y%2B15%29%2A%281%29%7D%7B%28y%5E2-3y%2B15%29%5E2%7D%5C%5C%28y-5%29%2A%282y-3%29-%28y%5E2-3y%2B15%29%3D0%5C%5C2y%5E2-3y-10y%2B15-y%5E2%2B3y-15%5C%5Cy%5E2-10y%3D0%5C%5Cy%3D%5Cfrac%7B10%5Cpm%20%5Csqrt%20100%7D%7B2%7D%5C%5Cy_1%3D%5Cfrac%7B10-10%7D%7B2%7D%3D%200%5C%5Cy_2%3D%5Cfrac%7B10%2B10%7D%7B2%7D%3D10)
The critical values are y = 0 and y = 10.
Answer:
y=-2+8
Step-by-step explanation:
The answer is y=-2+8 because of course the slope has to be -2 as you stated in your Question. So all you have to do is change the Y-Intercept until you reach the point. Since the Slope is negative, the Y-Intercept will rise until you reach your point. You may double check my answer to see if it is right, it is up to you. If you find any fault in my answer please let me know. Have a good day!
For this case we have the following expression:
6q / 20 (q + r)
Rewriting the expression we have:
(6/20) (q / (q + r))
Simplifying we have:
(3/10) (q / (q + r))
Answer:
The simplified expression is given by:
(3/10) (q / (q + r))
Answer:
radius=diameter÷2=36÷2=13
Answer:
50$
Step-by-step explanation:
25 percent more means 1 and 1/4 of original price
aka 5/4
(5/4)(40)
50
OR
1/4 of 40 is 10
10 plus 40 is 50