G(x) = (x^2-6) / 2x
<span>g( n-5) = ( [n-5]^2 -6) / 2(n-5) </span>
<span>= ( n^2 -10n +25 -6 ) / 2(n-5) or ( n^2 -10n +25 -6 ) / (2n-10) </span>
<span>Your Answer </span>
<span>I did foil first and got n^2-10n+25 </span>
<span>then did 25-6 to get 19. </span>
<span>so n^2-10n+25 is on top.////// should have been n^2 -10n +19 </span>
<span>and the bottom is 2(n-5) so I distributed the 2 and got 2n-10 </span>
<span>so n^2-10n+25 </span>
<span>2n-10 </span>
<span>= (n^2 -10n +19) / 2(n-5)</span>
Answer:
y= 2/3x + 28/3
Step-by-step explanation:
First, write your equation as y=2/3x+b. Plug in your coordinate into the equation, it should look like this: 6=2/3(-5)+b. Multiply 2/3 by -5 to get -10/3. It should look like this: 6= -10/3+b. Add 10/3 to both sides to get your y-intercept of 28/3. Go back to your original equation and plug 28/3 into b. This is your final equation: y= 2/3x + 28/3. Hope this helped!
Answer: You will need 78 acres of pastureland
Step-by-step explanation: Take 130(cows) and divide it by 100 to give you 1.3, multiply that by 60 to get 78 acres in total.
Problem One
Call the radius of the second can = r
Call the height of the second can = h
Then the radius of the first can = 1/3 r
The height of the first can = 3*h
A1 / A2 = (2*pi*(1/3r)*(3h)] / [2*pi * r * h]
Here's what will cancel. The twos on the right will cancel. The 3 and 1/3 will multiply to one. The 2 r's will cancel. The h's will cancel. Finally, the pis will cancel
Result A1 / A2 = 1/1
The labels will be shaped differently, but they will occupy the same area.
Problem Two
It seems like the writer of the problem put some lids on the new solid that were not implied by the question.
If I understand the problem correctly, looking at it from the top you are sweeping out a circle for the lid on top and bottom, plus the center core of the cylinder.
One lid would be pi r^2 = pi w^2 and so 2 of them would be 2 pi w^2
The region between the lids would be 2 pi r h for the surface area which is 2pi w h
Put the 2 regions together and you get
Area = 2 pi w^2 + 2 pi w h
Answer: Upper left corner <<<<< Answer