Answer:
Step-by-step explanation: To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .
Answer: i can try
Step-by-step explanation:
• Interpretation I:
Find f and g, so that
4
(f o g)(x) = —————
x² + 9
Well, there is more than one possibility.
4
For instance, It can be: f(x) = —— and g(x) = x² + 9,
x
and then you have
(f o g)(x) = f[ g(x) ]
4
(f o g)(x) = ————
g(x)
4
(f o g)(x) = ————— ✔
x² + 9
4
Another possibility for that composition: f(x) = ————— and g(x) = x²,
x + 9
and for those, you get
(f o g)(x) = f[ g(x) ]
4
(f o g)(x) = ———————
[ g(x) ]² + 9
4
(f o g)(x) = ————— ✔
x² + 9
As you can see above, there are many ways to find f and g, so the composition of those is (f o g)(x) = 4/(x² + 9).
—————
• Interpretation II:
Find f and g, so that
4
(f o g)(x) = —— + 9
x²
4
It can be: f(x) = x + 9 and g(x) = ——
x²
and then you have
(f o g)(x) = f[ g(x) ]
(f o g)(x) = g(x) + 9
4
(f o g)(x) = —— + 9
x²
2
or it could be also: f(x) = x² + 9 and g(x) = ——
x
and you have again
(f o g)(x) = f[ g(x) ]
(f o g)(x) = [ g(x) ]² + 9
(f o g)(x) = [ 2/x ]² + 9
(f o g)(x) = (2²/x²) + 9
4
(f o g)(x) = —— + 9 ✔
x²
As you can see above, there are many ways to find f and g, so the composition of those is (f o g)(x) = (4/x²) + 9.
I hope this helps. =)
Tags: <em>composite functions rational quadratic linear function algebra</em>
Answer:
<em>The volume inside the giant sugar cube is 27 cubic feet.</em>
Step-by-step explanation:
It took 54 feet² of material to build the giant sugar cube. That means, the total surface area of the cube is 54 feet²
<u>Formula for surface area of a cube</u> is: 
, where 
is the length of each edge of the cube.
So, we will get.........
Now, <u>the volume of the cube will be</u>: 
feet³
Thus, the volume inside the giant sugar cube is 27 cubic feet.
Answer:
$38.25
Step-by-step explanation:
Perimeter of a rectangle = 2W + 2L
(where W is the width and L is the length)
Given:
- width = 2.5 yd
- length = 6 yd
⇒ perimeter = (2 x 2.5) + (2 x 6)
= 5 + 12
= 17 yd
Given:
- cost of fence = $2.25 per foot
⇒ total cost = 17 x 2.25
= $38.25
