Answer:
<em>w = 12 cm </em>and <em> l = 20 cm</em>
Step-by-step explanation:
Answers:
- Total equation: x+y = 80
- Legs equation: 2x+4y = 248
- How many ducks? 36
- How many cows? 44
====================================================
Further explanation:
- x = number of ducks
- y = number of cows
x+y = 80 is the total equation (ie the head count equation) since we assume each animal has 1 head, and there are 80 heads total.
That equation can be solved to y = 80-x after subtracting x from both sides.
The legs equation is 2x+4y = 248 because...
- 2x = number of legs from all the ducks only
- 4y = number of legs from all the cows only
- 2x+4y = total number of legs from both types of animals combined
We're told there are 248 legs overall, so that's how we ended up with 2x+4y = 248
------------
Let's plug y = 80-x into the second equation and solve for x.
2x+4y = 248
2x+4( y ) = 248
2x+4( 80-x ) = 248
2x+320-4x = 248
-2x+320 = 248
-2x = 248-320
-2x = -72
x = -72/(-2)
x = 36
There are 36 ducks
Now use this x value to find y
y = 80-x
y = 80-36
y = 44
There are 44 cows.
------------
Check:
36 ducks + 44 cows = 80 animals total
36*2 + 44*4 = 72 + 176 = 248 legs total
The answers are confirmed.
Answer:
Yes, the given table represent an exponential function.
Step-by-step explanation:
Given table is :
x y
1 4
2 16
3 64
4 256
Now we need to identify if the given table represent an exponential function or not. To find that we need to check if we can write the numbers in y-column in form of exponential function 
.
We see that y-values are basically powers of 4 so we can write the related function as 
.
Which is clearly in form of .
Hence yes, the given table represent an exponential function.
Answer:
I don't know I don't know I don't know
Answer:
f(0) = 1
Step-by-step explanation:
Assuming the graph is a function of x, then f(0) = 1.
Plug in 0 for x and ask yourself what is the y coordinate?
