Answer:
<h2>All three functions have a y-intercept.</h2>
Step-by-step explanation:
The table is attached, there you can observe functions f(x), g(x) and h(x).
Remember, when x = 0, it represents a y-intercept. So, we can deduct that all three functions have y-intercept, (0,1) for f(x), (0, -1/2) for g(x) and (0,-5) for h(x).
Also, x-values represent domain values, however, in this case, we can't say that all three function have the same domain values, because we don't know the domain defintion for each of them to determine such thing.
Additionally, in the table you can observe that f(x) has the greatest maxium, so the second choice is also false. And neither function has x-intercept.
Therefore, the only right answer is the third choice.
Answer:
x = 6, y = -8
Step-by-step explanation:
First we take the equations side by side and put them like this:
6x + 2y = 16
+ 2x - 2y = 32
8x = 48
Then solve for x.
x = 6
Then insert x back into either equation
2(5) - 2y = 32
10 - 2y = 32
solve for y,
y = -10
Answer:
The answer is 5 over 7
Step-by-step explanation:
Answer:
180 CDs
Step-by-step explanation:
So if Sam has 84 CDs, and the ratio from Sam to Alice is 7:8, we can do 84/7=12 so each number is equal to 12. Then we add up 7 and 8 and get 15, so we do 15*12 and we get 180.
The width would be 236 and the lengths would be 118
Use the equations 2L+W=472 and W*L=MAX
Change the first equation to W=472-2L and plug this into the other equation
(472-2L)(L)=MAX
472L-2L^2=M (take derivative)
472-4L=0 (set to 0 to find the max value)
4L=472
L=118
Plug into original to get W=236
Hope this helps!
