Answer:
166
Step-by-step explanation:
$15.00-$5.00= $10.00 (subtract five dollars because aiden wants to have at least five dollars left)
10.00 divided by 0.06= 166
I hope this helps! :)
Note that
1.
The x-intercepts are at points x=-3, x=0, x=2. The graph should be increasing - decreasing - increasing.
2.

The x-intercepts are at points x=-2, x=0, x=3. The graph should be increasing - decreasing - increasing.
3.

The x-intercepts are at points x=-3, x=0, x=2. The graph should be decreasing - increasing - decreasing.
4.

The x-intercepts are at points x=-2, x=0, x=3. The graph should be decreasing - increasing - decreasing.
From the diagram you can see that x-intercepts are at points x=-3, x=0, x=2 and the graph is decreasing-increasing-decreasing.
Answer: correct choice is 3.
Answer:
The value of x that gives the maximum transmission is 1/√e ≅0.607
Step-by-step explanation:
Lets call f the rate function f. Note that f(x) = k * x^2ln(1/x), where k is a positive constant (this is because f is proportional to the other expression). In order to compute the maximum of f in (0,1), we derivate f, using the product rule.

We need to equalize f' to 0
- k*(2x ln(1/x) - x) = 0 -------- We send k dividing to the other side
- 2x ln(1/x) - x = 0 -------- Now we take the x and move it to the other side
- 2x ln(1/x) = x -- Now, we send 2x dividing (note that x>0, so we can divide)
- ln(1/x) = x/2x = 1/2 ------- we send the natural logarithm as exp
- 1/x = e^(1/2)
- x = 1/e^(1/2) = 1/√e ≅ 0.607
Thus, the value of x that gives the maximum transmission is 1/√e.
Answer:
<u>The original three-digit number is 417</u>
Step-by-step explanation:
Let's find out the solution to this problem, this way:
x = the two digits that are not 7
Original number = 10x+7
The value of the shifted number = 700 + x
Difference between the shifted number and the original number = 324
Therefore, we have:
324 = (700 + x) - (10x + 7)
324 = 700 + x - 10x - 7
9x = 693 - 324 (Like terms)
9x = 369
x = 369/9
x = 41
<u>The original three-digit number is 417</u>
Answer:
a=3
Step-by-step explanation:
The formula for direct proportion is
f = ka
Let f= 42 and a = 7
42 = k*7
Divide each side by 7
42/7 = k7/7
6 =k
f = 6a
Let f = 18
18 = 6a
Divide each side by 6
18/6 = 6a/6
3 =a