Answer:
The steps are numbered below
Step-by-step explanation:
To solve a maximum/minimum problem, the steps are as follows.
1. Make a drawing.
2. Assign variables to quantities that change.
3. Identify and write down a formula for the quantity that is being optimized.
4. Identify the endpoints, that is, the domain of the function being optimized.
5. Identify the constraint equation.
6. Use the constraint equation to write a new formula for the quantity being optimized that is a function of one variable.
7. Find the derivative and then the critical points of the function being optimized.
8. Evaluate the y-values of the critical points and endpoints by plugging them into the function being optimized. The largest y- value is the global maximum, and the smallest y-value is the global minimum.
Answer:
172,146
Step-by-step explanation:
you can use the exponential growth formula and get y=127000(1.052)^6. after that, you can just solve (make sure you use PEMDAS) and get 172,146.
Answer:
The third answer. ( John's boat was farther from the deck at the beginning but Roberta's boat traveled more quickly)
Step-by-step explanation:
You already know that in the beginning John's boat begins 20 miles from the dock. Now you need to find Roberta! When each boat begins from the dock, it means when x=0. So lets insert that! y= 6(0)+15. You get 15. Now you know that its either the 3rd or 4th answer. The second piece of info you have for John is that it is 45 miles from the dock after 5 hours. Again, in the beginning it started with 20 miles. 45-20= 25 miles TRAVELED in 5 hours. For Roberta, we need to insert 5 in the equation for x. y=6(5)+15. You get: 45 again! But... Roberta started at 15 miles. So 45-15 is 30 miles. She traveled 30 miles in 5 hours. The only answer that is matching to our problem solving is the third answer. Hope this helps!
Answer:
z^2 + (-1 + 5·i)·z + 14 - 7·i = 0
(1 + 2·i)^2 + (-1 + 5·i)·(1 + 2·i) + 14 - 7·i = 0
(1 + 4·i - 4) + (-1 - 2·i + 5·i - 10) + 14 - 7·i = 0
0 = 0 --> true
z^2 + (-1 + 5·i)·z + 14 - 7·i = 0
(1 - 2·i)^2 + (-1 + 5·i)·(1 - 2·i) + 14 - 7·i = 0
(1 - 4·i - 4) + (-1 + 2·i + 5·i + 10) + 14 - 7·i = 0
20 - 4·i = 0 --> false
Answer:
5
Step-by-step explanation
First, change 1 2/3 into an improper fraction which is 5/3.
Then, you have to divide 5/3÷1/3. Change 1/3 to its reciprical which is 3/1.\
You next multiply 5/3×3/1 multiply across the top and bottom you get 15/3 which equals 5
