Answer:
(g o h)(t) = -4t² - 16t + 3
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(t) = -4t + 3
h(t) = -t² + 4t
(g o h)(t) = g(h(t))
<u>Step 2: Find</u>
- Substitute: (g o h)(t) = -4(t² + 4t) + 3
- Distribute -4: (g o h)(t) = -4t² - 16t + 3
And we have our final answer!
Recipe 1 : 4 cups oj with 6 cups pineapple.....ratio of 4/6 reduces to 2/3
recipe 2 : 6 cups oj with 9 cups pineapple...ratio 6/9 reduces to 2/3
recipe 3 : 9 cups oj with 12 cups pineapple....ratio 9/12 reduces to 3/4
so recipe 1 and recipe 2 will taste the same because the ratios are the same...and recipe 3 will be the different tasting one because it has a different ratio mixture
Answer:
To the number of cases in the stack hope this helped
Step-by-step explanation:
Answer:
22 years.
Step-by-step explanation:
(continued), How long will it take the 5000 Swiss Francs to accrue to 10000 = 2 x 5000 Swiss Francs.
Define T as
T = the time to double the investment.
Then, we have that
10000 = 5000(1 + 3.25%)^T
2 = (1 + 0.0325)^T
2 = (1.0325)^T
ln(2) = ln [ (1.0325)^T ]
ln(2) = T ln (1.0325)
T = ln(2) / ln(1.0325)
T = 21.6723317643
T = 22 years, rounded to the nearest year.
Answer:
Correct choice is A
Step-by-step explanation:
If a function has an inverse, then there is at most one x-value for each y-value.
The tangent function is periodic with period Hence, at each value for which is defined, for each integer n. Therefore, the function does not have an inverse. Since tangent is not a one-to-one function, the domain must be limited. From examining the graph of the tangent function, we see that in each interval of the form
where k is an integer, the tangent function assumes every value in its range. Moreover, in each such interval, each y-value is achieved exactly once. Hence, we can create an invertible function by restricting the domain tangent function to one such interval. Such interval is an interval between two consecutive vertical asymptotes and