F(x) = 5cos(1/2x) - 2
g(x) = 5cos(x) - 2
The period for a cosine function is 2pi/k
In the equation the k is located before the variable.
In g(x) we have 5cos (1x) -2
so the period is 2pi/1 or 2pi. This means the length of one full period of cosine will go from 0 to 2pi.
In f(x) we have 5 cos (1/2 x) - 2
so the period is 2pi/ (1/2) which is the same as 2pi * 2 or 4pi.
This means the period for the function is 4pi and the length of one full period of the cosine graph will go from 0 to 4pi.
The length of f(x) will be longer than that of g(x) .
Answer:
Step-by-step explanation:
2000x5=10,000
Answer: Everything except 3 * 129
Step-by-step explanation:
You can break 388 in half twice in order to find the answer.
Since 388/2 = 194, then 194 * 2 = 388
Since 388/4 = 97, then 97 * 4 = 388
Do note that 3 and 129 are both odd. Two odd factors can never make an even product. So that is out immediately.
Hope this helped a little bit, I tried to be quick with the explanation because I know how annoying those online things are. If you need anything explained more, just let me know.
2/9 because I know that’s it
Answer:
<em>Annie will be able to borrow</em><em> $ 7,716.00 </em>for the playground using her car a collateral (option b).
Explanation:
Interpretation of the problem:<em> to take out a loan to put a new playground in her yard for her kids, Annie offers her car which is worth $ 7,800 as collateral.</em> Since <em>the loan officer at the bank is permitted to loan Annie 92% of the value of her collateral</em>, in order to know <em>how much Annie will be able to borrow</em>, you must use<em> </em>percentage calculations.
Percent is a definition: percent is the ratio of an amount with respect to one hundreed. The mathematical expressions derived from that definition is:
- Percent, % = (amount / base) × 100
In this case, the percent that <em>the officer is permitted to loan</em> is known, <em>92%</em>, the amount to <em>borrow</em> is unknown (x), and the base is the <em>value of her car </em>(<em>the collateral</em>), <em>$ 7,800</em>, which leads to the following equation:
Now, you can solve for x:
- x = 7,800 × 92/100 = 7,800 × 0.92 = 7,176.00
In conclusion, <em>Annie will be able to borrow $ 7,716.00 for the playground using her car as collateral</em>.
