Answer:
f(x) = 60-2x
Step-by-step explanation:
Suppose that f(x) = y is a happiness function. It is a function of the number of hours you spend on Instagram per day. That means that the output of the function will be a "happiness score",i.e. the value between 0 and 100, and the variable <em>x </em>will be an output value, the hours spent on Instagram daily.
We know that if we spend 0 hours on Instagram per day the happiness score will be 60, which means that:
f(0) = 60
If we spend 1 hour per day on Instagram our level of happiness will be decreased by 2, i.e. 60-2 = 58. Therefore,
f(1) = 58
If we spend 2 hours on Instagram per day our level of happiness will be decreased even more, i.e. 58-2 = 56. Therefore,
f(2) = 56
Notice that 56 = 60-4 = 60-2*2
If we spend 3 hours on Instagram per day our level of happiness will be decreased even more, i.e. 56-2 = 54. Therefore,
f(3) = 54
Notice that 54 = 60-6 = 60-3*2
Now we can see the pattern from which the level of happiness can be calculated. It is 60 decreased by the number of hours multiplied by 2.
Hence, the "happiness function" is:
f(x) = 60-x*2 = 60-2x, where x is a number of hours spent on Instagram.
Answer:
zero (0)
Step-by-step explanation:
-4^0=-1
-1+1=0
Answer:
Option C
Step-by-step explanation:
You forgot to attach the expression that models the cost of the camping trip during the three days. However, by analyzing the units, the answer can be reached.
The total cost has to be in units of $.
There are two types of costs in the problem:
Those that depend on the number of days ($/day
)
Those that depend on the number of students and the number of days ($/(student * day))
If there are 3 days of camping and b students, then you have to multiply the costs that depend on the days by the number of days (3), and the costs that depend on the number of students you have to multiply them by 'b'
So, if the costs that must be multiplied by 'b' are only those that depend on the number of students, the coefficient of b must be:
3 days (Cost of training + Cost of food Miscellaneous expenses :).
Therefore the correct answer is option C:
C. It is the total cost of 3 days per student of Mr. Brown, with training, food and miscellaneous expenses.
The expression that represents the total expense should have a formula similar to this:
![y = (3 days) *([\frac{20.dollars}{(day * student)} + \frac{30.dollars}{(student * day)} + \frac{50.dollars}{(student * day)}] b + \frac{200}{day}) + 1050.dollars](https://tex.z-dn.net/?f=y%20%3D%20%283%20days%29%20%2A%28%5B%5Cfrac%7B20.dollars%7D%7B%28day%20%2A%20student%29%7D%20%2B%20%5Cfrac%7B30.dollars%7D%7B%28student%20%2A%20day%29%7D%20%2B%20%5Cfrac%7B50.dollars%7D%7B%28student%20%2A%20day%29%7D%5D%20b%20%2B%20%5Cfrac%7B200%7D%7Bday%7D%29%20%2B%201050.dollars)
y = 3 ($ 100b + $ 200) + $ 1050
Answer:
so the which page that will have the 3 sticker, we must solve the least common multiple of 30, 50, 60. A common multiple is a number that is a multiple of two or more numbers. The common multiples of 3 and 4 are 0, 12, 24, ....
The least common multiple (LCM) of two numbers is the smallest number (not zero) that is a multiple of both.
so the least common multiple of 30, 50 and 60 is 300. so the page that will have 3 stickers is 300th page
Step-by-step explanation:
The price of the small pots is $2.40 so you would have 2.4s ( multiply the number of small pots by the price)
She bought a total of 14 pots, so the number of large pots would be 14 - s ( subtract the number of small pots from the total )
Now you have:
L = 14-s
2.4s + 5.6(14-s) = 49.6
The answer is C.