Answer:
Choice D). 
is correct.
Step-by-step explanation:
Given function graph is sinusoidal so let's compare with formula 
We know that amplitude is the height from the center line to the peak (or to the trough). From graph we can see that height from the center line to the peak is 20
So amplitude A=20
In that formula, period is given by 
From graph we see that period is 
So both must be equal
cross multiplying them gives
B=4
Clearly there is no shift so C and D are 0
Now plug these values into formula
Hence choice D is correct.
Answer:
Step-by-step explanation:
⟾Collect like terms
⟾Move the variable to the left
⟾Collect like terms again
⟾Divide both sides by -3
⟾ x = 45 ÷ 3
Hope it's helps you
Answer:
Step-by-step explanation:
Let x represent the number of youth tickets purchased at the zoo.
Let y represent the number of adult tickets purchased at the zoo.
At the zoo, youth tickets cost $5 and adult tickets cost $9. A group spent a total of $90 on tickets. This means that
5x + 9y = 90
The domain of the relationship is the possible set of values of x and y that satisfies the equation. The domain of this relationship is
0 ≤ x ≤ 18
At x = 0, it means only adult tickets were purchased.
At x = 18, it means only youth tickets were purchased.
Answer:
The formula to determine the population of penguins at the end of the 7th year is:
Step-by-step explanation:
With this information, we know that the initial population at end of year 0 is 1000 penguins.
The first year will born 500 chicks (50% of the population) and also 20% of the total population will die.
We can then model the population for the end of year 1 as:
As this dynamic will continue with the years, we can generalize as:
Then, the value of the population at the end of the 7th year should be:
