Pizza is sold at a restaurant in 3 sizes: small (S), medium (M), and large (L). Customers can choose from 4 toppings to be used
on a 1-topping pizza.
The 4 toppings are green peppers (G), ham (H), pepperoni (P), and olives (O).
A customer plans to order a large or medium 1-topping pizza with any topping except pepperoni (P).
This sample space shows all the types of 1-topping pizzas. Which outcomes in the sample space show the types of pizza the customer may order? Select all correct outcomes.
The 4 toppings are green peppers (G), ham (H), pepperoni (P), and olives (O).
A customer plans to order a large or medium 1-topping pizza with any topping except pepperoni (P).
This sample space shows all the types of 1-topping pizzas. Which outcomes in the sample space show the types of pizza the customer may order? Select all correct outcomes.
1 answer:
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Answer:
7th year.
Step-by-step explanation:
We have been given that at the first year Sheila counted 12 wild turkeys, and their number increases by approximately 40% each year.
We can see that the number of turkeys is increasing exponentially. Since an exponential function is in form: , where,
y = Amount after x years.
a = Initial value or amount.
b = Rate; for growth, rate is in form 1+r, where r is in decimal form.
Upon substituting our given values we will get number of turkeys, T(n), where n is the number of years after first year.
We are also told that at the first year Sheila counted 18 white-tail deer, and their number increases by 10 additional deer per year.
We can see that change in number of deer is linear, so number of deer D(n) after n+1 years will be:
Let us equate both functions to find the number of years, when number of turkeys will be equal to number of deer.
Upon solving our equation by online calculator, we will get,
The least possible value of n is 6. Therefore, number of years after first year is 6. Hence, total number of years after which # of turkeys is more than the # of deer for the first time is 7.
Therefore, in 7th year Sheila will count more turkeys than deer.
Answer:
Parent function:
Transformed function:
Step-by-step explanation:
The given function is a rational function.
The parent rational function is .
This is a hyperbola that is found in the first and third quadrant that is asymptotic to the axes.
The transformed function is a a hyperbola that is asymptotic to the axes and it is located in the second and fourth quadrant.
The point (1,1) on the parent function corresponds to (-1,1) on the transformed function.
The point (-1,-1) on the parent function corresponds to (1,-1) on the transformed function.
We can observe that the x-coordinates were negated in each case.
This the rule for a reflection in the y-axis.
Therefore the transformed function has equation