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Rufina [12.5K]
2 years ago
15

1. Megan is in charge of creating a five-digit code to lock and unlock a secure room. She can use any digit from 0 through 9, an

d she can use each digit as many times as she wants. She knows she wants to start the code with a 7.
How many possible codes that start with 7 could Megan create?


10,000 codes

70,000 codes

100,000 codes

700,000 codes

2. A restaurant is serving a special lunch combo meal that includes a drink, a main dish, and a dessert. Customers can choose from 5 drinks, 6 main dishes, and 3 desserts.

How many different combo meals are possible?

Select from the drop-down menu to correctly complete the statement.

Customers can create
Choose... 14, 36, 90 or 120 different lunch combo meals.

3. Janice has room for 6 books on a shelf.

How many different ways can she arrange the books on the shelf?

Enter your answer in the box.
Mathematics
1 answer:
Slav-nsk [51]2 years ago
5 0

Answer:

Whatttttt!!!!???????!!!!!!!! sry i don;t know hehe

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Use synthetic division to find P (-10) for P(x)=2x^3+14x^2-58x
Savatey [412]
The polynomial remainder theorem states that the remainder upon dividing a polynomial p(x) by x-c is the same as the value of p(c), so to find p(-10) you need to find the remainder upon dividing

\dfrac{2x^3+14x^2-58x}{x+10}

You have

..... | 2 ...  14  ... -58
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So the quotient and remainder upon dividing is

\dfrac{2x^3+14x^2-58x}{x+10}=2x-6+\dfrac2{x+10}

with a remainder of 2, which means p(-10)=2.
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