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3 years ago

11

(a2 + 2a + 1)(a + 1)

2 answers:

GrogVix [38]3 years ago

7 0

$(a^2+2a+1)(a+1)=(a^2)(a)+(a^2(1)+(2a)(a)+(2a)(1)+(1)(a)+(1)(1)\\\\=a^3+a^2+2a^2+2a+a+1=\boxed{a^3+3a^2+3a+1}$

zmey [24]3 years ago

4 0

Just distribute. a^2 x a is a^3. 2a x a is 2a^2. 1 x a is a. So far we have a^3 +2a^2+a. Now do the other side. a^2 x 1 is a^2. 2a x 1 is 2a. And 1 x 1 is 1. Now we combine like terms. 2a^2 + a^2 is 3a^2. 2a + a is 3a. Now we just write the equation. a^3+3a^2+3a+1 is the answer.

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Mark is planning to apply to a college in Indianapolis. The breakdown of the cost per year of college is given below.

SpyIntel [72]

Answer:

It is the total cost of housing and plane tickets for four years.

Step-by-step explanation:

Mark's costs for tuition, technology fee, and books are all per semester, s. ($2,600 + $150 + $310)s = $,060s

The cost for housing and plane tickets are a once a year cost. Mark pays these amounts once a year for four years.4($5,600 + $289) = $23,556

Therefore, the constant in the expression is $23,556, and it is the total cost for housing and plane tickets for four years.

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3 years ago

Which choice is equivalent to the expression below when x 0?

irina [24]

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3 years ago

Read 2 more answers

A yogurt costs 35 pence. How many yogurts can be bought with 3 pounds?

julsineya [31]

1 pound = 100 pence
3 pounds = 300 pence

35 pence = 0.35 pounds

So 300/35 = 8 yogurts (with left 35*8 = 280
300-280 = 20 pence)

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3 years ago

Kendrick received 24 fewer e-mails than he did on Thursday. If he received a total of 126 e-mails on those two days, how many di

telo118 [61]

E+(e-24)=126

2e-24=126

2e=150

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3 years ago

during a particular period a university's information technology office received 20 service orders for problems with printers, o

stira [4]

Answer:

0.2384 = 23.84% probability that 3 were laser printers.

Step-by-step explanation:

The printers will be chosen without replacement, which means that the hypergeometric distribution is used to solve this question.

Hypergeometric distribution:

The probability of x sucesses is given by the following formula:

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

In which:

x is the number of sucesses.

N is the size of the population.

n is the size of the sample.

k is the total number of desired outcomes.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this question:

20 orders means that $N = 8$

8 were laser printers, which means that $k = 8$

Sample of 5 means that $n = 5$

What is the probability that 3 were laser printers?

This is P(X = 3).

$P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}$

$P(X = 3) = h(3,20,5,8) = \frac{C_{8,3}*C_{12,2}}{C_{20,5}} = 0.2384$

0.2384 = 23.84% probability that 3 were laser printers.

4 0

3 years ago