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3 years ago

Find the product (x+2)(x+3)

Mathematics

1 answer:

Katyanochek1 [597]3 years ago

5 0

Answer:

$x^{2}$ +5x+6.

Step-by-step explanation:

Here you can use the foil method.

1. Multiply x by x to get $x^{2}$ .

2. Multiply x by 3 to get 3x.

3. Multiply 2 by x to get 2x.

4. Multiply 2 by 3 to get 6.

Now, you have to add all those terms to get $x^{2}$ +3x+2x+6 and you can simplify that to $x^{2}$ +5x+6.

You might be interested in

Identify a pattern in the given list of numbers. Then use this pattern to find the next number.

Rom4ik [11]

Answer:

The given sequence is geometric sequence

In the given pattern we have next number is $a_5=\frac{1}{4}$

Step-by-step explanation:

Given numbers are 64,-16,4,-1

To identify the pattern of the given numbers :

Let $a_1=64$ , $a_2=-16$ , $a_3=4$ and $a_4=-1$

To find the next number that is $a_5$

common ratio $r=\frac{a_2}{a_1}$

$=\frac{-16}{64}$

$r=-\frac{1}{4}$

$r=\frac{a_3}{a_2}$

$=\frac{4}{-16}$

$r=-\frac{1}{4}$

Therefore the common ration is $r=-\frac{1}{4}$

Therefore the given sequence is geometric sequence

The nth term of the geometric sequence is $a_n=a_1r^{n-1}$

Now find the 5th term so put n=5 , $a_1=64andr=\frac{-1}{4}$ we have

$a_5=64(\frac{-1}{4})^{5-1}$

$=64(\frac{-1}{4})^{4}$

$=64(\frac{1}{4})^{4}$

$=64(\frac{1}{4}\times \frac{1}{4}\times \frac{1}{4}\times \frac{1}{4})$

$=\frac{1}{4}$

Therefore $a_5=\frac{1}{4}$

8 0

3 years ago

A car travels the 120 miles from A to B at 60 miles per hour, and then returns to A on the same road. If the average rate of the

inessss [21]

Outbound Trip 120 miles 60 mph equals 2 hours

Return Trip 120 miles

Total Trip 240 miles at 45 mph average speed

Total time = distance / rate = 240 / 45 = 5.3333333333 Hours

The return trip of 120 miles takes (5.3333333333 Hours MINUS 2 hours)

Return Trip Speed = 120 / 3.333333333 = 36 miles per hour

5 0

4 years ago

Gabrielle is 12 years younger than Mikhail. The sum of their ages is 36 . What is Mikhail's age?

ololo11 [35]

X = age of Mikhail

x+x-12 = 36
2x= 36 + 12
2x = 48
x = 48/2
x= 24

3 0

3 years ago

Read 2 more answers

5x 2 1/8 Can you explain please

Lady bird [3.3K]

Answer:It is in the DMAS rule

Step-by-step explanation:5*21/8

=5*2

=10

pls mark me brainliest

8 0

3 years ago

A researcher is interested in the texting habits of high school students in the United States. The researcher selects a group of

vlabodo [156]

Answer:

(a)High school students in the United States.

(b)100 Students

(c)Statistic

Step-by-step explanation:

(a)Since the researcher is interested in the texting habits of high school students in the United States, the population for this study consists of all high school students in the United States.

(b)It is most often improbable to carry out research on an entire population of study. A sample is taken to represent the population and the results obtained from the sample are assumed to hold for the entire population.

In the given study, the researcher selects a group of 100 students to represent the High School students in the United States. This is the sample for the study.

(c)The researcher calculated the average number of text messages that each individual sends each day from the sample of 100 Students. This is an example of a Statistic. A statistic is a numerical data obtained from a sample.

Note: If the data were obtained from the entire population, it would be a parameter.

3 0

3 years ago