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romanna [79]
3 years ago
15

Factor x3 + x2 + x + 1 by grouping. What is the resulting expression?

Mathematics
2 answers:
Scilla [17]3 years ago
7 0
To factor by grouping, you group up the 1st 2 terms together and the last 2 terms together and then factor those pieces.

(x^3 + x^2) + (x + 1)
x^2(x + 1) + 1(x +1) - now factor out the (x + 1)
(x + 1)(x^2 + 1) - final answer

Lisa [10]3 years ago
3 0

Answer: answer is C.


Step-by-step explanation:


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A force of 60 N is used to stretch two springs that are initially the same length. Spring A has a spring constant of 4 N/m, and
goblinko [34]

Answer:

D:Spring A is 3 m longer than spring B because 15 – 12 = 3.

Step-by-step explanation:

In this question, you should remember the Hooke's Law in physics.

The Hooke's Law simply explains that the extension that occurs on a spring is directly proportional to the load applied on it.

The mathematical expression for this law is

F=-kx

where;

F= force applied on the spring

x = the extension on the spring

k= the spring constant which varies in spring.

The question will need you to calculate the extension on the springs A and B then compare the values obtained.

<u>In spring A</u>

Force, F=60N and spring constant ,k=4 N/m

To find the extension x apply the expression;

F=-kx\\\\60=-4*x\\\\60=-4x\\\\\frac{60}{-4} =\frac{-4x}{-4} \\\\\\-15=x

Here the spring extension is 15 m

<u>In spring B</u>

Force, F=60N and spring constant , k=5N/m

To find the extension x apply the same expression

F=-kx\\\\60=-5*x\\\\60=-5x\\\\\\\frac{60}{-5} =\frac{-5x}{-5} \\\\\\-12=x

Here the extension on the spring is 12 m

<u>Compare</u>

The extension on spring A is 3 m longer than that in spring B because when you subtract the value of spring B from that in spring A you get 3m

=15m-12m=3m

5 0
3 years ago
In a random sample of 200 cars of a particular model,
Aleks04 [339]

By using proportions, We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.

Option A is correct.

First, let's set up the proportions.

A proportion is an equation in which two ratios are set equal to each other.

We have 3/200 cars with defects and we want to know X for X/10000.

So 3/200 = X/10000

Now solve for X.

3/200 = X/10000

X = \frac{3}{200} \times 10000

X = 150

So the answer is: We expect 150 defects out of the 10,000 cars if the 3 defects out of the 200 cars sampled is representative of all 10,000 cars.

Option A is correct.

Find out more information about proportions here

brainly.com/question/11609816

#SPJ4

8 0
2 years ago
Select the postulate that is illustrated for the real numbers. 2(x + 3) = 2x + 6 The commutative postulate for multiplication Mu
madam [21]

Answer:


Step-by-step explanation:

Postulate 5: If two planes intersect, then their intersection is a line.

4 0
3 years ago
Read 2 more answers
You have determined that a statistical study is biased. What does this mean? A. Errors were made in data collection. B. Particip
Natasha2012 [34]

Answer:

Participants were lead to respond in a specific way.

Explanation:

Bias (the verb) is to show influence or prejudice about a certain thing and can cause people to change how they act or what they do.

3 0
3 years ago
I need help ASAP. Please answer this equation! Combine like terms.
Pavel [41]

Step-by-step explanation:

4x+ 5x - 5 +6 +4y^3- 2y^3- 5y^3

9x + 1 + 64y - 8y - 125y

9x + 1 - 69y

8 0
3 years ago
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