1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ainat [17]
3 years ago
5

F(x) = (x - 2)²(x+1)​

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

(x - 2)²(x+1)​

(x-2)(x-2)

multiply the two brackets together

(x)(x)=x^2

(x)(-2)=-2x

(-2)(x)=-2x

(-2)(-2)=4

x^2-2x-2x+4

x^2-4x+4

(x^2-4x+4)(x+1)

multiply the brackets together

(x^2)(x)=x^3

(x^2)(1)=x^2

(-4x)(x)=-4x^2

(-4x)(1)=-4x

(4)(1)=4

x^3+x^2-4x^2-4x+4x+4

Answer:

x^3-3x^2+4

You might be interested in
Question 18
Svetlanka [38]

Answer:

Step-by-step explanation:

J and K are equal

8x - 23 = 6x + 11            Add 23 to both sides

8x = 6x + 11 + 23           Combine the right

8x = 6x + 34                  Subtract 6x from both sides

8x - 6x = 34                   Combine the left

2x = 34                           Divide by 2

x = 34/2

x = 17

=================================

M and L are both supplementary to J and K respectively.

J = 8x - 23

J = 8*17 - 23

J = 136-23

J = 113

K = 113

===================================

M + 113 = 180

M = 180 - 113

M = 67

L = 67

5 0
2 years ago
Using the graph, determine the coordinate of the vertex of the parabola.
Sever21 [200]

Answer:

The coordinates for the vertex are ( -6 , 1 )

6 0
3 years ago
There are 68 calories in 1 serving of cereal. If a bowl holds 7 ​servings, how many calories are in the​ bowl?
maria [59]

Answer:

476

Step-by-step explanation:

68 \times 7 = 476

because there are 68calories per serving and there are 7 servings

6 0
3 years ago
<img src="https://tex.z-dn.net/?f=5%20%3C%203%20%2B%20w" id="TexFormula1" title="5 &lt; 3 + w" alt="5 &lt; 3 + w" align="absmidd
Natalija [7]
5-3 < w
2 < w
Hence, w is bigger than 2
3 0
3 years ago
The National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time requir
Paha777 [63]

Answer:

95​% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

Step-by-step explanation:

We are given that the National Center for Education Statistics surveyed a random sample of 4400 college graduates about the lengths of time required to earn their bachelor’s degrees. The mean was 5.15 years and the standard deviation was 1.68 years respectively.

Firstly, the pivotal quantity for 95% confidence interval for the population mean is given by;

                              P.Q. =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \bar X = sample mean time = 5.15 years

            \sigma = sample standard deviation = 1.68 years

            n = sample of college graduates = 4400

            \mu = population mean time

<em>Here for constructing 95% confidence interval we have used One-sample z test statistics although we are given sample standard deviation because the sample size is very large so at large sample values t distribution also follows normal.</em>

<u>So, 95% confidence interval for the population mean, </u>\mu<u> is ;</u>

P(-1.96 < N(0,1) < 1.96) = 0.95  {As the critical value of z at 2.5%

                                               level of significance are -1.96 & 1.96}  

P(-1.96 < \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } < 1.96) = 0.95

P( -1.96 \times {\frac{\sigma}{\sqrt{n} } } < {\bar X-\mu} < 1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

P( \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } < \mu < \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ) = 0.95

<u>95% confidence interval for</u> \mu = [ \bar X-1.96 \times {\frac{\sigma}{\sqrt{n} } } , \bar X+1.96 \times {\frac{\sigma}{\sqrt{n} } } ]

                                              = [ 5.15-1.96 \times {\frac{1.68}{\sqrt{4400} } } , 5.15+1.96 \times {\frac{1.68}{\sqrt{4400} } } ]

                                             = [5.10 , 5.20]

Therefore, 95​% confidence interval for the mean time required to earn a bachelor’s degree by all college students is [5.10 years , 5.20 years].

8 0
3 years ago
Other questions:
  • Which expression is a difference of cubes?
    11·1 answer
  • A very large book has pages numbered from 1 to 11521. How many times is the digit 3 printed? Helppp
    6·1 answer
  • Please help with this​
    9·1 answer
  • Show Your Work
    14·1 answer
  • Simplify: -23wº + (-14wº)
    13·1 answer
  • Toni attempted to solve an equation but made an error. What is her error, and which step did she make it in? 2x-3(1-x)+7= -5x st
    13·2 answers
  • What is the linear function equation represented by the graph?
    8·2 answers
  • What’s 6r+3=4r-11?????
    14·2 answers
  • A line with a slope of 0.20 passes through
    12·1 answer
  • What is the value of the function f(x) = 2x + 3 for an input value of 3? (a)6(b) 12(c) 3 (d)9
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!