For the polynomial x^3-7x^2+12x-6, 1 is a zero. Express g(x) as a product of linear factors.

Answers

Answer 1

Answer:

(x–1)(x²–6x+6)

Explanation:

Given that 1 is a zero, we can use synthetic division to compute the factor.

If 1 is a zero (x–1) is a factor.

Here is the process:

| 1 | 1 -7 12 -6

↓ +(1) +(-6) +(6)

↓ ↓ ↓

1 -6 6 0

→ [1]x² + [-6]x + [6]1 + [0]/x–1 =

x² – 6x + 6.

Therefore the factors are (x–1)(x²–6x+6)


Related Questions

The perpendicular sides of a triangular rug measure 3 feet and 4 feet. Calculate the perimeter of the rug. a. 39 ft c. 21 ft b. 7 ft d. 12 ft Please select the best answer from the choices provided A B C D

Answers

Answer:

D

Step-by-step explanation:

In the comments tell me if you want me to explain.

Answer:

D

Step-by-step explanation:

edge2021


Need help with this question

Answers

2,2 is correct. You’re just moving it over so you don’t really have to do anything fancy.

17,13,16,18,38,14,21,24

Answers

Answer:

if the question is asking about the next numbers the it should be: 27,30,33,36

Step-by-step explanation:

the pattern is +3 so you keep on adding

The answer is 27,30,33,36



I can Multiply a 11x6 matric by a 6x7 matrix. The resulting matrix will be ??? Can somebody help me

Answers

Answer:

The resulting matrix will be 11 * 7

Step-by-step explanation:

Given

Matrices 11 * 6 multiplied by 6 * 7

Required

The dimension of the resulting matrix

When a matrix a * b is multiplies by a matrix b * c, the resulting matrix will be: a * c

In this case:

[tex]a * b = > 11 * 6[/tex]

[tex]b * c => 6 * 7[/tex]

So, the resulting matrix will be:

[tex]a * c => 11 * 7[/tex]

find area of the shape 7ft 10ft 10ft 11ft

Answers

Answer:

what are the choices.

Step-by-step explanation:

Need help asap 10 points, provide explanation please.

Answers

Answer:

Step-by-step explanation:

Use the distance formula between points to find all sides:

[tex]d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

AB=[tex]\sqrt{13}[/tex]

BC=[tex]\sqrt{13}[/tex]

CA=[tex]\sqrt{26}[/tex]

This is a 45° 45° 90° triangle, where two of the sides are equal and the other side is the first two sides times [tex]\sqrt{2}[/tex], so yes, it is a right triangle.

Answer:

Answer D is correct.

Step-by-step explanation:

By inspection, the side lengths are {3, 4, 5}, and this triplet satisfies the Pythagorean Theorem:  3^2 + 4^2 = 5^2.  Thus this IS a right triangle.  

One could also find the lengths of the three sides using the distance formula and the endpoints of each line segment forming the triangle.

Answer D is correct.

what is 11 one fourth improper fraction ​

Answers

Answer:

Step-by-step explanation:

45/5

53.2 ÷ 0.4 ≅, estimate and then divide

Answers

Answer:

answer is unidentified 50/0

Step-by-step explanation:

Find the surface area.
16 km
10 km

Answers

Answer:

hi

Step-by-step explanation:

wich shape?

have a nice day

An unbalanced scale with 8 blocks on the left side of the scale and 3 blocks on the right side of the scale

For the image above, which action below allows the scale to be balanced?

Add 3 blocks to the right side.
Add 4 blocks to the right side.
Take away 3 blocks from the left side.
Take away 5 blocks from the left side.

Answers

Answer:

Take away 5 blocks from the left side

Step-by-step explanation:

Take away 5 blocks from the left side and then you will get 3 blocks on both sides then the scale will be balanced.

Use an Addition or Subtraction Formula to write the expression as a trigonometric function of one number. sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21

Answers

Answer:

sin(3π/7 - 2π/21)

Step-by-step explanation:

Given

sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21

Required

Write a trigonometry formula for the expression

Using sine formula, we have:

sin(A - B) = sinAcosB - cosAsinB

The above formula can be applied to the given expression where

A = 3π/7

B = 2π/21

So, the trigonometry formula is:

sin 3π /7 cos 2π/ 21 − cos 3π/ 7 sin 2π/ 21= sin(3π/7 - 2π/21)

Answer:

sin(π/3), exact value √3/2

Step-by-step explanation:

21 divided by 7 is 3, 3 - 2= 1, 1 is = π

pls help me anyone PLSSSSS with the whole procedure pls help me pls​

Answers

Answer:

I don't think I know hun.... I would had really heped you if I know...swaay..

Can somebody please help me with this

Answers

Use photo math!! It is a really helpful app

The number of pets owned by each seventh-grade student's family is

shown in the dot plot. Answer the questions.

Answers

Answer:

Undefined

Step-by-step explanation:

There is no dot plot picture so you cant find the answer :(

A rectangular prism has length of 5 inches a width of 3 and. A height of 2 inches

Answers

Answer:

30 inches

Step-by-step explanation:

A = L * W * H

A = 5 * 3 * 2

A = 15 * 2

A = 30

the white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends. On Monday he arrives 16 minutes late. Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day. on what day of the week does he arrive just 15 seconds late​

Answers

Answer:friday

Step-by-step explanation:

On Monday  of the week does he arrive just 15 seconds late​.

What is Sequence?

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

The white rabbit has an appointment to see the red queen at 4pm every day of the week except weekends

Each day after that he hurries more and more and so manages to halve the amount of time that he arrives late by each day.

On Monday he arrives 16 minutes late.

On Tuesday he arrives 8 minutes late.

On wednesday he arrives 4 minutes late.

On Thursday he arrives 2 minutes late.

On Friday he arrives 1 minutes late.

On Saturday he arrives 30 seconds late.

Sunday is a weekend.

On Monday  he arrives 15 seconds late.

Hence, On Monday  of the week does he arrive just 15 seconds late​.

To learn more on Sequence click:

https://brainly.com/question/21961097

#SPJ2

Below is the graph of equation y=−|x+2|-1. Use this graph to find all values of x such that

1. y > 0

2. y < 0

3. y = 0

Please add a real answer! No links!

Thx so much for helping!

Answers

Answer:

I need points sorry

Step-by-step explanation:

no question, just put thx ig



have a good day

Answers

Answer:

Thank you, thank you, thank you *bows head* ✌️❤️

[tex] \infty \infty [/tex]

Answer:

Yay points

let's go oooohhhhh

(*/_÷)

What is 0.36 written as a rational number?

Answers

Answer:

If you mean what is the square root of 36, then the answer is 6.

6 × 6 = 36.

Remeber sqaure root means what two numbers multplied together equal another number. It is irrational when the number doesn't repeat or terminate.

Hope this helps!!

4. Which equation shows a proportional relationship?
A. y = 1/2 x - 1/2 B. y = 1/2x C. y = 2x - 2
D y = 2/x​

Answers

Answer:

a

Step-by-step explanation:

Find the area of the trapezoid

Answers

10.5

Two ways. Mathematically you can do 3x2 for the square portion of it and then 3x1.5 for the triangle

Or you can just count the full squares then the half’s

HELPPPP!!!! The starting and finish lines for a race in Sullivan are 1.6 inches apart on a map of the course. If the scale of the map is 8 inches = 5.5 miles, then what is the actual distance between the starting line and the finish line?

Answers

Answer:

The answer is 110 miles

Step-by-step explanation:

make me the brainliest plz

A box in the shape of a rectangular prism has the dimensions shown. What is the length of the interior diagonal of the box? Round to the nearest hundredth. Enter your answer in the box.

Answers

Answer:

Step-by-step explanation:

44

please help what would this be?

Answers

Answer:

d

Step-by-step explanation:


Don’t know the answer

Answers

Answer:

Check boxes 1 and 3

Step-by-step explanation:

4. Sue had $58 in her account. What is her account balance after buying a pair of
shoes that cost $78? *

Answers

Answer:

-20

Step-by-step explanation:

58-78=-20

Her total balance
-$20

Sue’s Bal. $58
Shoes Cost $78
—————————-
Negative Balance: -$20
Sue owes $20

A fashion designer wants to know how many new dresses women buy each year. A sample of 208 women was taken to study their purchasing habits. Construct the 85% confidence interval for the mean number of dresses purchased each year if the sample mean was found to be 6.2. Assume that the population standard deviation is 1.1.

Answers

Answer:

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1

The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Two fnenas. Ben and Mike. take parun a 15km fun
run. Ben took 1 h 23 min 12 sec and Mike took 1 h 39 min 4 sec how long did ben wait at the finish line for mike​

Answers

Answer:

15 minutes and 52 seconds

Step-by-step explanation:

Well you jsut gotta subtract the two times

I would put them liek this

1:39:4

-1:23:12

Since the last part is un doable just add the minute into the seconds and take off a minute

1:38:64

-1:23:12

You’d get if solved correctly, 15 minutes and 52 seconds

Question 5 of 10
Which system of inequalities is graphed below?
5
O A. y

Answers

Answer:

you did not send the graph-_-

Step-by-step explanation:

Find the midpoint of BD.
B (0, a)
C С
А
D (a,0)
Enter the value that [?]
belongs in the green box.

Midpoint Formula: M = (4x2.979)

2
Enter

Answers

Answer:

A

Step-by-step explanation:

(0.5a, 0.5a) is the midpoint of the line BD and a is the value that belongs in the green box.

What is a midpoint?

The midpoint of a line segment is a point that lies exactly halfway between two points.

Consider the points B(0,a) and D(a,0).

The general form of midpoint formula is given by

Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2)

Here, x₁ = 0, x₂=a and y₁ = a, y₂ = 0

Therefore, the value that belongs in the green box is given by

(x₁ + x₂)/2 = (0+a)/2 = a/2 = 0.5a

(y₁ + y₂)/2 = (a+0)/2 = a/2 = 0.5a

The midpoint is given by

Midpoint = ( (x₁ + x₂)/2 , (y₁ + y₂)/2) = (0.5a, 0.5a)

Hence, the value that belongs in the green box is a and the midpoint of the line BD is (0.5a, 0.5a).

To learn more about midpoint, use the link given below:

https://brainly.com/question/28224145

#SPJ2

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