Polynomial p(x)= x^3 - 7X - 6 has a known factor of ( x+1 ), rewrite P(x) as a product of linear factors

Answers

Answer 1

Answer:

(X+1)(x+2)(x-3)

Step-by-step explanation:

(X+1)(x^2-x-6)

(X+1)(x+2)(x-3)


Related Questions

need help asap please

Answers

Answer: f = 12.5

Step-by-step explanation:

[tex]f = \frac{25}{2} \\decimal form = 12.5\\ mixed fraction form 12 \frac{1}{2}[/tex]

PLEASE HELP QUICK FIND THE y-intercept and the slope and the roc
please don’t do it for the points i actually need help

Answers

Answer:

4.5 or 5

Step-by-step explanation:

Acording to your graph it would be whatever point that is one the Y line which is going vertical.

On a two-week job, a repairman works a total of 70 hours. He charges $75 plus $40 per hour. An equation shows this relationship, where x is the number of hours and y is the total fee.
What number is the slope of the line shown by the equation?

Answers

Answer:

y=40x+75

40 is the slope and the y-intercept is 75

PLZ HURRY I ONLY HAVE 27 MINUTES TO GET THIS DONE
The owner of a local music store was interested in knowing which type of music most of his customers preferred. From a list of his regular customers the owner picked a name at random and every sixth person on the list after that, going through the list and returning to the name he started with. Was this a random sample and if so, which sampling method was used? A. Yes, he used simple random sampling. B. Yes, he used systematic random sampling. C. Yes, he used stratified random sampling. D. No, he did not choose a random sample.

Answers

Answer:

definitely  b.

Step-by-step explanation:

Answer:

I'm just going with the person above me that the answer is B. Yes, he used systematic random sampling.

Step-by-step explanation:

Tell me if I'm wrong.

PLEASE HELP

(image included)

Answers

Answer:

Cameron found 23 quarters and 57 dimes.

Step-by-step explanation:

Let the number of quarters Cameron found = Q

And the number of dimes = D

Since, total number of coins were 80,

Q + D = 80 -----(1)

Total amount of the coins was $11.45,

0.1D + 0.25Q = 11.45

10D + 25Q = 1145

2D + 5Q = 229 -----(2)

Equation (1) multiplied by 2 then subtracted by equation (2),

(2D + 5Q) - 2(Q + D) = 229 - 2(80)

(2D - 2D) + (5Q - 2Q) = 229 - 160

3Q = 69

Q = 23

From equation (1),

23 + D = 80

D = 57

Cameron found 23 quarters and 57 dimes.

Determine the area of the shaded region (grey) in the quadratic form.
Hint: Shaded area = (gray rectangle area) – (white rectangle area)

Answers

Answer:

The area of shaded region is: [tex]13x^2+6x-15[/tex]

Step-by-step explanation:

We can see in the diagram that

[tex]Length\ of\ gray\ rectangle = l_g = 3x+5\\Width\ of\ gray\ rectangle = w_g = 4x-3[/tex]

The area of rectangle is given by:

Area = Length * width

Now for gray rectangle

[tex]A_g = l_g * w_g\\= (3x+5)(4x-3)\\= 3x(4x-3)+5(4x-3)\\= 12x^2-9x+20x-15\\=12x^2+11x-15[/tex]

For White Rectangle:

[tex]Length = l = 5-x\\Width = w = x\\A_w = l * w\\A_w = (5-x)(x)\\= 5x-x^2[/tex]

Now,

The area of shaded region will be calculated by subtracting the area of white triangle from the gray triangle.

[tex]A_s = A_g - A_w\\= (12x^2+11x-15) - (5x-x^2)\\=12x^2+11x-15-5x+x^2\\=12x^2+x^2+11x-5x-15\\=13x^2+6x-15[/tex]

Hence,

The area of shaded region is: [tex]13x^2+6x-15[/tex]

Priya and Han are biking in the same direction on the same path.

1. Han is riding at a constant speed of 16 miles per hour. Write an expression that shows how many miles Han has gone after t hours.

miles

2. Priya started riding a half hour before Han. If Han has been riding for t hours, how long has Priya been riding?

hours

3. Priya is riding at a constant speed of 12 miles per hour. Write an expression that shows how many miles Priya has gone after Han has been riding for t hours.


4. Use your expressions to find when Han and Priya meet.

t=

They meet after Han rides for
hours and Priya rides for
hours.

Answers

Answer:

1. V = D/t => D=Vt. as V = 16mph

D = 16t

2. Prya has been riding for t+½ hours

3. Prya has gone 12(t+½) miles

4. When Prya and Han meet

16t = 12t +6

4t = 6

t = 3/2 hours

What is the percent of change from 100,000 to 20,000?
400% increase
400% decrease
80% decrease
80% increase

Answers

Answer:

That is an 80% increase

wich expression is equivelent to 4(3+5)-3times9 to the power of 2

Answers

Answer:

-211

Step-by-step

What is an equation in point-slope form of the line that passes through the point (4, −1) and has slope 6?

Answers

Answer:

y + 1 = 6(x - 4)

Answer: y + 1 = 6(x - 4)

What are the roots of the polynomial equation x cubed minus 5 x + 5 = 2 x squared minus 5? Use a graphing calculator and a system of equations. Round noninteger roots to the nearest hundredth.
–3, –5
–2.24, –2, 2.24
–2.24, 2, 2.24
3, 5

Answers

Answer:

c

Step-by-step explanation:

–2.24, 2, 2.24

The solution to the equation of the polynomial function [tex]x^3 - 5x + 5 = 2x^2 - 5[/tex] is (c) –2.24, 2, 2.24

How to determine the roots of the polynomial?

The function is given as:

[tex]x^3 - 5x + 5 = 2x^2 - 5[/tex]

Split the function.

So, we have:

[tex]y = x^3 - 5x + 5[/tex]

[tex]y = 2x^2 - 5[/tex]

Using a graphing calculator, we have the x coordinate at the point o intersection of both equations to be

x = –2.24, 2, 2.24

Hence, the solution to the equation is (c) –2.24, 2, 2.24

Read more about system of equations at:

https://brainly.com/question/14323743

#SPJ2

Assume that y varies directly with x. If y=−4 when x=2, find y when x=−6. Enter in any fractions using a / (e.g. "1/2" is the same as 1^/2).

Answers

Answer: 12

Step-by-step explanation:

This is a direct proportion and we use the formula:

y = kx

If y = −4 when x=2, we need to find the constant of proportionality. This will be:

y = kx

-4 = 2k

k = -4/2

k = -2

To find y when x=−6 guess this:

y = kx

y = -2 × -6

y = 12

Hence, The value of y = 12 when x = -6.

Given that , Y varies directly with x .

If y=−4 when x=2,

Find y when x=−6.

According to the question,

This is a direct variation , y = kx

If,

y = −4  when x=2,

y = kx

-4 = 2k

[tex]k = \frac{-4}{2}[/tex]

k = -2

To find ;

y when x = −6

y = kx

y = (-2) (-6)

y = 12

Hence, The value of y = 12 when x = -6.

For more information about Direct variation click the link given below.

https://brainly.com/question/13977805

Naomi has a toy car collection of 300 toy cars. She keeps 243 of the toy cars on her wall. What percentage of Naomi's toy car collection does she keep on her wall?

Answers

Answer:81%  or .81

Step-by-step explanation:

81%  or .81

Explanation:

243 ÷ 300 = .81

Answer:

the answer is 81%

Step-by-step explanation:

i used google and an answer key

Factor this expression completely, then place the factors in the proper location on the grid.

x3 - 1

Answers

x3-1 on a gird is 1 on x axis and 3 on y axis

Answer:

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

Step-by-step explanation:

they said it was the answer.

The first element in an arithmetic sequence is 2. Its twenty-fifth is 14. Find the value of n so that a - 6.

Answers

Answer:

hindi ko alam yan ha ano

Answer:

the difference between numbers of sequence is 0.5 or 1/2

here,

the formula to find n terms is 0.5n+1.5

this may help you(:

4x^2-21x-18=0
Find the discriminate

Answers

a = 4, b = -21, c = -18

to keep from getting "mixed up", evaluate the discriminant first ...

b<sup>2</sup> - 4ac = (-21)<sup>2</sup> - 4(4)(-18) = 729

sqrt(729) = 27

x = (21 +/- 27)/8

x = -3/4, x = 6

since the discriminant is a perfect square, the original quadratic will factor ...

4x<sup>2</sup> - 21x - 18 = 0

(4x + 3)(x - 6) = 0

x = -3/4, x = 6

Answer:729

Step-by-step explanation: Use the values of a, b and c to find the discriminant. Which is 729

Need help with this please

Answers

Answer:

The answer is 25.

Step-by-step explanation:

hope this helps

Thanks for the answer

find ten rational number between –3and–2​

Answers

Answer:

0

Step-by-step explanation:

Edna has a segment with endpoints F(4,9) and G(7,2) that is divided by a point H

Answers

Answer:

1/4 is your answer.

Step-by-step explanation:

100 POINTS!!! HELP PLEASE!!

(12-15) Q(x) = 2x^4 - 7x^3 + 6x^2 + x -2

1. Use synthetic division to determine whether (x-1) is a factor of Q(x).

2. Use synthetic division in to find Q(-2)

3. List all of the possible rational roots of Q(x) = 0

4. Find all of the real roots Q(x) =0

Answers

Answer:

Step-by-step explanation

I got a 98% on my midterm im not boasting just congratulate me and it was in SPANISH im shoooook here are free 100 points
oh and so this don't get taken down answer this:
what is 4 x 203

Answers

Answer:

812

Step-by-step explanation:

Answer:812

Step-by-step explanation: multiply 4 by 203

In what quadrant would (9, -13) be located?

Answers

Answer:

The point is located in the fourth quadrant because x is positive and y is negative. The quadrants are labeled in counter-clockwise order, starting in the upper-right.

Step-by-step explanation:

Answer:

It would be located in the second quadrant or the one under the positive quadrant

Step-by-step explanation:

identify the like terms in:

Answers

Answer:

bthw like your phone case the answer is ac and hope this helps mark me branliest

Step-by-step explanation:

Need help with this slide about proofs explanation would be nice aswell.

Answers

Answer:

1. AB ~= DF

2. Definition of Congruent

3. Reflexive Property of Congruency

4 BD=BD

6. AB+BD=AD; DF+BD=BF

7. Substitution Property of Equality

8. Definition of Congruent

Step-by-step explanation:

1. The given always goes first, and that's the first reason, so AB ~= DF must be the first statement (that should be the congruency symbol).

2. The definition of congruent is that if they are congruent then they are equal. Since that statement made two congruent lines equal, it must be the definition.

3. The reflexive property means something is congruent to itself, and BDis BD, therefore it is the reflexive property.

4. Remember if something is congruent then it is equal.

6. The segment addition postulate states that if we are given two points on a line segment, then AB+AC=AC.

7. In this statement AD was substituted for DF+BD. This can be done because of AB=DF and BD=BD as aforementioned.

8. If two things are congruent then they are equal by definition of congruency.

Which two values of x are roots of the polynomial below?
5x2 - 5x+1

Answers

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[tex]5 {x}^{2} - 5x + 1 = 0[/tex]

[tex](x - \frac{5 + \sqrt{5} }{10} )(x - \frac{5 - \sqrt{5} }{10} ) = 0 \\ [/tex]

Thus :

[tex]x = \frac{5 + \sqrt{5} }{10} \\ [/tex]

[tex]x = \frac{5 - \sqrt{5} }{10} \\ [/tex]

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Select all that apply. What are some uses for the distance formula? Finding the perimeter of polygons. Finding the area of rectangles. Finding the equation of a circle. Finding the midpoint of segments. Finding how much gas you will need on a trip.

Answers

Answer:

Everything except the finding the midpoint

Step-by-step explanation:

If the question states the points of a shape, you can find the perimeter and the area of the polygon because you would know the dimensions and the lengths of each side, but in the options, it says the area of a rectangle, and it doesn't have to be a rectangle

You can find the equation of the circle, by finding the diameter of the circle and the radius. With the diameter, you would be able to find the centre of the circle and then you need to divide the diameter by two to get the radius.

For the midpoint, you use the midpoint formula. You just need to sub in the points into the formula and you would get the midpoint

When you are given two points on a graph (or worded problem), and it says that for every x number of km it uses y amount of gas and the question asks to find how much gas is needed in between these two points, you can do this. Find the distance between the two points and then use algebra to work out the amount of gas required

Answer:

12 z abd and also 097

Step-by-step explanation:

If=3,=4=2,determine2+4.

Answers

If =3=4=2 then 2+4=7

Please answer asap, thank you so much.

Find the slope

Answers

Slope is -2/5 and y-intercept is 5
Equation would be y= -2/5x + 5
Hope this helps!
the slope is -1/2 rise over run is -2/4 simplified to -1/2

The sum of four times a number and -3 is greater
than 16

Answers

Answer:

2+2+2+2=8-3=5

Step-by-step explanation:

so what about This

Answer:

it is 4x + -3 < 16

Showing algebraic support, find the value of x.

Answers

Answer:

x = 52.5

Step-by-step explanation:

The triangle on the left has 2 congruent sides, thus is isosceles

The base angles of an isosceles triangle are also congruent, thus

x = [tex]\frac{180-75}{2}[/tex] = [tex]\frac{105}{2}[/tex] = 52.5

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