The area of a rectangle is given by 3x^3+14x^2-23x+6
The width of the rectangle is given by x + 6. Find an expression for the length of the rectangle.

Answers

Answer 1

The length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

Geometrically speaking, the rectangle area is equal to the product of its base and its length. According to the statement the area is represented by a third order polynomial and width by a first order polynomial and, thus, length must be a second order polynomial.

By factor the polynomial we get the following roots:

[tex]A = 3\cdot x^{3}+14\cdot x^{2}-23\cdot x + 6[/tex]

[tex]A = (x+6)\cdot (x-1)\cdot \left(x-\frac{1}{3} \right)[/tex]

Then, the length of the rectangle is defined by [tex](x-1)\cdot \left(x-\frac{1}{3} \right)[/tex].

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Related Questions

Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km



A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
C) c = 13.5 km, A = 27.2°, B = 47°
D) c = 10.6 km, A = 25.2°, B = 49°

Answers

Answer:

1) C = 105.8°

Step-by-step explanation:

23.
Find the next three terms of the arithmetic sequence. 19, 24, 29, 34, ...

Answers

Answer:

39, 44, 48

Step-by-step explanation:

Add 5 to the following terms.

Please mark me as the Brainliest, Thank you!

What is the y-intercept of y = 4x? Choose 1 answer:​

Answers

Answer:

B (0,0)

Step-by-step explanation:

The slope-intercept form is y=mx+b, where m is the slope and b is the y-intercept y=mx+b. Using the slope-intercept form, the y-intercept is 0. b=0

The y-intercept of y=4x is (0, 0)

Option B is correct

Y-intercept of a linear equation

The slope-intercept of a line is given as:

y = mx + c

where m represents the slope

c represents the y-intercept

The given equation is y = 4x

To find the y-intercept, substitute x = 0 into the equation and solve for y

y = 4(0)

y = 0

Therefore the y-intercept of y=4x is (0, 0)

Learn more on y-intercept of a line here: https://brainly.com/question/10700419

triangle: 3x-1,4x+1,3x
perimeter:70cm
area:A2
find A

Answers

Answer:

A = 210 cm²

Step-by-step explanation:

Perimeter of the triangle = the sum of the sides of the triangle.

70 = (3x - 1) + (4x + 1) + (3x)

70 = 10x  

7 = x     The length of the sides of the triangle are 3x - 1 = 20;  4x + 1 = 29 and                

             3x = 21.

 Looking at the given information, this triangle is a special type of triangle because the area of a triangle is Area = 1/2 bh and you do not know which side is the base and height of the triangle.

Trying a² + b² = c² to see if it is a right triangle.   20² + 21² = 29 ² ; yes it is a right triangle and now we know that the base and height is 20 and 21.   The longest side is the hypotenuse in a right triangle

A = 1/2bh

A = 1/2 (20)(21)

A = 10 · 21

A = 210 cm²

In the circle represented by the equation (x-4)2+(y-3)2=25, the diameter is

Answers

i’m pretty positive the answer is (-3,4)

Why 10 is down how we get it?

Answers

i think you’re asking why 10 is there when you when from _/100? if so it’s because 10 is the square root of 100. 10 x 10 = 100. similar to how the square root of 4 is 2 and 25 would be 5. or 16 is 4.

3x+4=7-2x
Solve this equation for x with steps

Answers

Simplifying
3x + 4 = 7 + -2x

Reorder the terms:
4 + 3x = 7 + -2x

Solving
4 + 3x = 7 + -2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '2x' to each side of the equation.
4 + 3x + 2x = 7 + -2x + 2x

Combine like terms: 3x + 2x = 5x
4 + 5x = 7 + -2x + 2x

Combine like terms: -2x + 2x = 0
4 + 5x = 7 + 0
4 + 5x = 7

Add '-4' to each side of the equation.
4 + -4 + 5x = 7 + -4

Combine like terms: 4 + -4 = 0
0 + 5x = 7 + -4
5x = 7 + -4

Combine like terms: 7 + -4 = 3
5x = 3

Divide each side by '5'.
x = 0.6

Answer: x = 0.6

Guys, I really need these answers ASAP, Please help, I will give 10 points. Look at the 3 screenshots posted below

Answers

Answer:

w = 38%  or 37%

w = 37.7162629758% exact

Step-by-step explanation:

Lets say c = 100

If k = 15, 100 is decreases by 15% 2 times.

15% of 100 = 15

100 - 15 = 85

d = 85

Now lets find a

85 times .85 = 72.25

Now find what percent of 72.25 you have to add to itself to get 100

100 - 72.25 = 27.75

27.75 divided by 72.25

37% rounded

37.7162629758% exact

Can someone pls help me

Answers

Answer:

A = Π R^2 = 3.14 * 6^2 m = 113 m^2   area of entire circle

102/360 = a = area of sector

a = 102/360 * 113 m^2 = 32 .0 m^2

Evaluate the expression for x = 5 and y = -1
xy - y =

Answers

Answer:

-4

Step-by-step explanation:

xy-y = ?

(5)(-1)-(-1) = ?

-5 + 1 = -4

Hope that helps

I need help with this plz

Answers

Answer:11cute and undred

Step-by-step explanation:cute11

PLease help ................................................................

Answers

Answer:

if it is an a or  b  B is the best answer but if it a true of false. the answer is true

Step-by-step explanation:

what 0x0+1-0 explain it has to be mathematical geniuses

Answers

Answer:

1

Step-by-step explanation:

you cant multiply 0 and 0 and then plus one minus 0 you can't minus anything cuz it's well zero and it would be one

Answer:

1

Step-by-step explanation:

zero times zero is equal to zero, so if you add one to that, it then becomes one. After that, if you subtract zero from that you are basically not changing the one.

so yeah

find possible lenth and breadth of the rectangle whose area is given by the expression x power 2 +6x +8

Answers

[tex]x^2 +6x +8\\\\=x^2 + 4x +2x +8\\\\=x(x+4) +2(x+4)\\\\=(x+2)(x+4)\\\\\text{Possible length and breadth of the rectangle are (x+4) and (x+2) respectively.}[/tex]

Tyler has 485 pieces of candy. He has 5 bags that he wants to fill the candy in. How many
pieces of candy, will be in each bag? (Solve using the standard algorithm).

Answers

Answer:

97 in each bag

Step-by-step explanation:

485÷5=97

97*5=485

Answer:

There would be 97 pieces of candy in each bag.

(used standard algorithm, not sure how to put that in here.) Tip: use 485 divided by 5 in long division. If you do not know how, look up the steps and write it down.

Can you please help me

Answers

Answer:

V = 113.1

Step-by-step explanation:

V= 4/3 π r^3

V= 4/3 x 3.14 x 3^3

V= 4.19 x 27

V= 113.13

rounded to 113.1

Given that:Radius= 3 mTo find:The volume of the given sphere rounding to the nearest tenth.Solution:A sphere is a three dimensional solid with a curved surface area.SI unit of volume is cubic meter.

In this question all the required information is given so we'll simply have to solve.

[tex]\large\boxed{\bold{V= \ \frac{4}{3}\pi{r}^{3}}}[/tex]

Let's substitute the values according to the formula.

[tex]\bold{ V= \frac{4}{3}×\pi×{3}^{3}}[/tex]

[tex]\bold{=113.0973355 \ {m}^{3}}[/tex]

Now, we can round off to the nearest tenth.

If the value in hundredths place is greater than 5 you'll have to round up. If not you'll have to keep it as it is.

In this, the value in hundredths place is greater than 5 so we'll have to round up by adding 1 to the tenths place.

[tex]\large\boxed{\bold{V= 113.1 \ {m}^{3}}}[/tex]

Therefore, the volume of the given sphere is 113.1 cubic meters.

Find the y-intercept of the line: x + 4y + 8 = 0

Answers

Answer:

(0,-2)

Step-by-step explanation:

F. A marketing company offers to pay $25 to the first 100 people who respond to its advertisement
and complete a questionnaire regarding its client's product. This will produce which type of
sample?
A. simple random sample
C. voluntary response sample
B. convenience sample
D. multistage cluster sample


HELPP ASAP PLZZZZZZZ LIKE RNN plzzzzzzz

Answers

Answer:

Convenience sample

Step-by-step explanation:

Getting paid to respond

B would be correct I think

write an algebraic expression for the word expression.
the sum of 9 and a number x​

Answers

Answer:

9 + x

Step-by-step explanation:

i think this is what you meant

Answer:

Write each phrase as an algebraic expression. In Example 2, each algebraic expression consisted of one number, one operation and one variable.

...

Algebraic Expressions With Example Problems and Interactive Exercises.

Phrase Expression

the sum of nine and a number x 9 + x

Step-by-step explanation:

Hopes this helps\

Mark as brainliest

please help asap will give brainliest

Answers

Answer:

Step-by-step explanation:

11)  y = -1x - 2

12)  y = -(3/2)x + 3

13)  y = 3x - 2

14)  y = (3/4)x + 1

15)  y = (1/2)x + 1

16)  y = -(2/5)x

17)  y = 7x + 2

18)  y = (4/3)x - 4

Attached graph for 19 and 20

write an equation
(X-P) (x-q)=0

Answers

Answer:

[tex]x^{2} -pqx+pq[/tex]

Step-by-step explanation:

please help and show work


x= ​

Answers

Answer:

x = 7

Step-by-step explanation:

from the properties of an isosceles triangle, 5x+6 = y-9

so

98+2(5x+6) = 180

98+10x+12 = 180

110+10x = 180

10x = 70

x = 7

Fd meaning in microsift

Answers

Answer:

FD = Forced Deal

It is verified whenever you divide by 0 on a Enigma from 1942.

Answer:

/Fd (Program Database File Name) | Microsoft Docs. Documentation. Shows. Events.

Step-by-step explanation:

someone help!
what is y?

Answers

60

random stuff because the answer has to be 20 characters long

Answer:

y= 160°

Step-by-step explanation:

as we can see, the corresponding angles are both 20°

a straight line is 180°

180-20= 160

that's you're answer

x^(3)+6x^(2)+4x+24 factor by grouping

Answers

x³ + 6x² + 4x + 24

= x² (x + 6) + 4 (x + 6)

= (x² + 4) (x + 6)

I don’t pay attention in classs Why are the plants in the picture classified as vascular?
A. They reproduce by seeds.
B. They grow in damp forests and along river banks.
C. They reproduce by spores.
D. They have tubes for carrying water and food.

Answers

Answer:

A

Step-by-step explanation:

Specifically, the various types of vascular plants are classified by whether they produce spores or seeds to make new plants. Vascular plants that reproduce by seed evolved highly specialized tissue that helped them spread across the land

y=-2x-3
y=2x-1

y=x+ 4
y=-x+ 2

y=-2x-3
y= x+ 4

y=2x-1
y=-x+ 2

match with WXYZ

Answers

Step-by-step explanation:

I don't understand. what are W, C, Y, Z ?

all I can do is solving the 4 systems of equations for x and y.

y = -2x - 3

y = 2x - 1

adding the equations

2y = 0 - 4 = -4

y = -2

-2 = 2x - 1

-1 = 2x

x = -1/2

y = x + 4

y = -x + 2

adding the equations

2y = 0 + 6 = 6

y = 3

3 = x + 4

x = -1

y = -2x + 3

y = x + 4

multiply second equation by 2, add the result to first

2y = 2x + 8

3y = 0 + 11 = 11

y = 11/3

11/3 = x + 4 = x + 12/3

x = -1/3

y = 2x - 1

y = -x + 2

multiply second equation by 2, add the result to first

2y = -2x + 4

3y = 0 + 3 = 3

y = 1

1 = -x + 2

-1 = -x

x = 1

Kim needs 10 cups of apple juice for a recipe. How many quarts does she need?

Answers

She will need 2.5 quarts.

Kim will need 2.5 quarts.

How to find the quarts she needs?

Given = 10 cups quarter

From the given data = 10/4

⇒ 2.5

The answer is 2.5 quarts.

What does 1 quart equal to in cups?

There are 4 cups in 1 quart. There are 8 cups in 2 quarts. There are 16 cups in 4 quarts.

Learn more about problem solving here: brainly.com/question/23945932

#SPJ2

PLS HELP I WILL MARK BRAINLIEST!!! IT IS NOT 72

Answers

Answer:

52

Step-by-step explanation:

Answer:

I believe it's 56

Hope this helps

What is the pre-image of vertex A' if the image shown on the graph was created by a reflection across the y-axis?

(–8, –6)
(–6, 8)
(8, 6)
(6, –8)

Answers

Answer:

The answer is B. (-6,8) !

Step-by-step explanation:

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