The area of a rectangle is represented by the polynomial 3x3+14x2-23x+6. The width of the rectangle is represented by the expression x+6. Find the expression that represents the length of the rectangle.

Answers

Answer 1

Answer:

[tex]l=3x^2-4x+1[/tex]

Step-by-step explanation:

Given that,

The area of a rectangle is, [tex]A=3x^3+14x^2-23x+6[/tex]

The width of the rectangle, b = (x+6)

We need to find the expression for the length of the rectangle. We know that, the area of a rectangle is given by :

A = lb

Where

l is the length of the rectangle

Put all the values,

[tex]l=\dfrac{A}{b}\\\\l=\dfrac{3x^3+14x^2-23x+6}{(x+6)}\\\\l=\dfrac{(x-1)(x+6)(3x-1)}{(x+6)}\\\\l=(x-1)(3x-1)\\\\=3x^2-4x+1[/tex]

So, the length of the rectangle is equal to [tex]3x^2-4x+1[/tex].


Related Questions

Put commas and write the following numbers in Indian system of
numeration
a) 2345678
b) 5678090
Put commas and write the following numbers in International system of
numeration
a) 234589
b) 9807062

Answers

1. Indian System:-

(a) 23,45,678

(b) 56,78,090

2. International System:-

(a) 234,589

(b) 9,807,062

What is a solution of -8x+5>=11
A.-1/2
B.3
C.0.25
D.-1

Answers

Answer:

i got -2

Step-by-step explanation:

1 step; 8*x-5-(11)=0

2 step; 8x - 16  =   8 • (x - 2)

3 step;  Solve :    8   =  0

4 step; Solve  :    x-2 = 0

final part  Add  2  to both sides of the equation :  

                     x = 2

Please help me ASAP and i mean ASAP

Answers

Answer:

no

Step-by-step explanation:

no

Which function graph is shown

Answers

Answer:

A) y=3cos(-x)

Step-by-step explanation:

Because the amplitude of the graph is 3, this eliminates options C and D as their amplitudes are different. With the period of the graph being 2π, B cannot be correct because that would have a period of π/2. Therefore, A is correct.

What’s the answer for this

Answers

Answer:

4) y + 3 = 6x

Step-by-step explanation:

The y-intercept of your graph is (0, -3)

Putting 4) in standard form:

y = 6x - 3 the y-intercept is also (0, -3)

The answer is 4 don’t ask me how. I just know.

Use the tangent ration to find the height of the tree. Round to next whole number.

Answers

Answer:

74.8925767 rounded to 75

Step-by-step explanation:

f(x) = x^2. What is g(x)?

Answers

Answer:

This becomes way easier if you have the knowledge of inverse functions.

Let me make this clear. You have f(x)=x2+1 f(x)=x2+1 and g(f(x))=1/(x2+4)g(f(x))=1/(x2+4). Now pause and think about the second function. The function is defined as g(f(x))g(f(x)), right. now what if there is some way that you could manipulate this function and some how change it to g(x)g(x). Or think about with what other function should you multiply f(x)f(x) [the function in g(f(x))g(f(x)) ] to get xx [so that the function would be g(x)g(x)]. It is f(x)−1f(x)−1 right.

So let us find f(x)f(x) inverse. f(x)=x2+1f(x)=x2+1 then f(x)−1=x−1−−−−−√f(x)−1=x−1 right [ just swipe the xx with f(x)

Pls…… HELPPPP I have no clue what I’m doing

Answers

Answer:

x = 4 and y = 8.

Step-by-step explanation:

The given equations are :

-8x+y=-24 ....(1)

and

3x-2y=-4 .....(2)

Multiplying equation (1) by 2.

-16x+2y=-48 ....(3)

Adding equation (2) and (2).

3x-2y+(-16x+2y) = -4-48

3x-16x= -52

-13x = -52

x = 4

Put the value of x in equation (1)

-8(4)+y=-24

-32 + y = -24

y = -24+32

y = 8

Hence, the solutions of the equations are x = 4 and y = 8.

can someone help me solve the inequality-2x+4>8 with the steps? Thanks

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\rm{-2x + 4 > 8}[/tex]

[tex]\large\textsf{SUBTRACT 4 to BOTH SIDES}[/tex]

[tex]\rm{-2x + 4 - 4 > 8 - 4}[/tex]

[tex]\large\textsf{CANCEL puts 4 - 4 because that gives you 0}[/tex]

[tex]\large\textsf{KEEP: 8 - 4 because that helps solve for the x-value}[/tex]

[tex]\rm{8 - 4 = \boxed{\bf 4}}[/tex]

[tex]\rm{NEW\ EQUATION: -2x > 4}[/tex]

[tex]\large\textsf{DIVIDE -2 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{-2}{-2}>\dfrac{4}{-2}}[/tex]

[tex]\mathsf{CANCEL\ out: \dfrac{-2}{-2}\ because\ that\ gives\ you\ 1}[/tex]

[tex]\mathsf{KEEP: \dfrac{4}{-2} \ because \ it \ helps \you \ compare\ to \ the \ x-value }[/tex]

[tex]\mathsf{\dfrac{4}{-2} = \boxed{\bf -2}}[/tex]

[tex]\rm{\bold{x < -2 }}[/tex]

[tex]\rm{It\ is \ an\ O PENED \ circle \ shaded \ to \ the \ left \ side \ of \ the \ number \ line}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: } \mathsf{\bf x < -2}}}\huge\checkmark[/tex]

[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

10 points!
If you are going to answer, actually answer!

Answers

Answer:

1/27

Explanation:-

(1/3)^3=(1x1x1)/(3x3x3)=1/27

Answer:

0.03703703703 or

                                                                                                                                 ²/27

sorry i am late but still hope I helped

Step-by-step explanation:

How many solutions does the system have?

4x−6y=−24
2x−3y=−6

Answers

Answer:

none

Step-by-step explanation:

if we plot it, it's clear, but you might also spot that the plotted lines will be parallel in the equation

because x and y in line two are the same multiple of these in line one (both values are just the half)

plotted with desmoes

The graph shows the absolute value parent function. Which statement best describes the function?
A. The function is positive when x > 0.
B. The function is always positive.
C. The function is positive when x< 0 and when x > 0
D. The function is positive when x< 0

PLEASE HELPPP!!!!

Answers

The function of the absolute value is always positive the correct answer would be option (B).

What is a graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

For example, |5| is 5 because it is 5 units away from 0.  Also, |-5| is also 5 because -5 is 5 units from 0.

We have to determine the statement best describes the function.

We have been given that the graph represents the absolute value parent function.

Since the parent function's graph with an absolute value that is always positive.

Therefore, the graph of the absolute value parent function would be always positive.

Hence, the correct answer would be option (B)

Learn more about the absolute value here:

brainly.com/question/1301718

#SPJ2


Helpppp meeeeeeeeeee

Answers

Answer:

1

[tex] = \frac{45}{100} \times 75 \\ = 33.75[/tex]

2.

[tex] \frac{150}{100} \times 36 \\ = 54[/tex]

3.

[tex] \frac{850}{100} \times 255 \\ = 21675[/tex]

Given the linear equation 5x+3y-9=0. Write another linear equation in two variables such that the geometrical representation of the pair so formed are parallel lines​

Answers

Answer:[tex]5x+3y+1=0[/tex]

Step-by-step explanation:

Given

The linear equation is [tex]5x+3y-9=0[/tex]

The other linear equation parallel to the given line can be represented by

[tex]5x+3y+c=0[/tex]

Here, c can take any value . for example c=1, line becomes

[tex]\Rightarrow 5x+3y+1=0[/tex]

someone help me answer these two​

Answers

1. Domain (6, 3) to (11, 2)
Range (9,0) to (6,3)
Not a function because two inputs cannot share the same output

2. Domain (1, 50) to (5, 200)
Range (1,50) to (5, 200)
Yes it is a function

Find the volume of a rectangular prism with a length of 5 cm, a width of 5 cm and a
height of 20 cm, to the nearest tenth of a cubic centimeter.

Answers

Answer:

500 cubic centimetres

Step-by-step explanation:

henry who is 3 years younger than sandra is 14 write an equation to represent sandras age

Answers

s = 14-3 (s being sandras age)

Each student gets a bag with 6 celery sticks in it. Dwayne eats 4 of his celery sticks. Write the fraction of celery sticks Dwayne eats. Dwayne thinks he ate 2 3 of his celery sticks. Is he correct?

Answers

He is correct 4/6 is equivalent to 2/3

I will give brainiest

Answers

Answer:

B

Step-by-step explanation:

Over 5 straight plays, a football team gained 8 yards, lost 4 yards, gained 7 yards, gained 3 yards, and lost 11 yards. What is the team's position no compared to their starting position? WILL GIVE BRAINLIEST ALSO BE CORRECT PLS THX

Answers

for this one, i’ll explain. set it up so it looks like this : 8-4+7+3-11, and then simplify.

help me solve for m<4 and m<5 and x

Answers

Answer:

x = 18

Angle 4 = 31 degree

Angle 5 = 59 degree

Step-by-step explanation:

According to the question, angle 3 is 90 degree and the sum of angle 4 and 5 is equal to the angle 3 as they are vertically opposite angles.

Angle 4 + angle 5 = 90 degree

Angle 4 = 2 x - 5

angle 5 = 4 x - 13

So, according to the question,

2 x - 5 + 4 x - 13 = 90

6 x - 18 = 90

6 x = 108

x = 18

So, angle 4 = 2 (18) - 5 = 31 degree

So, angle 5 = 4 (18) - 13 = 59 degree

✨Please help me :) ✨

Answers

Answer:

Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Step-by-step explanation:

What do we know:

He has $140 to start withHe saves $25 each weekHis bike costs $290

What are we solving for;

We are solving for x (number of weeks it would take Jaden to buy a $290 bike), when y = 290

Equation would be:

y = 25x + 140

So for Jaden to buy a $290 bike, y would have to be replaced with 290, and solve for x;

y = 25x + 140

=> 290 = 25x + 140

=> 290 - 140 = 25x

=> 150 = 25x

=> 150 / 25 = x

=> 6 = x

Therefore, Jaden would have to save $25 each week for next 6 weeks to get the $290 bike.

Hope this help!

On Saturday, the fruit and juice bar was selling 27 glasses of fruit punch an hour. By 7 p.m., they had sold 243 glasses. If their goal was to sell more than 324 glasses of fruit punch, find the number of hours, h, they must stay open past 7 p.m. to make their goal.

Answers

Answer: 3 hours

Step-by-step explanation:

the answer this can be solved by the function:

324 = 27x + 243

-243          -243

27x = 81

/27     /27

x = 3 hours past 7.

what is the slope that passes through the points : (-2,9) and (4,-7)

Answers

Use the slope formula below:

[tex] \large \boxed{m = \frac{y_2 - y_1}{x_2 - x_1} }[/tex]

The m-term represents the slope.

The formula is the changes of two y-points over the changes of two x-points. We are given two points. Substitute both points in the formula.

[tex] \large{m = \frac{9 - ( - 7)}{ - 2 - 4} } \\ \large{m = \frac{9 + 7}{ - 6} \longrightarrow \frac{16}{ - 6} } \\ \large{m = \frac{8}{ -3 } \longrightarrow - \frac{8}{3} }[/tex]

Therefore the slope is -8/3

Answer

the slope is -8/3

Hope this helps! Let me know if you have any doubts.

Answer:

y = -8 / 3x + 11/3

Step-by-step explanation:

Using the slope formula:

[tex]slope = y = \frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]

1. Select one point to be [tex](x_{1} ,y_{1} )[/tex] and the other [tex](x_{2} ,y_{2} )[/tex]

I chose (-2, 9) to be [tex](x_{1} ,y_{1} )[/tex] and (4, -7) to be [tex](x_{2} ,y_{2} )[/tex]

2. Plug the values into the formula:

[tex]y = \frac{-7-9}{4-(-2)} \\\\y= \frac{-16}{6} \\\\y = \frac{-8}{3}[/tex]

3. Finding the c-value by plugging in one of the points into the equation

y = mx + c

9 = -8/3 (-2) + c

9 = 16/3 + c

c = 11/3

4. y = -8/3x + 11/3

what is the mean absolute deviation for 3 3 4 5 5 4

Answers

Answer as a fraction = 2/3

Answer in decimal form = 0.667 (approximate)

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

Explanation:

The first thing we need is to find the mean. Add up the values to get 3+3+4+5+5+4 = 24. Then divide by n = 6 since there are 6 values.

24/n = 24/6 = 4

The mean is 4

Now subtract the mean from each value

3-4 = -13-4 = -14-4 = 05-4 = 15-4 = 14-4 = 0

Apply absolute value to each result so that the difference is not negative.

We get this new list: {1, 1, 0, 1, 1, 0}

Now compute the mean of that new list to get the final answer

1+1+0+1+1+0 = 4

4/n = 4/6 = 2/3 = 0.667 approximately

Answer:

hi how are you

Step-by-step explanation:

hope you are good

Help me to do exercise no 5​

Answers

Answer:

Step-by-step explanation:

a) x + 20  = 70                 Vertically opposite angles are congruent

b) 2x - 50 = x + 20           Vertically opposite angles are congruent

c) 3x - 10  + 140 = 180           Linear pair

 

Answer:

(a) 70= x+20 (vertical angles are equal)

70 - 20=x

50=x

(b) x +20 = 2x -50 (vertical angles are equal)

20 + 50 = 2x - x

70 = x

(c) 140 +3x -10=180 (angles on the straight line)

130 +3x = 180

3x = 180 - 130

3x = 50

x= 50/3

The slope is ____ and the y-intercept is ___?​

Answers

Answer:

The slope is -1 and the y-intercept is -1 ?

[tex]slope = \frac{ - 6 - 1}{5 - ( - 2)} \\ = \frac{ - 7}{7} \\ = - 1 \\ y - intercept : \\ y = mx + c \\ 1 = ( - 1 \times - 2) + c \\ c = - 1 \\ [/tex]

Answer:

slope -1 and y intercept is -1

hope this helps

have a good day :)

Step-by-step explanation:

I NEED HELP ASAP IM STRESSJNG OUT

Answers

Answer:

A

Step-by-step explanation:

Using the Sine rule in Δ ABC

∠ B = 180° - (30 + 50)° = 180° - 80° = 100° ( sum of angles in triangle ) , then

[tex]\frac{13}{sin100}[/tex] = [tex]\frac{BC}{sin30}[/tex] ( cross- multiply )

BC × sin100° = 13 × sin30° ( divide both sides by sin100° )

BC = [tex]\frac{13sin30}{sin100}[/tex] ≈ 6.6 ( to the nearest tenth )

find hcf and LCM of 40 ,60 and 80​

Answers

hear here is your answer in attachment attach

Answer:

Step-by-step explanation:

40 = 2*2*2*5  

60 = 2 * 2 * 3 * 5

80= 2 * 2 * 2 * 2 * 5

LCM = 2 * 2 * 2 * 2 * 5 * 3 = 240

HCF = 2*2*5= 20

Which of the following equations will be the graph of a parabola?


y = 5x + 12

y = x^2 - 2x + 3

3x^5 - 6x^3 + 4x + 12

y = 2 ⋅ 3^x

Answers

Answer:

Y=x^2 -2x + 3

Step-by-step explanation:

it's quadratic like:-)

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