A square has a side length of 6x+2. a rectangle with width 3x+1 has the same area as the square. what is the length of the rectangle?

Answers

Answer 1

Answer:

2

Step-by-step explanation:

(6x+2)/(3x+1) = 2


Related Questions

w = 8.75h
What is an impossible value for h?

Answers

Answer:

h = 0.1 142857 w

Step-by-step explanation:

Answer:

hayy

Step-by-step explanation:

Which inequality is true?

Answers

Answer:

2 1/3 > 2 1/6

Step-by-step explanation:

2.33 > 2.17 True

How do you know if it is inequality or not w/ fraction?

An equation or an inequality that contains at least one variable is called an open sentence. When you substitute a number for the variable in an open sentence, the resulting statement is either true or false. If the statement is true, the number is a solution to the equation or inequality.

To solve an inequality using the following steps:

1) Eliminate fractions by multiplying all terms by the least common denominator of all fractions.

2) Simplify by combining like terms on each side of the inequality.

3) Add or subtract quantities to obtain the unknown on one side and the numbers on the other.

Answer:

B

Step-by-step explanation:

I did the quiz

what are the last ones

Answers

0.75 cups and 144 teaspoons

Step-by-step explanation:

I'm 99.99% sure I got it right

In a group of 90 seventh
graders, 80% like hot chocolate.
How many students do not like
hot chocolate?

Answers

90 x .80= 72. 72 Students like hot choco, therefore 8 do no like hot choco

Answer: 18

Step-by-step explanation:

90 / 10 = 9 (10%)

9 x 8 = 72 (80%)

90 - 72 = 18 (20%)

What was the purpose for the creation of the Pythagorean theorem?

Answers

Answer:

Pythagoras believed that numbers were not only the way to truth, but truth itself. Through mathematics, one could attain harmony and live an easier life. He is said to have proposed a number of mathematical theorems to this end but, of all these, only the famous Pythagorean Theorem remains.

Step-by-step explanation:

The answers are on the pic


please answer fast!!

Answers

Answer:

27

Step-by-step explanation:

The correct answer is 27

Mrs. Flossi is hosting a trivia contest for 40 students and 24 staff members. To be fair,
Mrs. Flossi wants there to be the same number of students and the same number of
staff members on each team.
What is the greatest number of teams Mrs. Flossi can make?
1. 3 teams
2. 4 teams
3. 5 teams
4.8 teams
(I WILL GIVE BRAINLIEST)

Answers

There will be 8 teams

Answer:

8 teams is answer

Step-by-step explanation:

Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already.

Answers

Answer:

Yes, but doing so will clear out his account.

Step-by-step explanation:

CHECK THE COMPLETE QUESTION BELOW

Aaron's bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:

Transaction

Cost ($)

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Aaron afford this? Explain a. Yes, he can make the purchase and still have money left over. b. Yes, but doing so will clear out his account. c. No, purchasing that would overdraw his account. d. No, he is overdrawn already

Aaron's bank account balance=$1213.69

He made all this transactions below;

Car payment

260.16

Groceries

97.98

Parking ticket

75.00

DVD box set

115.35

Antique lamp

68.53

Suit

331.84

The summation of all his transactions is;260.16+97.98+75.00+115.35+68.53+

331.84= $948.86

Which means after performing those transactions above, he was left with $948.86.

We were informed that Aaron is considering getting his car a new paint job. Doing so will have a total cost of $264.83.

For him to paint his car now he will spend $264.83, if we add with the previous transactions it sum up to $1213.69 which was actual amount he has at hand. I.e ($264.83+$948.86)=

$1213.69

Therefore, the answer is Yes, but doing so will clear out his account.

Write the following equation in slope intercept form.

7x-4y=22

y= x+

Answers

Answer:

y= -7x+22/-4

Step-by-step explanation:

Answer:

y=7/4x-11/2

Step-by-step explanation:

Move the Y and x values to separate sides

-4y=-7x+22

divide whatever it takes to make y alone (dived by -4)

y=7/4x-11/2

What is the complete factorization of the polynomial function over the set of complex numbers?

f(x)=x3−5x2+4x−20



Enter your answer in the box.

Answers

Answer:

[tex]x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})[/tex]

Step-by-step explanation:

Factorization of polynomials

Factor:

[tex]f(x)=x^3-5x^2+4x-20[/tex]

There are several techniques to factor polynomials. We'll use algebraic manipulation and common factor:

Separate in groups:

[tex](x^3-5x^2)+(4x-20)[/tex]

Factor out 4 from 4x-20:

[tex]=(x^3-5x^2)+4(x-5)[/tex]

Factor out [tex]x^2[/tex] from [tex]x^3-5x^2[/tex]

[tex]=x^2(x-5)+4(x-5)[/tex]

Factor out x-5:

[tex]=(x-5)(x^2+4)[/tex]

The roots of

[tex]x^2+4=0[/tex]

Are two complex numbers:

[tex]x=2\mathbf{i}, x=-2\mathbf{i}[/tex]

The complete factorization is:

[tex]\boxed{x^3-5x^2+4x-20=(x-5)(x+2\mathbf{i})(x-2\mathbf{i})}[/tex]

Evaluate. 68.14 + 0.0007

Answers

Answer:

68.1407 us the answer

Step-by-step explanation:

Just add

What is the slope of the line that passes through the points (8,7) and (4, 5)? Write
your answer in simplest form.

Answers

Answer: 1/2

Step-by-step explanation: got it right

The slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

What is slope of a line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y₂-y₁)/(x₂-x₁).

The given coordinate points are (8, 7) and (4, 5).

Substitute (x₁, y₁)= (8, 7) and (x₂, y₂)= (4, 5) in slope formula, we get

Slope = (5-7)/(4-8

= -2/(-4)

= 1/2

Therefore, the slope of the line that passes through the points (8,7) and (4, 5) is 1/2.

To learn more about the slope of a line visit:

https://brainly.com/question/14511992.

#SPJ6

What is the greatest common factor of 18,9, and 45,

Answers

Answer:

9

Step-by-step explanation:

They all can be divided by nine.

18/9 = 2

9/9 = 1

45/9 = 5

You are given a set of data with a mean of 50 and standard deviation of 8. Using the normal curve, give an example of an outlier and explain why.

Answers

Answer:

Anything less than 26, and greater than 74.

Step-by-step explanation:

In normal distribution, the outlier is more than e ≈ 2.72 standard deviations above quartile 3, and e standard deviations below quartile 1. These quartiles are divisions that make up what is known as the innerquartile range(IQR). Which defines the variability of a data set given by IQR = Q3-Q1.

Given that the mean of this data is 50, and the standard deviation is 8.

Our outliers are anything less than 26, and anything greater than 74. Since outliers are anything outside the mean plus and minus the standard deviation times 3

[tex] outliers :/ = :/ mean :/ \pm [/tex]

PLS ANSWER QUICKLY!
A line passes through the point (-2,3) and has a slope of 1/5.

show work to write the equation of the line in point-slope form.

Answers

Y-3=1/5(x+2) is the answer.

A contractor purchases ceramic tile to remodel a kitchen. Each tile costs $4, and the adhesive and grouting material costs $17.82. If the contractor is charged a total of $581.82, how many ceramic tiles did the contractor purchase?

Answers

Answer:

The answer is 145 ceramic tiles

Step-by-step explanation:

$4 Divided by $581.82 = 145.455

What are the values of x and y if this equation is true?

22(x + yi) + (28 + 4i) 72 – 62i

Answers

Answer:

x = 2

y = -3

Step-by-step explanation:

The given equation is,

22(x + yi) + (28 + 4i) = 72 - 62i

By solving this equation further,

22x + 22yi + 28 + 4i = 72 - 62i

(22x + 28) + (22y + 4)i = 72 - 62i

Now both the sides of the equation is in the form of complex number,

By comparing real and imaginary parts given on both the sides,

22x + 28 = 72

22x = 72 - 28

22x = 44

x = 2

22y + 4 = -62

22y = -62 - 4

22y = -66

y = -3

Therefore, x = 2 and y = -3 are the values for which the given equation is true.

(2x^4 + 3x^3 – 5x - 19)+(x^2 + 1)

Answers

Answer:

2x  4  +3x 3  +x  2  −5x−18

Step-by-step explanation:

Rona filled out this information on her monthly statement. Find Rona's revised statement balance. Does her account reconcile?

Checking Account Summary

Ending Balance

$ 72571

Deposits

+ $610.00

Checks Outstanding - $ 471.19

Revised Statement Balance

Check Register Balance $ 864.52

Answers

Answer:

Revised statement balance=$ 864.52

Yes Rona's is account reconcile

Step-by-step explanation:

Calculation to Find Rona's revised statement balance

Using this formula

Revised statement balance=Ending balance+Deposits-Checks Outstanding

Let plug in the formula

Revised statement balance=$ 725.71+$610.00-$ 471.19

Revised statement balance=$ 864.52

Based on the above calculation the Revised statement balance of the amount of $ 864.52 is equal to the balance from checkbook which simply means that Rona's ACCOUNT is RECONCILE

Using the quadratic formula to solve 5x = 6x^2 – 3, what are the values of x?

Answers

Answer:

Correct Choice: Second Option

[tex]\displaystyle x=\frac{5\pm \sqrt{97}}{12}[/tex]

Step-by-step explanation:

Standard Form of Quadratic Function

The standard representation of a quadratic function is:

[tex]f(x)=ax^2+bx+c[/tex]

where a,b, and c are constants.

Solving with the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have the following equation to solve:

[tex]5x = 6x^2 -3[/tex]

Rearranging all the terms to the left side:

[tex]6x^2 -5x- 3=0[/tex]

Comparing with the general form of the quadratic equation: a=6, b=-5, c=-3. Apply the formula:

[tex]\displaystyle x=\frac{-(-5)\pm \sqrt{(-5)^2-4(6)(-3)}}{2(6)}[/tex]

[tex]\displaystyle x=\frac{5\pm \sqrt{25+72}}{12}[/tex]

[tex]\boxed{\displaystyle x=\frac{5\pm \sqrt{97}}{12}}[/tex]

Correct Choice: Second Option

The equation p = 3.25b can be used to find the price, p, in dollars, of b pounds of blueberries at a particular supermarket.  Each of the tables gives the prices of various pounds of blueberries at a different supermarket.  Which of these tables represents blueberries that are more expensive than those represented by the equation?  Select all that apply.

Answers

Answer:

Table C, Table D, Table E

Step-by-step explanation:

See attachment for tables

Given

[tex]p = 3.25b[/tex]

Required

Which of the tables is more expensive than the given function

To answer this question, we simply determine the equation of each table and then compare the equation with [tex]p = 3.25b[/tex]

Table A:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (1,2.75)[/tex]

[tex](b_2,p_2) = (4,11)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{11 - 2.75}{4 - 1}[/tex]

[tex]m = \frac{8.25}{3}[/tex]

[tex]m = 2.75[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 2.75 = 2.75(b-1)[/tex]

[tex]p - 2.75 = 2.75b-2.75[/tex]

[tex]p = 2.75b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]2.75 < 3.25[/tex]

Hence:

This equation is less expensive than [tex]p = 3.25b[/tex]

Table B:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (1.5,3.75)[/tex]

[tex](b_2,p_2) = (6,15)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{15 - 3.75}{6 - 1.5}[/tex]

[tex]m = \frac{11.25}{4.5}[/tex]

[tex]m = 2.5[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 3.75 = 2.5(b-1.5)[/tex]

[tex]p - 3.75 = 2.5b- 3.75[/tex]

[tex]p = 2.5b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]2.5 < 3.25[/tex]

Hence:

This equation is also less expensive than [tex]p = 3.25b[/tex]

Table C:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (2,7)[/tex]

[tex](b_2,p_2) = (4,14)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{14 - 7}{4 - 2}[/tex]

[tex]m = \frac{7}{2}[/tex]

[tex]m = 3.5[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 7 = 3.5(b - 2)[/tex]

[tex]p - 7 = 3.5b - 7[/tex]

[tex]p = 3.5b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3.5 > 3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table D:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (2.5,10)[/tex]

[tex](b_2,p_2) = (5,20)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{20 - 10}{5 - 2.5}[/tex]

[tex]m = \frac{10}{2.5}[/tex]

[tex]m = 4[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 10 = 4(b - 2.5)[/tex]

[tex]p - 10 = 4b - 10[/tex]

[tex]p = 4b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]4 > 3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table E:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (6, 22.5)[/tex]

[tex](b_2,p_2) = (12,45)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{45 - 22.5}{12 - 6}[/tex]

[tex]m = \frac{22.5}{6}[/tex]

[tex]m = 3.75[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p - 22.5 = 3.75(b - 6)[/tex]

[tex]p - 22.5 = 3.75b - 22.5[/tex]

[tex]p = 3.75b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3.75>3.25[/tex]

Hence:

This equation is more expensive than [tex]p = 3.25b[/tex]

Table F:

Consider two corresponding points in the table, we have:

[tex](b_1,p_1) = (7, 21)[/tex]

[tex](b_2,p_2) = (14,42)[/tex]

Determine the slope

[tex]m = \frac{p_2 - p_1}{b_2 - b_1}[/tex]

[tex]m = \frac{42 - 21}{14 - 7}[/tex]

[tex]m = \frac{21}{7}[/tex]

[tex]m = 3[/tex]

The equation is determined as follows:

[tex]p - p_1 = m(b-b_1)[/tex]

[tex]p -21 =3(b -7)[/tex]

[tex]p -21 =3b -21[/tex]

[tex]p = 3b[/tex]

Comparing this equation to [tex]p = 3.25b[/tex], we have that:

[tex]3 < 3.25[/tex]

Hence:

This equation is less expensive than [tex]p = 3.25b[/tex]

A new television set was recently purchased for the common room in a Residence Hall for $408.00 including tax. If the tax rate is 2% ​, find the price of the television set before taxes.

Answers

Answer:

399.84

Step-by-step explanation:

408.00 x .98 (2% reduction from 100) = 399.84

$3.75 for 5 apples: division pls

Answers

Answer: 0.75

Step-by-step explanation:

It is easier to divide if you get rid of the decimal, divide 375/5, and then add the decimal back.

Find the midpoint of the line with endpoints G(-4,4) and H(6,4)

Answers

Answer:

(1,4)

Step-by-step explanation:

Use the midpoint formula to find the midpoint of the line segment.

Solve 12-5x-4kx=y for x

Answers

Answer:

x  = - y-12/5+4k

Step-by-step explanation:

Solve 12-5x-4kx=y for x

12-5x-4kx  =  y for x

substract 12 from both side

   -5x-4kx  =  y-12

Factor of -5x-4kx = -x(5+4k)

   -x(5+4k) =  y-12

Solve for x

             -x =  y-12/(5+4k)

Therefore x = - y-12/5+4k

what is vertex of the graph of the function below y=x^2-10x+21

Answers

Answer:

(-4,5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

it is (5,-4) the first answer is backwards

what is the sum of the place values of the number 6,453​

Answers

Answer:

Thousands Hundreds Tens Ones

          6                      4                    5             3

Step-by-step explanation:

Number x Multiplier = Value

   6           x         1,000            6,000

   4           x           100              400  

   5           x            10                       50

   3           x             1                        3

Add up all of the values and you get 6,453.


What is the definition of rate of change?

Answers

Answer:

Value over a defined period of time, and it represents the momentum of a variable. ✨

Step-by-step explanation:

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Featured snippet from the web
What is Rate of Change (ROC) ... ROC is often used when speaking about momentum, and it can generally be expressed as a ratio between a change in one variable relative to a corresponding change in another; graphically, the rate of change is represented by the slope of a line. Hope this helps

Point P' is the image of P(-2,4) under a translation by 2 units to the left and 5 units down.

Answers

Answer:

(-4,-1)

X value: -2 - 2 = -4.

Y value: 4 - 5 = -1

13 and 5/8 plus 7/8 please answer quickly

Answers

13 5/8 + 7/8 = 14 1/2

5/8 + 7/8 = 1 4/8 = 1 1/2

1 1/2 + 13 = 14 1/2

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