The rectangle below has an area of x^2-6x-7 sq meters and a width of x-7 meters.


What expression represents the length of the rectangle?


Length=______ meters

Answers

Answer 1

Answer:

Length = ( x - 1 ) ( m)

Step-by-step explanation:

Area of rectangle is:

A(r) = l*w ( in m² )    where l is the length in m   and w is the width in m

If we have:  A(r)  =  x² - 6*x  - 7 (m²), as an area of a rectangle, then we can factoring the equation, and get the rectangle dimensions, then:

x²  - 6*x  -  7  =  ( x  - 1 ) * ( x - 7 ) = area of the rectangle in m²

As problem statement establishes that ( x - 7 ) ( m)  is the width, then

( x - 1 ) ( m) is the length


Related Questions

Find the area of a parallelogram with base b = 19 in. and height h = 15 in.

A) 68 in.2
B) 285 in.2
C) 34 in.2
D) 142.5 in.2

Answers

Answer:

B) 285 in.2

Step-by-step explanation:

Reason 19 x 15 = 285 in.2

9(2.3n+6)+10.45>43.7

Answers

Answer:

Step-by-step explanation:

9(2.3n+6)+10.45>43.7

(9*2.3n)+(9*6)+10.45>43.7

20.7n+54+10.45>43.7

20.7n+64.45>43.7

Please HELP QUICK

I need help solving this equation -11p²-4=0

Answers

Answer:

p = sqrt 11 + 4

Step-by-step explanation:

The midpoint between (–4, 8) and (0, 10) is (x, y). What is x?

Answers

Answer:

x = -2

Step-by-step explanation:

The x coordinate of the midpoint is found by adding the x coordinates together and dividing by 2

( -4+0)/2 = -4/2 = -2

The y coordinate of the midpoint is found by adding the y coordinates together and dividing by 2

( 8+10)/2 = 18/2 = 9

what is the answer = 8w- 8 - 6w = 4w - 7
w= ??

Answers

Answer:

- 1/2     (or - 0.5)

Step-by-step explanation:

so first, simplify by combining like terms.

so 8w-6w = 2w

so now we have

2w - 8 = 4w - 7

now we have to get the w's to one side of the equation so we can solve for it. so that mean we have to subtract 2w from both sides. 2w - 2w is 0. and then 4w - 2w = 2w. so now we have

-8 = 2w - 7

then to slowly start isolating w, add 7 to both sides of th equation. so now its

-1 = 2w

finally to get w by itself divide 2 from both sides.

and the answer is

-[tex]\frac{1}{2}[/tex] = w

What are the domain and range of F(x) = -8 ?

A. Domain: All real numbers greater than or equal to -8
Range: All real numbers

B. Domain: {-8}
Range: All real numbers

C. Domain: All real numbers
Range: All real numbers greater than or equal to -8

D. Domain: All real numbers
Range: {-8}

Answers

I think is c that what i think

I need help with this it's for my E2020 class ​

Answers

Answer:

[tex]f = \frac{ - 6g}{5} [/tex]

Step-by-step explanation:

6f + 9g = 3g + f

6f - f = 3g - 9g

5f = - 6g

[tex]f = \frac{ - 6g}{5} [/tex]

Answer:

B

Step-by-step explanation:

Ella simplifies (3 b + 4 r) + (negative 2 b minus r) and says the result is b Plus 5r. What error did Ella make? Ella incorrectly combined the b coefficients. The correctly simplified expression is 5 b + 5 r. Ella incorrectly combined the b coefficients. The correctly simplified expression is Negative b + 5 r. Ella incorrectly combined the r coefficients. The correctly simplified expression is b – 5r. Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.

Answers

Answer:

Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.

Step-by-step explanation:

(3b+4r)+(-2b-r)

Open the bracket

=3b+4r-2b-r

Combine the like coefficient

=3b-2b+4r-r

=b+3r

Ella incorrectly combined the r coefficients. The correctly simplified expression is b Plus 3r.

Answer:

Im like 2 years late, but the answer is D

Step-by-step explanation:

Ella incorrectly combined the r coefficients, the correct simplified expression is b+3r.

person below or above me is correct.

22. 48.6% of the North Dakota population over 18 years old is female.
65.9% of the total population of North Dakota over 18 years old has
enrolled in college at some point in their lives. If these two events are
independent of each other, what is the probability that a randomly
selected adult in North Dakota will be a female who has enrolled in
college, to the nearest percent.

Answers

Answer:

32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.

Step-by-step explanation:

We have these following probabilities:

48.6% probability that a randomly selected adult in North Dakota is a female.

If a randomly selected adult in North Dakota is over 18, 65.9% probability that they have enrolled in college at some point in their lives.

These events are independent.

This means that to find the probability that a randomly selected adult in North Dakota will be a female who has enrolled in college, we can just multiply these probabilities.

P = 0.486*0.659 = 0.32 = 32%

32% probability that a randomly selected adult in North Dakota will be a female who has enrolled in college.

Answer:

the probability that a randomly selected adult in North Dakota will be a female who has enrolled in

college is 32%

Step-by-step explanation:

Given;

48.6% of the North Dakota population over 18 years old is female

P(f) = 48.6% = 0.486

65.9% of the total population of North Dakota over 18 years old has enrolled in college at some point in their lives;

P(c) = 65.9% = 0.659

Since, these two events are independent of each other, the probability that a randomly selected adult in North Dakota will be a female who has enrolled in

college is;

P(f∩c) = P(f) × P(c) = 0.486 × 0.659 = 0.320274

P(f∩c) = 0.32

P(f∩c) = 32%

Using the formula A=P(1+r/n) ^nt calculate the value of an initial investment of $4,500 after 10 years at 4% interest, compounded quarterly (four times per year).

Answers

Answer:

Using the formula provided, the value of that investment after 10 years is

A = P(1 + r/n) ^nt

   = 4500 x (1 + (4/100)/4)^(10 x 4)

   = 4500 x (1.01)^40

   = 6699.89$

Hope this helps!

:)

The value of that investment after 10 years is $6699.89

Important information:an initial investment of $4,500 after 10 years at 4% interest, compounded quarterly

calculation:

[tex]A = P(1 + r/n) ^{nt}\\\\= 4500 \times (1 + (4/100)/4)^(10 \times 4)\\\\= 4500 \times (1.01)^{40}[/tex]

= 6699.89

learn more about the investment here: https://brainly.com/question/24002393

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?

Answers

Answer:

325,452 more meteors fell during the Perseid meteor shower

Step-by-step explanation:

An year has 365 days.

Each day has 24 hours.

Each hour has 60 minutes.

Minutes in an year:

365*24*60 = 525600

Persoid:

[tex]1 + \frac{1}{5} = 1 + 0.2 = 1.2[/tex]

One each 1.2 minutes. How many during an year?

1 meteor - 1.2 minutes.

x meteors - 525600 minutes.

[tex]1.2x = 525600[/tex]

[tex]x = \frac{525600}{1.2}[/tex]

[tex]x = 438000[/tex]

438,000 meteors fell during the Persoid shower.

Leonid:

[tex]4 + \frac{2}{3} = 4.67[/tex]

One each 4.67 minutes. How many during an year.

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

[tex]4.67x = 525600[/tex]

[tex]x = \frac{525600}{4.67}[/tex]

[tex]x = 112548[/tex]

112,548 meteors fell during the Leonid Shower.

How many more meteors fell during the Perseid meteor shower?

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

Which data sets have outliers? Check all that apply.
A)14, 21, 24, 25, 27, 32, 35
B)15, 30, 35, 41, 44, 50, 78
C)16, 32, 38, 39, 41, 42, 58
D)17, 23, 28, 31, 39, 45, 75
E)18, 30, 34, 38, 43, 45, 68

Answers

Answer:

A -B-C

Step-by-step explanation:

Line A is going by sevens till it hit s 25 it dosnt fit

line b is going by 5 but 41 dosnt fit

and with c its going by 6 but 41 dosnt fit

Answer:

C and E

Step-by-step explanation:

16, 32, 38, 39, 41, 42, 58

and

18, 30, 34, 38, 43, 45, 68

The outliers are 16

and

68

Hi children!! please find the area of this shape thx!!!

Answers

Answer:

maybe 25

Step-by-step explanation:

If you rearrange the shape it makes it in to a square and you would just need to mutiply.

Henry is diving off a diving board that is 7m above the water. After 2 seconds, he reaches his maximum height of 9m above the water. What height will Haney be after 5 seconds?

Answers

Answer:

22.5m,

2+2=4

therefore:

9+9=18

and to get 2 to equal 1 half it,

half of 9= 4.5, add it to 18 , and you have 22.5.

:)

sorry for any mistakes, I'm not that good, but i thought i could manage this :)

what is the eighth multiple of 12​

Answers

Answer:

96

Step-by-step explanation:

eighth multiple of 12 = 12 * 8 = 96

Answer:

96

Step-by-step explanation:

12×1=12

12×2=24

12×3=36

12×4=48

12×5=60

12×6=72

12×7=84

12×8=96

If you divided 58 objects into sets of 10, how many sets of 10 could you make, and how many are left over?

Answers

Answer:

5 SETS OF 10 WE CAN MAKE, 8 OBJECTS WILL LEFT.

Step-by-step explanation:

Answer:

We can Make 5 sets of 10 and have 8 left over :)

Step-by-step explanation:

we have 58 objects and we make them into sets of 10

1 set=10

1 set  2 set  3 set 4 set 5 set        |       1 one 2 one 3 one 4 one 5 one 6 one 7               ()        ()          ()       ()       ()             |       one 8 one

can i get brainliest

According to a recent survey, the mean income before taxes of consumer units (i.e., households) in the U.S. was $60,533 with a margin of error equal to 1406.32 (for a 95% confidence level). Calculate a 95% confidence level for the population mean income before taxes for all U.S. consumer units.A (58,681.82, 62,384.18)B (57,776.61, 63,289.39)C (59,097.98, 61,968.02)D (59,126.68, 61,939.32)E (60,166.92, 60,899.08)

Answers

Answer:

D (59,126.68, 61,939.32)

Step-by-step explanation:

A confidence interval has two bounds, a lower bound and an upper bound. These bounds depend of the sample mean and of the margin of error.

The lower bound is the sample mean subtracted by the margin of error.

The upper bound is the margin of error added to the sample mean.

In this question:

Sample mean: 60,533

Margin of error: 1406.32

Lower bound: 60,533 - 1406.32 = 59,126.28

Upper bound: 60,533 + 1406.32 = 61,939.32

So the correct answer is:

D (59,126.68, 61,939.32)

Jason is planning to replace carpet in the utility room of his house the length of the room is 8 feet and the width of the room is 7 feet how many square feet of carpet does jason need

Answers

Given Information:

Length of room = l = 8 feet

Width of room = w = 7 feet

Required Information:

Amount of carpet = ?

Answer:

Amount of carpet = 56 ft²

Step-by-step explanation:

Jason wants to replace the carpet in the utility room of his house.

We are given the dimensions of the room and we are asked to  find the required amount of carpet in square feet.

The required amount of carpet is given by

[tex]A = w\times l[/tex]

where w is the width of room and l is the length of the room.

[tex]A = 7\times 8\\\\A = 56 \:[/tex]

Therefore, Jason need 56 square feet of carpet for the utility room.

You ask a friend to think of a number from 8 to 15. What is the probability that his number will be a multiple of three?

show work pls tnx!

Answers

Answer:

Step-by-step explanation:

numbers are 8,9,10,11,12,13,14,15

total events(numbers)=8

multiples of 3 are 9,12,15

or favorable events are 9,12,15

number of favorable events=3

P=3/8

Eva can type 120 words in 3 minutes. If w represents the number of words she can type in 8 minutes, what proportion could NOT be used to find the value of w?

Answers

Answer:

minute per words because it would be in accurate.

what is the answer to 2s+(−4s)=?

Answers

Answer:

-2s

Step-by-step explanation:

Answer:

-2s

Step-by-step explanation:

2-4 is equal to negitive 2

-2

and since they are like terms with the s, the answer is

-2s

hope this helps! ;)

amiee wants to order DVDs from amazon each DVD costs 8.49 and shipping for the entire order is 5 dollars she only has 70 dollars to spend how many DVDs can she order

Answers

You can only get 7 because you could get 8 of them but you need to remember that shipping is 5 dollars. 70/8.49 is 8.24499411 but it would be 7 dvds.

Dan has $2.50 in cash that he can leave as a tip. His bill can be no more than what amount if his tip
is to be appropriate?

Answers

he can be no cash in his account

What two integers is the square root of 84 between?


7 and 8


8 and 9


9 and 10

Answers

Answer:

9 and 10

Step-by-step explanation:

We know that 9 can be expressed as √81, and 10 is equal to √100, and because 81 < 84 < 100, it is in between 9 and 10. Hope this helps!

Please helo me ASAP!!!

Answers

Answer:

17.6

Step-by-step explanation:

Formula= sumfx÷sumf

sumfx= 63×0+34×0+27×1+13×2=53

sumfx=0+0+1+2=3

53÷3= 17.6

final answer =17.6

Yo got it? Or u want me to chime in?

83 random samples were selected from a normally distributed population and were found to have a mean of 32.1 and a standard deviation of 2.4. Construct a 90% confidence interval for the population standard deviation.

Answers

Answer:

[tex]\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}[/tex]

[tex] 4.525 \leq \sigma^2 \leq 7.602[/tex]

Now we just take square root on both sides of the interval and we got:

[tex] 2.127 \leq \sigma \leq 2.757[/tex]

Step-by-step explanation:

Information given

[tex]\bar X=32.1[/tex] represent the sample mean

[tex]\mu[/tex] population mean (variable of interest)

s=2.4 represent the sample standard deviation

n=83 represent the sample size  

Confidence interval

The confidence interval for the population variance is given by the following formula:

[tex]\frac{(n-1)s^2}{\chi^2_{\alpha/2}} \leq \sigma^2 \leq \frac{(n-1)s^2}{\chi^2_{1-\alpha/2}}[/tex]

The degrees of freedom given by:

[tex]df=n-1=8-1=7[/tex]

The confidence level is 0.90 or 90%, the value of [tex]\alpha=0.1[/tex] and [tex]\alpha/2 =0.05[/tex], and we can use excel, a calculator or a table to find the critical values.  

The excel commands would be: "=CHISQ.INV(0.05,82)" "=CHISQ.INV(0.95,82)". so for this case the critical values are:

[tex]\chi^2_{\alpha/2}=104.139[/tex]

[tex]\chi^2_{1- \alpha/2}=62.132[/tex]

The confidence interval is given by:

[tex]\frac{(82)(2.4)^2}{104.139} \leq \sigma^2 \leq \frac{(82)(2.4)^2}{62.132}[/tex]

[tex] 4.525 \leq \sigma^2 \leq 7.602[/tex]

Now we just take square root on both sides of the interval and we got:

[tex] 2.127 \leq \sigma \leq 2.757[/tex]

Assuming a motorcycle traveled 80 miles in 5 hours at a constant speed, How far did it go in 1 hour?

Answers

Answer:

16 miles

Step-by-step explanation:

We can write the ratio of miles:hours as 80:5 using the given information. Because we want to find the distance of 1 hour, we can divide the ratio by 5 (because 5/5 is 1, and we want 1 on the "right side") which gets us 16:1. This means that the motorcycle traveled 16 miles in one hour. Hope this helps!

Answer:

16 miles in 1 hour

Step-by-step explanation:

We can use ratios to solve

80 miles           x miles

------------------- = ------------------

5 hours             1 hours

Using cross products

80*1 = 5x

Divide each side by 5

80/5 = 5x/5

16 =x

16 miles in 1 hour

Marianne’s box for camp measures 24 inches by 24 inches by 14 inches. Will her field hockey stick , which is 1 yard long , fit in the box ? Explain your answer

Answers

Answer:

Yes

Step-by-step explanation:

1 yard is approximately 3 feet. The hypotenuse of the base (24 x 24) of the box is 33.94 inches. Then the hypotenuse of the Base's hypotenuse and the height of 14 inches is 36.72 inches, which is just over 3 feet, so the stick should fit.

(−4, 4) to the line y=−2x+1

Answers

Answer:

that is not a point to the line

Step-by-step explanation:

[tex]\frac{3^{2} }{6^{2} }[/tex]÷[tex]\frac{2^{2} }{2^{2} }[/tex] AYUDAAAA !!!

Answers

Answer:

1/4

Step-by-step explanation:

Simplify the following:

(3^2/6^2)/(2^2/2^2)

Multiply the numerator by the reciprocal of the denominator, (3^2/6^2)/(2^2/2^2) = 3^2/6^2×2^2/2^2:

(3^2×2^2)/(6^2×2^2)

(3^2×2^2)/(6^2×2^2) = 2^2/2^2×3^2/6^2 = 3^2/6^2:

3^2/6^2

6^2 = 36:

3^2/36

3^2 = 9:

9/36

The gcd of 9 and 36 is 9, so 9/36 = (9×1)/(9×4) = 9/9×1/4 = 1/4:

Answer:  1/4

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