A rectangle has an area represented by x^2 - 4x - 12 square feet. If the length is x + 2 feet, what is the width of the rectangle?

Answers

Answer 1

Answer: Since x2=6, the width of the rectangle is x-6.

Explanation: factor x^2-4x-12.

given that length=x+2 and area of rectangle = length * width

all you have to do is find the width

there are several way to do this, here is one:

Since one factor of x^2-4x-12 is x+2, x1=-2 is a solution to x62-4x-12=0 so in order to find the other solution, you can use the sum and product properties.

x1*x2= -12 with x1=-2, so x2=6.

Since x2=6, the width of the rectangle is x-6.


Related Questions

The product of 5 and a number is 30. Write and solve an equation to find the
missing number

Answers

Answer: 5x=30  your number is 6

Step-by-step explanation:  The product is multiplying so 5 times a number is 30. you divide the 5 over and you get 6.

Can someone help ? please

Answers

Answer:

(-4,3)

Step-by-step explanation:

In a function no two points can be on the same x value.

whats12 divided by 1/3 (infractions)

Answers

12 divided by 1/3 is also equal to 12 times 3.

12x3=36

To double check, you could use a calculator, but the answer would still be 36.

sorry if this doesn't help

Answer:

36/1

36

Step-by-step explanation:

Prove this
ASAP PLSSS

Answers

Answer:

its now proved

Step-by-step explanation:

Answer:

using this identies

easy too solve this question

Square root 50 is between what two consecutive whole numbers?

Answers

Answer:

√50 lies between 7 and 8.15

Step-by-step explanation:

your welcome.

Answer:

7 and 8

..

.....

show that the equation x^3 + x - 3 has a solution between 1 and 2

Answers

Answer:

see explanation

Step-by-step explanation:

Evaluate the polynomial at x = 1 and x = 2

x = 1 : 1³ + 1 - 3 = 1 + 1 - 3 = - 1

x = 2 : 2³ + 2 - 3 = 8 + 2 - 3 = 7

Then ( 1, - 1 ) → (2, 7 )

Shows the polynomial goes from y = - 1 to y = + 7

The change in sign indicates the graph crosses the x- axis between 1 and 2

Thus indicating a solution between x = 1 and x = 2

Jordan runs 20% of a marathon relay race. If a
marathon course is 25 miles long, how many miles
does Jordan run?
I’m

Answers

Answer:

5

Step-by-step explanation:

Answer:

5 miles

Step-by-step explanation:

Take 20% of 25, you can do this by multiplying the decimal form of 20% by 25:

0.20 x 25 = 5

Ethan invested $9,500 in an account paying an interest rate of 2 3/4% compounded monthly. Henry invested $9,500 in an account paying an interest rate of 3 3/8% compounded quarterly. After 9 years, how much more money would Henry have in his account than Ethan, to the nearest dollar?

Answers

Answer:

691

Step-by-step explanation:

Henry would have $1,005.94 more than Ethan in his account after 9 years.

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

To solve this problem, we can use the formula for compound interest:

[tex]A = P(1 + r/n)^(^n^t^)[/tex]

where A is the amount after t years,

P is the principal

r is the annual interest rate,

n is the number of times the interest is compounded per year, and

t is the time in years.

For Ethan:

P = $9,500, r = 2.75% = 0.0275 (since it is compounded monthly, n = 12), and t = 9

[tex]A = 9,500(1 + 0.0275/12)^(^1^2^\times^9^)[/tex]

= $12,817.84

For Henry:

P = $9,500,

r = 3.375% = 0.03375 (since it is compounded quarterly, n = 4), and

t = 9

[tex]A = 9,500(1 + 0.03375/4)^(^4^\times^9^)[/tex]

= $13,823.78

The difference in the amounts is:

$13,823.78 - $12,817.84 = $1,005.94

Therefore, Henry would have $1,005.94 more than Ethan in his account after 9 years.

To learn more on Percentage click:

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in how many ways can 20 ants march in a line

a. 20!
b. 18!
c. 15!
d. 56289

Answers

The answer to your question would be D!

Answer:

20

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Could someone Help pleasee ??!

Answers

Answer:

sorry if im wrong

Step-by-step explanation:

no

no

yes

yes

Mark spends $36 at a basketball game. He buys a T-shirt for $22. He then buys a bottle of water for $4 and 2 tacos. How much is each taco?

Answers

Answer:

each taco is $7.

Step-by-step explanation:

In total he spent $36. He bought a shirt for $22 and a bottle of water for $4.

22+4= 26

36-22= 14

14 divided by 2= 7

Answer:

each taco is $5.

Step-by-step explanation:

Let's think about like Mark starts off with $36. Take away $22 for that t-shirt he bought. Now he has $14. He uses $4 for water, now he has $10. The rest of his money is spent on tacos. $10/2 tacos is $5 for each taco. :)

The sum of three times the value of X and two is equal to four less than five times the value of X.which equation can be used to find value of X

Answers

I got 3x + 2 = 5x - 4 which is a three-step equation. Does that answer your question?

There are 35 boys out for football. This is about 5% of the total enrollment. How
many total kids are in the school?

Answers

Answer:

700  

Step-by-step explanation:

35/x = 5/100

cross-multiply:

5x = 3500

x = 700

HELP DUE AT MIDNIGHT

Answers

8 and 4 are corresponding angles

Answer:

Will you give brainliest? I know the answer. Only if you would give brainliest.

Step-by-step explanation:

A company was able to incite staff from 100 employees to 214 employees. What was the percentage increase in staff

Answers

Answer:

114%

Step-by-step explanation:

A company was able to incite staff from 100 employees to 214 employees. What was the percentage increase in staff?

Percentage Formula is given as:

New value - Old value/Old value × 100%

New value = 214

Old value = 100

Hence:

Percentage increase = 214 - 100/100 × 100

= 114/100 × 100

= 114 %

Therefore, the percentage increase = 114%

can someone pls help.​

Answers

Answer:

25

Step-by-step explanation:

multiply then add hoped that helped

Answer:

25 and 9

Step-by-step explanation:

I need help with this answer I would like help !

Answers

the answer is 1/15
hope this helped!

if you know the 7- square root of 5 is a root of a polynomial function, then the name given to 7+ square root of 5, which is another root of that same function, is the radical ___?​

Answers

Answer: conjugate

Step-by-step explanation: A P E X

The other root of that same function is the radical conjugate.

What is a Polynomial?

A polynomial is an expression consisting of variables, exponents, and coefficients of the variables joined by a plus or minus sign.

The expression is

7-√5

If this expression is a root of a polynomial, and 7+√5 is the root of the same polynomial then the radical is called radical conjugate.

A radical conjugate is an expression in which is there is at least one radical term, which is the same to the other expression with the same two terms and different signs.

To know more about Polynomial

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opposite reciprocal of -8/3

Answers

Answer:

3/-8

Is the reciprocal.....

A local boys club sold 196 bags of mulch and made a total of $565. It sold two types of mulch: hardwood for $3.25 a bag and pine bark for $2.75 a bag. How many bags of each kind of mulch did it sell?

The boys club sold
bags of hardwood mulch and
bags of pine bark mulch.

Answers

Answer:

96

Step-by-step explanation:

Someone please help me I’ll give out brainliest please dont answer if you don’t know

Answers

Answer: hey Andrew Davila it’s green Z

Step-by-step explanation:

Answer:

it might be Green z

Step-by-step explanation:

because there is only three (Z) and one (X) so it represents Green Z

I hope it works out

Please and don’t just answer for the points, it’s rude

Answers

a. (1,2) and b. no solution




let me know if you need me to explain

Answer:

7a ( 1,1)

7b ∅  or no solution

Step-by-step explanation:

The solution to the system is where the two functions intersect

For 7a.  The parabola and the line intersect at (1,1)

For 7b  The parabola and the line do not intersect so there is no solution

five horses can plow 20 acres of land how many can 21 horses plow

Answers

Answer:

84

Step-by-step explanation:

Please answer I’ll make brainliest

Answers

Answer:

The lengths that represent the legs of tri ABC are AC and BC

Step-by-step explanation:

AB is the hypotenuse as it is the side opposite to 90°

Answer:

Step-by-step explanation:

AC and BC are legs of the right triangle ABC

If your scale factor is 3/4, how will the scaled copy compare to the original?

It will be the same size.


It will be larger.


It will be smaller.

Answers

A scaled copy with the scale factor being 3/4 it would be smaller because it’s less than one so whenever there is a fraction that’s less than one then the shape would be smaller aswell

x2 - 18x + 81
True or False?
Your FACTOR is when you SQUARE your B value.

Answers

in this way you can solve this

Are triangles congruent if three pairs of corresponding sides are
congruent? Pls help me.

Answers

Answer:

if triangles are congruent if three pairs of corresponding sides are

congruent.to made a congruent triangle

following axiom need to fulfilled.

A.S.A AXIOMS.S.S. AXIOMS.A.S. AXIOM

Answer:

to my knowledge yes they are

Step-by-step explanation:

Given the graph below find the slope.

Answers

Answer:

slope=4

Step-by-step explanation:

in order to find slope, you can use rise/run. You start at the first point, count up, and then count to the right until you get to the second point. rise/run is 4/1 or just 4.

A farmer is creating a budget for planting soybeans and wheat. Planting soybeans costs $200 per acre and planting wheat costs $500 per acre. He wants to spend no more than $100,000 planting soybeans and wheat. What is the "multiplier" for soybeans? ​

Answers

Answer:

5 acres < soybeans < 495

2 acres < wheat < 198 acres

Step-by-step explanation:

If farmer plans to plant minimum of soybeans, it should be 5 acres of soybeans costing $1000. The remaining cost of $98,000 will be available for maximum of wheat, i.e., 198 acres of wheat.

Similarly, if we go for minimum possible planting for wheat, it should be 2 acres, and then resulting in 495 acres for soybeans

5 acres < soyabeans < 495

2 acres < wheat < 198 acres  

Answer:

The multiplier for soybeans is 200, which is dollars per acre.

Step-by-step explanation:

5 acres ≤ soybeans ≤ 495 acres (constraint)

2 acres ≤ wheat ≤ 198 acres (constraint)

150w + 125s = 100,000

This would represent 150 acres of wheat and 125 acres of soybeans. The acres of wheat would add up to $75,000 because 150 x 500 = 75,000 and the acres of soybeans would add up to $25,000 because 125 x 200 = 25,000. (example of a solution, there are more possible)

If a= 2, b=3, and c=1 find the value of the each of the following
question:5a
PLEASE ANSWER THIS IS AN EXAM

Answers

Answer:

10

Step-by-step explanation:

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