The area in square feet of a rectangular garden can be expressed as the product of the garden’s length and width, or A(x) = 3x2 +13x +14. If the width of the garden is (x + 2) feet, what is the length of the garden?

Answers

Answer 1

Answer:

3x+7

Step-by-step explanation:

Use long division or synthetic division. (3x^2+13x+14)/(x+2)

Answer 2

The length of the rectangular garden is 3x + 7

The given expression:

[tex]A = 3x^2 + 13x + 14[/tex]

the width of the garden = x + 2

let the length of the garden = y

To find:

the length of the garden

The area of the rectangular garden is calculated as;

[tex]A = y(x + 2) = 3x^2 + 13x + 14\\\\y(x + 2) = 3x^2 + 13x + 14\\\\y = \frac{3x^2 + 13x + 14}{x + 2}[/tex]

Using long division method:

                         3x + 7

                    ------------------------------

        x + 2 √ 3x² + 13x + 14

                  - (3x² + 6x)

                   -------------------------

                              7x + 14

                            - (7x + 14)

                  -------------------------------

                                0

Thus, the length of the rectangular garden, y = 3x + 7

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Related Questions

Which type of number?

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its c

Step-by-step explanation:

rational because when you divide both values you get 1, it's a rational number

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Answer:

2x(5+13)

Step-by-step explanation:

add then multiply by 2

Answer:

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Select the real-world problem that could be solved using a proportion.

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Answer: D

Step-by-step explanation:

D can be solved using 300/6 = x/10 making it a proportion

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Answer:40

Step-by-step explanation:

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Answer:

40

Step-by-step explanation:

add 100+10+10 and divide it by 3

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Answer:

900 km/h

Step-by-step explanation:

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Do $71.75 - $8.00. Next divide that by 5. Here you should get the "each hour" amount.

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Answer:

m=-37

Step-by-step explanation:

m-35=-72

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Step-by-step explanation:

Answer:

1.3

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If in one batch of cookies, you used 6 cups of dough and 2 cups of chocolate chips. How many cups of chocolate chips will you need to make 3 batches of cookies?​

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1 batch = 2 cups
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Answer:

(x, y) -----> (x + 3, y - 4)

Step-by-step explanation:

3 to the right means add 3 to x.

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Answers

Answer:

a

Step-by-step explanation:

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Answers

Answer:

$83.74

Step-by-step explanation:

6% tax is $4.74

$79.00 + 4.74 = $83.74

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Answers

Answer:

[tex]CD = 12.6866616739cm[/tex]

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Step-by-step explanation:

[tex]CB = a[/tex]

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[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

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[tex]CD = \frac{ \sqrt{108} }{ \sin(55) } [/tex]

[tex]CD = 12.6866616739cm[/tex]

[tex]CD \approx12.7cm[/tex]

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Answers

Answer:

A

Step-by-step explanation:

1) first there are a few rules we need to know:

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b) the difference between any two sides of a triangle is always smaller than the 3rd side;

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triangle 3,4,5 follows all the rules,

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Answers

Answer:

3,147.44828

Step-by-step explanation:

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Answers

A
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Answers

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Step-by-step explanation:

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90

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Answers

Answer:

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Step-by-step explanation:

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Change the rate, 4.5 to 0.045 to help solve the problem.

Times 650.00, 0.045, and 1 together.

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Answers

Answer:

y = 6/5x - 5

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer/how I got this answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

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Answer:

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Answer:

x=3

Step-by-step explanation:

5x+2=7x−4  

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5x – 4y + 2z = 21
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Answer:

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Step-by-step explanation:

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Answer:

Y=-4

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y = 3x + 2

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Answer:

Y=5

Step-by-step explanation:

Y=2+3

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Answer:

Step-by-step explanation:

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Answer:

1/x^7

Step-by-step explanation:

Answer:

1/x^7

Step-by-step explanation:

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Answer:

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The answer is B. X axis

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Answers

Answer:

All the options are equivalent except;

4 + y

Step-by-step explanation:

The question relates to the number of ways the operation of a multiplication operation can be represented algebra

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4y = 4 × y

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Therefore;

(4)(y) = 4 × y

3) The dot symbol, '·', placed between two numbers, a number and a variable or two variables, is a representation of multiplication of the two quantities

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4·y = 4 × y

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Therefore;

4 + y ≠ 4 × y.

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