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riadik2000 [5.3K]
3 years ago
9

The area of a rectangular garden can be expressed as A = 2x^2 -x -6. The width of the garden is 2x+3. Find an expression for the

length of the garden. Write it below.
Mathematics
1 answer:
zalisa [80]3 years ago
5 0

Answer:

Step-by-step explanation:

2x² -x - 6 = 2x² - 4x + 3x - 3*2

              = 2x*(x - 2) + 3*(x - 2)

              = (x-2)(2x + 3)

A = 2x² -x - 6

A = (x - 2)(2x + 3)

length*width = (x - 2)(2x + 3)

length * (2x +3) = (x - 2)(2x + 3)

length=\frac{(x-2)(2x+3)}{(2x+3)}

length = x - 2

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Expand and combine like terms.<br><br> (2x4 + 32°) (224 – 3.2%)
Charra [1.4K]

Answer:

This can be wrong but somehow I got 2015.712

Step-by-step explanation:

Maybe wait for another answer tho, I can be wrong.

4 0
2 years ago
17, 13, 9,5...<br> determine the sequence
ValentinkaMS [17]

This is an arithmetic sequence because we are adding the same amount each time. In this case, we are adding -4 to each term to get the next term

17 + (-4) = 13

13 + (-4) = 9

9 + (-4) = 5

and so on. The starting term is a_1 = 17

The common difference is d = -4

The nth term of the arithmetic sequence can be found by this formula

a_n = a_1 + d(n-1)\\\\a_n = 17 + (-4)(n-1)\\\\a_n = 17 - 4n + 4\\\\a_n = -4n+21

For instance, if n = 2, then,

a_n = -4n+21\\\\a_2 = -4(2)+21\\\\a_2 = -8+21\\\\a_2 = 13

which matches up with the second term listed.

4 0
3 years ago
Read 2 more answers
The length of a pencil is measured with two rulers. Report the length of the pencil from each ruler with the proper number of di
Roman55 [17]

Answer

Length measured using Ruler A= 1.17 dm

Length measured using Ruler B=1.18 dm

Step by Step Explanation:

I have added the missing photograph which shows the length of pencil being measured with two rulers.

Ruler A has marking separated by 1 dm

Ruler B has marking separated by 0.1 dm

Length measured using Ruler A= 1.17 dm

(As we can see I have added the middle markers, we can see the tip of pencil is somewhere between 1 and 1.25, it is more than 1.125 but lesser than 1.25, it is somewhere around 1.2 and 1.125 dm, approximately equal to one half of 1.25 which is 1.125 with addition of one of the three halves of half of 1.125 which is 1.125+0.045 dm hence 1.17dm)

Length measured using Ruler B=1.18 dm

(we can see the tip of pencil is just before 1.2 dm, it is clear that the value is precisely 1.18 and not 1.19 dm)

<u><em>Tip:Always measure one more decimal than given by the ruler when unsure about the exact value</em></u>

6 0
3 years ago
If Joan read 75 pages in 4 hours how long will it take her to read 250 pages
denis23 [38]
75/4=25 pages per hour, so, now we have to divide 250 by 25.

250/25=10

So, it would take Joan 10 hours to read 250 pages. :)
6 0
3 years ago
Read 2 more answers
If 3t - 7 = 5t, then 6t = <br> A. 21 <br> B. -7 <br> C. -21<br> D. -42
podryga [215]

Answer:

C. -21 is your answer

Step-by-step explanation:

Solve for t. Isolate the variable t in the first equation, then use the number gotten to solve the second equation.

3t - 7 = 5t

First, subtract 3t from both sides

3t (-3t) - 7 = 5t (-3t)

-7 = 5t - 3t

-7 = 2t

Isolate the variable (t). Divide 2 from both sides

(-7)/2 = (2t)/2

t = -7/2

t = -3.5

Plug in -3.5 for t in the second equation

6(t) =

6(-3.5) =

6(-3.5) = -21

C. -21 is your answer

~

6 0
3 years ago
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