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Blababa [14]
3 years ago
8

The length of a rectangle is 3 less than 5 times the width, w. Find the perimeter of the rectangle

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0

Answer:

P = 12x -6

Step-by-step explanation:

L = 5x - 3

W = x

P = 2(L + W)

P = 2(5x -3 + x)

P = 2(6x -3)

P = 12x -6

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The area of a rectangle is 14 m2 , and the length of the rectangle is 3 m less than double the width. find the dimensions of the
muminat
Width =3.5, length = 4

Let's make a few equations to summarize what we know.:
a = 14
l = 2w -3
a = wl

Now let's substitute the expression for l into the expression for area and solve.
a = w(2w - 3)
a = 2w^2 - 3w
14 = 2w^2 - 3w

0 = 2w^2 - 3w - 14

which factors into
(2w - 7) (w + 2)

Solving for w
2w - 7 = 0
2w = 7
w = 3.5

w+2 = 0
w = -2

So w can be either 3.5 or -2. Since a negative width doesn't make sense, w = 3.5

Let's verify
w = 3.5
l = 2w - 3
l = 2*3.5 - 3
l = 7 - 3
l = 4
a = wl
a = 3.5 * 4
a = 14

So the width is 3.5 and the length is 4.

3 0
3 years ago
A farmer estimates that he has 9,000 bees producing honey on his farm. The farmer becomes concerned when he realizes the populat
djverab [1.8K]

Answer:

  • The function f(x) = 9,000(0.95)^x represents the situation.
  • After 2 years, the farmer can estimate that there will be about 8,120 bees remaining.
  • The range values, in the context of the situation, are limited to whole number

Step-by-step explanation:

The "growth" rate is -5%, so the growth factor, the base in the exponential equation, is 1.00-5% =0.95.

Using x=2, we find the population in 2 years is expected to be about ...

  f(2) = 9000·0.95^2 ≈ 8123 . . . . about 8120

Using x=4, we find the population in 4 years is expected to be about ...

  f(4) = 9000·0.95^4 ≈ 7331 . . . . about 7330

Since population is whole numbers of bees, the range of the function is limited to whole numbers.

The domain of the function is numbers of years. Years can be divided into fractions as small as you want, so the domain is not limited to whole numbers.

The choices listed above are applicable to the situation described.

7 0
3 years ago
What is 1/3 of 675 is left
Tom [10]
1/3 of 675 is 225
I hope that helps
5 0
3 years ago
Cual es resultado de 8.5 × 10^4 - 3.0 × 10^3
Veronika [31]
Simplify 10^4 to 10000

8.5x10000-3.0x10^3

Simplify 8.5x*10000 to 85000x
85000x-3.0*10^3
Simplify 3.0x10^3 to 3*10^3
Answer 85000x-3*10^3
5 0
3 years ago
Mr. green has a garden. Of the 40 seeds he planted, 35% were vegetable seeds. How many vegetable seeds did he plant​
Lelechka [254]

Answer:

14

Step-by-step explanation:

35% of 40 is 14

8 0
2 years ago
Read 2 more answers
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