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olchik [2.2K]
4 years ago
14

3x-3/x^2+6x-27 - 2x-12/x^2=6x-27

Mathematics
1 answer:
avanturin [10]4 years ago
6 0

One solution was found :

x = ∛15 = 2.466

Step by step solution :

Step 1 :

12÷x2

Equation at the end of step 1 :

3 12

(((((3x-————)+6x)-27)-2x)-——)-(6x-27) = 0

(x2) x2

Step 2 :

3÷ x2

Equation at the end of step 2 :

3 12

(((((3x-——)+6x)-27)-2x)-——)-(6x-27) = 0

x2 x2

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Which two ratios form a proportion?
faust18 [17]

Answer:  

C.) 6:9 and 2:3

It would be C because 6 divided by 3 is 2 and 9 divided by 3 is 3 so it would be  6:9=2:3

7 0
3 years ago
Read 2 more answers
Samuel is a teacher and takes home 75 papers to grade over the weekend. He can grade at a rate of 7 papers per hour. How many pa
Alina [70]

Answer: 19

Step-by-step explanation:

75 papers need to be marked

He grades 7 papers per hour

To find out how many paper he graded in 8 hours:

7 x 8

(7 is the number of papers graded in an hour)

(8 is the number of hours)

7 x 8 = 56

(56 is the number of papers he graded in 8 hours)

Now, there was a total of 75.

To find the remaining number of test sheets:

75 - 56

(75 is the total number of papers)

(56 is the number of papers graded)

75 - 56 = 19

Therefore, there are 19 papers remaining to grade.

7 0
3 years ago
Solve for x <br><br> log(7x+1) = log(x-2) + 1
myrzilka [38]
Log(7x+1) - log(x-2) =1

log[(7x+1) / (x-2)] =1 or log[(7x+1) / (x-2)] =log10 (log10=1)

it means (7x+1) / (x-2) =10

Solving ===> x=7
5 0
4 years ago
The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the r
zhenek [66]

Answer:

  • The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

\\  { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length  × width}}}}}} \\ \\

Substituting values in above formula:

\\ \dashrightarrow \sf \: \:  (3 + 2x)(x)  = 54  \\

\dashrightarrow \sf \: \: 3x +  2x^2 = 54 \\

\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\

\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\

\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\:

\dashrightarrow \sf \: \: 2x(x + 6)  -9(x + 6) = 0\\

\dashrightarrow \sf \: \: (2x -9)(x+6) = 0  \\

\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}}

\dashrightarrow  \:  \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}

Hence,

  • Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 m
  • Width of the rectangle = x = 4.5m

\\ { \underline{  \pmb{ \frak{ \therefore Length \:  and \:  width  \: of  \: the  \: rectangle  \: is \:12 \: m \: and \:  4.5 \: m}}}} \\

5 0
2 years ago
Read 2 more answers
Please help!!!!!!!!!!!¡
Daniel [21]
Your answer would be ( -12/5 x + 2 )
6 0
3 years ago
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