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AlexFokin [52]
3 years ago
10

Solve for x. 5(x−3)= 3(x−2)

Mathematics
1 answer:
kirza4 [7]3 years ago
3 0

Answer:

x = 9/2   or   x= 4.5

Step-by-step explanation:

you factor out the equation:

5x-15=3x-6

+15          +15

5x=3x+9

-3x     -3x

2x=9

x=9/2  or 4.5

You might be interested in
Which of the following tables shows the correct steps to transform x^2+6x + 8=0
Vlad1618 [11]
Perhaps the most concise way to factor is by "completing the square" which is how the quadratic formula is derived...

x^2+6x+8=0  move constant to other side, subtract 8 from both sides

x^2+6x=-8, halve the linear coefficient, square it, then add that to both sides, in this case (6/2)^2=3^2=9

x^2+6x+9=1  now the left side is a perfect square of the form

(x+3)^2=1  take the square root of both sides

x+3=±√1  subtract 3 from both sides

x=-3±√1

x=-3±1

x=-4 and -2

Since the zeros occur when x=-4 and -2 the factors of the equation are:

(x+2)(x+4)
7 0
3 years ago
Chip earns a base salary of 500 per month as a Salesman in addition to the salary earns 90 per product that he sells if his goal
Lerok [7]

Answer:idk

Step-by-step explanation:

6 0
3 years ago
What is the value of 0
Anestetic [448]

Answer:

The number 0 is the smallest non-negative integer. The natural number following 0 is 1 and no natural number precedes 0. The number 0 may or may not be considered a natural number, but it is an integer, and hence a rational number and a real number (as well as an algebraic number and a complex number).

Cardinal: 0, zero, "oh" (/oʊ/), nought, naught, nil

Binary: 0

               2

Hexadecimal: 0

                          16

Step-by-step explanation:

5 0
3 years ago
The area of a rectangle is 70 m², and the length of the rectangle is 11 m less than three times the width. Find the dimensions o
11111nata11111 [884]

Step-by-step explanation:

the area of a rectangle is

length × width

in our case

length × width = 70 m²

length = 3×width - 11

we can use this second equation in the first and get

(3×width - 11) × width = 70

3×width² - 11×width - 70 = 0

the general solution to a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 3

b = -11

c = -70

x = (11 ± sqrt((-11)² - 4×3×-70))/(2×3) =

= (11 ± sqrt(121 + 840))/6 =

= (11 ± sqrt(961))/6

x1 = (11 + 31)/6 = 42/6 = 7

x2 = (11 - 31)/6 = -20/6 = -10/3

the negative solution is not applicable for a length in an object.

so, only x1 = 7 m is our solution.

the width of the rectangle is 7 m.

the length = 3×width - 11 = 3×7 - 11 = 21-11 = 10 m

7 0
2 years ago
Solve the equation y = 200 - 5(x + 37) for x if y = 360.
julsineya [31]

Answer:

x= -35.153846

Step-by-step explanation:

360=200-5(x+37)

360=195(x+37)

360=195x+7215

360-7215=195x+7215-7215

-6855=195x

-6855/195=195x/195

-35.1538461538=x

-35.153846=x

I THINK ;]

7 0
3 years ago
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