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horsena [70]
3 years ago
15

Solve the equation 4(3y-1)-3(2y)=6​

Mathematics
1 answer:
olga nikolaevna [1]3 years ago
6 0

Answer:

4(3y - 1) - 3(2y) = 6

Remove backets

12y - 4 - 6y = 6

Group and Evaluate like terms

12y - 6y = 6 + 4

6y = 10

y = 10 \div 6

y = 1.67

y =  \frac{5}{3}

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Solve. x 2 −5x−8=0 x2−5x−8=0 Enter your answers, as exact values, in the boxes. x = or x =
Sidana [21]

Answer:

x2-5x-8=0  

Step-by-step explanation:

Two solutions were found :

x =(5-√57)/2=-1.275

x =(5+√57)/2= 6.275

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "x2"   was replaced by   "x^2".  

Step by step solution :

Step  1  :

Trying to factor by splitting the middle term

1.1     Factoring  x2-5x-8  

The first term is,  x2  its coefficient is  1 .

The middle term is,  -5x  its coefficient is  -5 .

The last term, "the constant", is  -8  

Step-1 : Multiply the coefficient of the first term by the constant   1 • -8 = -8  

Step-2 : Find two factors of  -8  whose sum equals the coefficient of the middle term, which is   -5 .

    -8 + 1 = -7  

    -4+  2 = -2  

    -2+  4 = 2  

    -1 +   8 = 7  

5 0
3 years ago
Read 2 more answers
Express 0.77230.77230, point, 7723 as a fraction
cricket20 [7]

Answer:

7723/10000

Step-by-step explanation:

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3 years ago
Carlos has been given a list of 5 bands and asked to place a vote. His vote must have the names of his favorite, second favorite
Alex_Xolod [135]

Answer:

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Step-by-step explanation:


8 0
3 years ago
Iv)<br>6x+3y=6xy<br>2x + 4y= 5xy​
Margaret [11]

Answer:

Ok, we have a system of equations:

6*x + 3*y = 6*x*y

2*x + 4*y = 5*x*y

First, we want to isolate one of the variables,

As we have almost the same expression (x*y) in the right side of both equations, we can see the quotient between the two equations:

(6*x + 3*y)/(2*x + 4*y) = 6/5

now we isolate one off the variables:

6*x + 3*y = (6/5)*(2*x + 4*y) =  (12/5)*x + (24/5)*y

x*(6 - 12/5) = y*(24/5  - 3)

x = y*(24/5 - 3)/(6 - 12/5) = 0.5*y

Now we can replace it in the first equation:

6*x + 3*y = 6*x*y

6*(0.5*y) + 3*y = 6*(0.5*y)*y

3*y + 3*y = 3*y^2

3*y^2 - 6*y = 0

Now we can find the solutions of that quadratic equation as:

y = \frac{6 +- \sqrt{(-6)^2 - 4*3*0} }{2*3} = \frac{6 +- 6}{6}

So we have two solutions

y = 0

y = 2.

Suppose that we select the solution y = 0

Then, using one of the equations we can find the value of x:

2*x + 4*0 = 5*x*0

2*x = 0

x = 0

(0, 0) is a solution

if we select the other solution, y = 2.

2*x + 4*2 = 5*x*2

2*x + 8 = 10*x

8 = (10 - 2)*x = 8x

x = 1.

(1, 2) is other solution

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3 years ago
Henry measured a line to be 7.8 inches long. If the actual length of the line is 7.4 inches, then what was the percent error of
Margarita [4]
The percent error of the measurement is 5.4%
3 0
2 years ago
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