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Rainbow [258]
3 years ago
10

What is the value of n. 6(x – 1) = 9(x + 2)

Mathematics
2 answers:
Oduvanchick [21]3 years ago
8 0

Answer:

x=−8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*(x-1)-(9*(x+2))=0

(6 • (x - 1)) -  9 • (x + 2)  = 0

6 • (x - 1) -  9 • (x + 2)  = 0

Pull out like factors :

-3x - 24  =   -3 • (x + 8)

-3 • (x + 8)  = 0

Solve :    -3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solve  :    x+8 = 0

Subtract  8  from both sides of the equation :

  x = -8

diamong [38]3 years ago
6 0

6(x-1) = 9(x+2)

Use distributive property on both sides:

6x-6 = 9x + 18

Subtract 6x from both sides:

-6 = 3x + 18

Subtract 18 from both sides:

-24 = 3x

Divide both sides by 3:

X = -8

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Solve the equation by factoring: x2 − 7x + 12 = 0
Gnoma [55]

Answer:

x = 3 . . . or . . . x = 4

Step-by-step explanation:

The factored form is ...

(x -3)(x -4) = 0

The zero product rule tells you the solutions are the values of x that make the factors be zero:

x = 3

x = 4

_____

Comment on factoring

When the leading coefficient is 1, the coefficient of the x-term is the sum of the constants in the binomial factors, and the constant term is their product. You can see this by multiplying out the generic case:

(x +a)(x +b) = x^2 +(a+b)x + ab

What this means is that when you're factoring, you're looking for factors of the constant that add up to give the coefficient of the x-term. Here, the x-term is negative and the constant is positive, so both factors will be negative.

12 = -1×-12 = -2×-6 = -3×-4

The sums of these factor pairs are -13, -8, -7. Clearly, the last pair of factors of 12 will be useful to us, since that sum is -7. So, the binomial factors of our equation are ...

(x -3)(x -4) = 0

___

If the leading coefficient is not zero, the method of factoring is similar, but slightly different. Numerous videos and web sites discuss the method(s).

7 0
3 years ago
Claire said that 10/15 of her CDs are country music. Which statement could be true based upon this relationship?
never [62]

Answer:

C. Claire has 10 country CDs and 5 Jazz CDs

Step-by-step explanation:

\dfrac{10}{15} means that 10 out of 15. So we can assume that in total she has 15 CDs and 10 of them are Country and the other is Jazz.

This would rule out choice D.

If we reduce this fraction then we would have:

\dfrac{10}{15} = \dfrac{2}{3}

This means that two-thirds of her CDs are country music. So this would rule out A and B choices.

Now C is correct because 10 country plus 5 Jazz is equal to 15 CDs. So we have the correct total.

The answer is C.

7 0
3 years ago
Read 2 more answers
Greatest to least 0.12,0.1225,3/25,7/125
nadezda [96]
.1225,.12, 7/125  the other fraction equals .12
3 0
3 years ago
Read 2 more answers
What is the greatest to least -1, 3/2, 2.5, 0, -1/2, 2, 0.2
zlopas [31]

Answer: 2.5, 2, 3/2, 0.2, 0, -1/2, -1

Step-by-step explanation:

From left to right biggest number

5 0
3 years ago
Can you help me plz
Gelneren [198K]

i think the answer would be C

4 0
3 years ago
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