All categories

3 years ago

4x + 5x + 12 = 6(x-2) Math

Mathematics

1 answer:

Rashid [163]3 years ago

4 0

Hi there! :)

$\large\boxed{x = -8}$

4x + 5x + 12 = 6(x - 2)

Combine like terms and distribute the coefficient outside of the parenthesis:

9x + 12 = 6(x) + 6(-2)

9x + 12 = 6x - 12

Subtract 6x from both sides:

9x - 6x + 12 = 6x - 6x - 12

3x + 12 = -12

Subtract 12 from both sides:

3x + 12 - 12 = -12 - 12

3x = -24

Divide both sides by 3:

3x/3 = -24/3

x = -8.

You might be interested in

Which of the following is a polynomial with roots: − square root of 5 , square root of 5 , and −3?

tresset_1 [31]

Roots: - √5 , √5, and - 3

=> these are factors of the polynomial: (x + √5), (x - √5), and (x + 3).

Multiply those three factors:

(x + √5) (x - √5) ( x + 3) = [x^2 - 5] ( x + 3 ) = x^2 + 3x^2 - 5x - 15

Therefore the polynomial x^2 + 3x^2 - 5x - 15 is a polynomial with the given roots.

Answer: option B. x^3 + 3x^2 - 5x - 15

4 0

3 years ago

What is the log 5x=log (2x+9)

Ray Of Light [21]

5x = 2x + 9, where 5x > 0 and 2x + 9 > 0 ;
Then, 3x = 9 ;
Then, x = 3 ;
Verify : 5 × 3 = 2 × 3 + 9 ;correct !
5 × 3 > 0 ; correct !
2 × 3 + 9 > 0; correct !

8 0

3 years ago

Solve the system of equations by graphing. x+y=-7, 2x+y=6

kiruha [24]

Step-by-step explanation:

I hope this is right, I used demos

8 0

2 years ago

Read 2 more answers

Use spherical coordinates to find the limit. [Hint: Let x = rho sin(ϕ) cos(θ), y = rho sin(ϕ) sin(θ), and z = rho cos(ϕ), and no

shutvik [7]

Answer:

lim (x, y, z) → (0, 0, 0) [x*y*z]/(x^2+y^2+z^2)=0

Step-by-step explanation:

First, we need to put the spherical coordinates equations that we will use in our problem

x = p*sin∅cos Ф

y = p*sin∅sinФ

z=p*cos∅

Then we will state the problem

lim (x, y, z) → (0, 0, 0) [x*y*z]/(x^2+y^2+z^2)

Using the spherical coordinates we get

(x^2+y^2+z^2) = p^2

Which will make our limit be

lim p→0+ [p*sin∅cos Ф*p*sin∅sinФ *p*cos∅]/(x^2+y^2+z^2)

after solving limit:

lim (x, y, z) → (0, 0, 0) [x*y*z]/(x^2+y^2+z^2)=0

4 0

2 years ago

*If you add two integers with different signs, how can you tell whether the sum will be positive, negative, or zero?

irina [24]

Answer:

Please see explanation

Step-by-step explanation:

When two integers are being added there can be three cases in the answer

Positive

The sum will be positive if both the integers are positive and in case of addition of one positive and negative integer, the sum will be positive if the integer with larger magnitude is positive

Negative

The sum will be negative if both integers are negative and in case of addition of one positive and negative integer, the sum will be negative if the integer with larger magnitude is negative

Zero

The sum will be zero if both the integers have same magnitude and different signs.

7 0

2 years ago