Solve and SHOW YOUR WORK for the equation 3(4x – 2) = 9 + 2x + 5

Answers

Answer 1

Answer: remember
you can do anyting to an equaiton as long as you do it to both sidess

distributive property
a(b+c)=ab+ac
commutativ property
a+b=b+a

distribute
3(4x-2)=12x-6

12x-6=9+2x+5
add 6 both sides
12x+6-6=9+6+5+2x
12x+0=20+2x
minus 2x
10x=20
divide 10
x=2

Answer 2

Answer: I wrote how to do it on paper and uploaded the files. Hope this helps. :D

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How do i solve log6(25)-log6(5)

Answers

There's nothing there to solve. But you can simplify the expression.

-- The difference of two logs is the log of the quotient.

log₆(25) - log₆(5)

= log₆(25/5) = log₆(5) .

That may be all you can do with it.
If they want you to go ahead and actually find the value of log₆(5) ...
I don't remember how to do that. If it was log₁₀(5) or ln(5) ,
those would be easy, because they're right on your calculator.
But the log to the base of (anything else other than 10 or 'e') takes
an additional step, which I don't remember.

Which choice is the appropriate simplified form and restriction for the variable? 3x^2+9x over x^2-2x-15

Answers

If you would like to know what is the appropriate simplified form and restriction for the variable, you can calculate this using the following steps:

(3x^2 + 9x) / ( x^2 - 2x - 15) = (3x * (x + 3)) / ((x - 5) * (x + 3)) = 3x / (x - 5)

The simplified form is 3x / (x - 5) and the restriction for the variable would be x ≠ 5 and x ≠ -3.

(3x^2 + 9x) / ( x^2 -2x -15)

Factor both polynomials

(3x)(x+3) / (x-5)(x+3) = 3x/(x+5)

The simplified form is 3x/(x+5)

The restriction for the variable is x ≠ -3 (this is because you can only simplify the factor x-3 if its value is not zero).

Select the correct answer from the drop-down menu.Consider the absolute value function /x)=-+2-2.
The vertex of the function is
Reset
Next

Answers

Answer:

(-2, -2)

Step-by-step explanation:

Compare the two functions ...

f(x) = -|x +2| -2

f(x) = a·g(x -h) +k

where f(x) is a translation and scaling of function g(x). Here, you have ...

g(x) = |x|

The scale factor is a = -1.

The horizontal shift is h = -2.

The vertical shift is k = -2.

_____

The original vertex at (0, 0) has been shifted by (h, k) to ...

(0, 0) + (h, k) = (0, 0) + (-2, -2) = (-2, -2).

Answer:

(-2,-2)

Step-by-step explanation:

I took a test and got it right

5/13t=-9 how to solve

Answers

Well, first, we need to get rid of that fraction by multiplying the whole equation by 13 to cancel out the fraction.
13(5/13t=-9)
5t=-117
And now, we have to divide the whole equation by 5 to get the t by itself.
(5t=-117)/5
t=-117/5
Hope it Helps! :)

What two numbers add to negative 9 but multiply to 24

Answers

There aren't any numbers that add to 24 but multiply to 9. But you can still factorise - remember, you only need to get numbers that add up to the middle number if the coefficient of y^2 is 1. That means if you just have y^2, not 2y^2 or 3y^2 or 16y^2 like we do here.

16y^2+24y+9 = (4y+3)^2

Which of the following statements is true

Answers

The correct statement regarding the operations with polynomials is given as follows:

C. (10x³ + 2x² - 11) + 9x² + 2x - 2 = 10x³ + 11x² + 2x - 13.

What are like terms?

Like terms are terms that share these two features:

Same letters. (algebraic variables).

Same exponents.

If two terms are like terms, then they can be either added or subtracted, that is, we can use them to simplify a polynomial.

Hence the polynomial that is correctly simplified in this problem is given as follows:

(10x³ + 2x² - 11) + 9x² + 2x - 2 = 10x³ + 2x² + 9x² + 2x - 11 - 3 = 10x³ + 11x² + 2x - 13.

Meaning that option C is the correct option in the context of this problem.

More can be learned about like terms at brainly.com/question/17471184

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