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3 years ago

Solve the inequality for x. 12x >9(2x-3)-15 show each step to the solution

Mathematics

2 answers:

monitta3 years ago

7 0

12x >9(2x-3)-15

distribute

12x> 18x-27-15

combine like terms

12x>18x -42

subtract 18x from each side

12x -18x >18x-18x-42

-6x>-42

divide by -6 which will flip the inequality

-6x/-6<-42/-6

x<7

Tasya [4]3 years ago

6 0

$12x > 9(2x-3)-15\qquad|\text{use distributive property}\\\\12x > (9)(2x)+(9)(-3)-15\\\\12x > 18x-27-15\qquad|\text{subtract 18x from both sides}\\\\-6x > -42\qquad|\text{change the signs}\\\\6x < 42\qquad|\text{divide both sides by 6}\\\\x < 7$

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What is -3(2 - x)= 9x <br><br>I really need help on this one.

PolarNik [594]

X=-1

Reason
-3(2-x)=9x
Distributive Property
-6+3x=9x
Subtract 3x on both sides
-6=6x
Divide by 6 on both sides
-1=x

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3 years ago

Please help i’ll mark u brainliest

Likurg_2 [28]

Answer:

there is a lot of solutions here is some guidance. so if there are more then 4 and less then 10 then every solution should equal 5, 6, 7,8, and 9. also it says the number of pencils is more then the number of pens so for example if it was to equal 9 i would put 5 + 4 . 5 is the number of pencils, 4 is the number of pens or i could put 6 + 3 so any numbers that equal to what i said; 5, 6, 7,8, and 9. good luck!

Step-by-step explanation:

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3 years ago

The product of two integers is 112. One number is four more than three times the other. Which of the following equations could b

shepuryov [24]

Answer:

The equations could be used to find one of the numbers is, $3a^2 + 4a =112$

Step-by-step explanation

Let two integers be a and b.

As per the given statement:

The product of two integers is 112.

⇒ $ab =112$ ......[1]

Also, One number is 4 more than three times the other.

⇒b = 3a +4 ......[2]

Now substitute equation [1] in [2] we get

$a(3a+4) =112$

Using distributive property i.e, $a \cdot (b+c) = a\cdot b + a\cdot c$

$(a)(3a)+ 4a = 112$

Simplify:

$3a^2 + 4a =112$

therefore, the equation that could be used to find one of the numbers is;

$3a^2 + 4a =112$

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3 years ago

What is the value of n?<br> 7.8x10^6=(3x10^4) (2.6x10^n<br> The value of n is...

Vsevolod [243]

Answer:

n = log( $\frac{100}{x^2}$ )

Step-by-step explanation:

Take the logarithm of both sides of the equation to remove the variable from the exponent.

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3 years ago

Help on this question

Lostsunrise [7]

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3 years ago