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3 years ago

Solve the following by factoring. 12x^2 -7x -12 = 0

Mathematics

1 answer:

nirvana33 [79]3 years ago

7 0

Solution:

The given equation is

$12x^2 -7x -12 = 0$

Now we will factor the middle term as per the ac-method because the given equation is a quadratic equation.

$12x^2 -7x -12 = 0\\\\12x^2-16x+9x-12=0\\\\4x(3x-4)+3(3x-4)=0\\\\(3x-4)(4x+3)=0\\\\3x-4=0,or, 4x+3=0\\\\x=\frac{4}{3},x=\frac{-3}{4}\\$

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Evaluate (m4 + 5) – n (m+ + 5) – n3 if m = -2 and n = -4.

Y_Kistochka [10]

Answer:

Step-by-step explanation:

7 0

3 years ago

PLEASE HELP!!!!!!!!!!!!!!

ohaa [14]

In a circle, the arc is two times the length of the angle.

EFG = 98°

98 x 2 = 196

Minor arc EG = 196°

Hopefully this helps :)

3 0

2 years ago

Select all the common denominators for

Vitek1552 [10]

Answer:

B, E

Step-by-step explanation:

There are a few ways to check for common denominator.

Here is one method

Take the 4 and 10 and see if both numbers will go into the numbers evenly. If they do, it is a common denominator

Will 4 and 10 divide evenly into 10 ?

4 will not go into 10 evenly

10 is not a common denominator.

Will 4 and 10 divide evenly into 20?

4 will go into 20 evenly. 20 /4 = 5

10 will go into 20 evenly 20 / 10 = 2

So 20 is a common denominator

Will 4 and 10 divide evenly into 24?

4 will go into 24 evenly 24 / 4 = 6

10 will not go into 24 evenly

24 is not a common denominator

Will 4 and 10 divide evenly into 32?

4 will go into 32 evenly 32 / 4 = 8

10 will not go into 32 evenly

32 is not a common denominator

Will 4 and 10 divide evenly into 40?

4 will go into 40 evenly 40/4 = 10

10 will go into 40 evenly 40 / 10 = 4

40 is a common denominator

3 0

2 years ago

Can y’all help me on question 14?!

ExtremeBDS [4]

Answer:

The answer is 3.2

Step-by-step explanation:

4 0

2 years ago

Please, help thanks! I would like an explanation how to do it too, IF you dont mind.

Aneli [31]

Answer:

Phoebe has £180, Andy has £60, and Polly has £30.

Step-by-step explanation:

Ok, to start of let's establish some variables! We'll give Phoebe the variable "p", Andy the variable "a", and Polly the variable "o". By giving each person a variable we can create an equation and solve for it!

So, what do we know?

Well we know the following information...

p + a + o = 270

(Phoebe + Andy + Polly = £270)

p = 3a

(Phoebe = 3 times more than Andy)

a = 2o

(Andy = 2 times more than Polly)

To be able to solve this equation we have to solve for just one variable first.The only one we can use is "o" for Polly!

3(2o) + 2o + o = 270

6o + 2o + o = 270 (Distribute 3 to get like terms)

9o = 270 (Combine like terms [6+2+1])

o = 30 (Divide by 9 on both sides to get "o" by itself)

Now that we have how much Polly has, we have to solve for Andy and Phoebe. (To do this we will input our value, 30, where our variable is "o")

Andy

a = 2(30) (Input term)

a = 60 (Multiply by 2 to get final answer)

(Since we now know what Andy has we can input 60 into our "a" variable to solve for Phoebe)

Phoebe

p = 3(60) (Input term)

p = 180 (Multiply by 3 to get final answer)

Now! Just to check we are going to input our variables into our original equation to be sure we have the right variables.

p + a + o = 270

180 + 60 + 30 = 270!!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

4 0

2 years ago