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anygoal [31]
3 years ago
8

How can you cancel out the 5y and 7y from: 4x^2 over 5y times 7y over 12x^4

Mathematics
2 answers:
Juliette [100K]3 years ago
8 0

Answer:

  7

 ————

 15x2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (4 • (x2))      7y  

 —————————— • ————————

     5y       (22•3x4)

Step  2  :

              7y  

Simplify   ————————

           (22•3x4)

Equation at the end of step  2  :

 (4 • (x2))    7y

 —————————— • ————

     5y       12x4

Step  3  :

Equation at the end of step  3  :

 22x2    7y

 ———— • ————

  5y    12x4

Step  4  :

           22x2

Simplify   ————

            5y

Equation at the end of step  4  :

 4x2    7y

 ——— • ————

 5y    12x4

Step  5  :

Dividing exponential expressions :

5.1    x2 divided by x4 = x(2 - 4) = x(-2) = 1/x2

Canceling Out :

5.2    Canceling out y as it appears on both sides of the fraction line

Final result :

   7

 ————

 15x2

Step-by-step explanation:

PtichkaEL [24]3 years ago
5 0
4x^2/5y * 7y/12x^4
7/15x^2
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The function f(x) = { x + 1 is used to complete this Which statements are true of the given function? Check all that apply. tabl
Dmitry [639]

Answer:

Options (1) and (5)

Step-by-step explanation:

Expression that defines the function is,

f(x)=\frac{1}{2}x+\frac{3}{2}

Option 1

f(-\frac{1}{2})=\frac{1}{2}(-\frac{1}{2})+\frac{3}{2}

          =-\frac{1}{4}+\frac{3}{2}

          =-\frac{1}{4}+1+\frac{1}{2}

          =1+\frac{1}{4}

          =1\frac{1}{4}

So, f(-\frac{1}{2} )=-2 is false.

Option 2

f(0) = \frac{1}{2}(0)+\frac{3}{2}

     = \frac{3}{2}

True.

Option 3

f(1) = \frac{1}{2}(1)+\frac{3}{2}

    = \frac{3+1}{2}

    = 2

Therefore, f(1) = -1 is false.

Option 4

f(2)=\frac{1}{2}(2)+\frac{3}{2}

       =1+1+\frac{1}{2}

       =2\frac{1}{2}

Therefore, f(2) = 1 is false.

Option 5

f(4) =\frac{1}{2}(4)+\frac{3}{2}

     =2+\frac{3}{2}

     =\frac{4+3}{2}

     =\frac{7}{2}

True.

Options (1) and (5) are the correct options.

5 0
3 years ago
What is x equal to in this equation 5x-20<-5
kari74 [83]

The solution to given inequality is:

x<3

Step-by-step explanation:

We have to solve the given inequality to get the value of x

Given inequality is:

5x-20

Adding 20 on both sides

5x-20+20

Dividing both sides by 5

\frac{5x}{5}

The solution to given inequality is:

x<3

x will be equal to all values less than 3

Keywords: Inequality

Learn more about inequality at:

  • brainly.com/question/9532142
  • brainly.com/question/9590016

#LearnwithBrainly

5 0
3 years ago
You have $60 and your sister has $120. You are saving $14 per week and your sister is saving $10 per week. How long will it be b
tigry1 [53]

Answer:

15 weeks

The amount of money is  270

Step-by-step explanation:

You: 60 +14x

Sister: 120+10x

Set them equal to each other

60+14x = 120+10x

Subtract 10x from each side

60+4x= 120

Subtract 60 from each side

4x= 60

Divide by 4

4x/4 = 60/4

x = 15

15 weeks

The amount of money is 120+10*15 = 120+150 = 270

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46.06 would be the answer

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