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grandymaker [24]
3 years ago
11

Rocky simplified an expression in three steps, as shown below: x to the power of negative 5 multiplied by y to the power of 2, o

ver y multiplied by x to the power of 3 multiplied by x to the power of 3 multiplied by y to the power of negative 5, the whole to the power of 2 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of 2 multiplied by x to the power of 6 multiplied by x to the power of 6 multiplied by y to the power of negative 10 equals x to the power of negative 10 multiplied by y to the power of 4, over y to the power of negative 8 multiplied by x to the power of 12 equals x to the power of 2 times y to the power of negative 4. Which is the first incorrect step and why? Step 1: all the exponents are increased by 2 Step 1: all the exponents are multiplied by 2 Step 2: the exponents in the denominator are added during multiplication Step 3: the exponents of the same base are added during division
Mathematics
1 answer:
maria [59]3 years ago
7 0

Answer:

Step 3 is wrong

Step-by-step explanation:

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4 years ago
Factor 4x 2 + 12x + 5 . (2x + 5)(2x + 1)
swat32
4x^2 + 12x + 5=4x^2+2x+10x+5 \\  \\ =2x(2x+1)+5(2x+1)=(2x+5)(2x+1) \\  \\ \therefore4x^2+12x+5=(2x+5)(2x+1)
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3 years ago
Tatami mats are used as a floor covering in japan. One possible layout uses four identical rectangular mats and one square mat,
Maksim231197 [3]

a) Given

Total area = 81 feet squared.

 Let the area of the square mat = x feet.

From question, area of the rectangular mat is twice that of square mat.

 So, the area of the rectangular mat = 2 x feet.

Now,

Total area = 81 feet squared

Then,

      4(2 x) + x = 81\\ \\ 9 x = 81\\ \\  x = \frac{81}{9}\\ \\ x = 9\\

Hence  the area of the one rectangular mat = 2*9 = 18 feet squared

b) Let the width of the rectangular mat = y feet.

  Then length of the mat = 2 y feet.

   Area of the rectangle = 2 y* y = 2 y^{2}

   and area of rectangle = 18 feet squared.

   So,

 2 y^{2} = 18\\ y^{2} = 9\\ y= \pm3\\

Width can not be negative.

Hence, the width of the rectangular mat = 3 feet

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8 0
3 years ago
Simplify by dividing <br> 3/5 ÷ -4/9<br><br> 1. -27/20<br> 2. 27/20<br> 3. -12/45<br> 4. 12/45
kramer

Answer:

The answer to your question is -27/20

Step-by-step explanation:

Divide         3/5  ÷  - 4/9

Process

1.- Just multiply the numerator of the first fraction by the denominator of the second fraction.                                      

                    3 x - 9 = -27

2.- Multiply the denominator of the first fraction by the numerator of the second fraction.

                    5 x 4 = 20

3.- Join both results

                               -27/20

5 0
3 years ago
Kurt johnson delivers packages for a delivery company. he receives $7.50 for every package delivered. what does kurt earn in a w
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Y = 7.50x.....y = earnings per week , x = number of packages delivered

48 packages.....so x = 48
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8 0
3 years ago
Read 2 more answers
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