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3 years ago

What is the greatest common factor of 60x4y7, 45x5y5, and 75x3y?

1 answer:

8 0

Factor and group common ones
60=2*2*3*5*x*x*x*x*y*y*y*y*y*y*y
45x^5^5=3*3*5*x*x*x*x*x*y*y*y*y*y
75x^3y=3*5*5*x*x*x*y

the commmon gropu to all is 3*5*x*x*x*y=15x^3y

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Simplify the expression 3x(x – 12x) + 3x2 – 2(x – 2)2. Which statements are true about the process and simplified product? Check

Kisachek [45]

<h3>1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2). </h3><h3>TRUE </h3><h3>2. The simplified product is a binomial. TRUE</h3><h3>3. After multiplying, the like terms are combined by adding and subtracting.</h3><h3>TRUE </h3><h3>4. The parentheses are eliminated through multiplication. TRUE</h3><h3>5. The final simplified product is $-28x^2 + 8x - 8$ FALSE</h3>

Step-by-step explanation:

Here, the given expression is :

$F(x) = 3x(x- 12x) + 3x^2-2(x-2)^2$

Now, let us first solve the given expression step wise:

$F(x) = 3x(x-12x) +3x^2 -2(x-2)^2\\= 3x(-11x) +3x^2 -2(x^2 +4 -4x)\\= -33x^2 + 3x^2 -2x^2 -8+8x\\= -32x^2 +8x - 8\\\implies F(x) = -32x^2 +8x - 8$

Now, here the given statements are:

1. The term $-2(x-2)^2$ is simplified by first squaring the expression (x – 2).

TRUE

2. The simplified product is a binomial. TRUE

3. After multiplying, the like terms are combined by adding and subtracting.

TRUE

4. The parentheses are eliminated through multiplication. TRUE

5. The final simplified product is $-28x^2 + 8x - 8$ FALSE

As the simplified expression is: $(-32x^2 +8x -8)$

7 0

3 years ago

A sphere is inscribed in a cylinder. The surface area of the sphere and the lateral area of the cylinder are equal. true or fals

Volgvan

It is true that the surface area of the sphere and the lateral area of the cylinder are equal. The answer is True.

8 0

3 years ago

Read 2 more answers

several students were surveyed about their favorite class. the results are shown in the table. What fractionof the students chos

Anettt [7]

Answer:

art class / all classes = 16 / (26 + 19 + 21 + 16 + 32) = 16/114 = 8/57Step-by-step explanation:

7 0

3 years ago

The circumference of super eight is four times the conference at Circle B which statement about the areas of the circle is true

ICE Princess25 [194]

When you have factors in shapes you must remember:
circumference and perimeter are in one unit measures
area is in squared units
volume is in cubed units

So, when the circumference of A is 4 times that of C there is a factor of 4.
Since we need to know the area the factor 4 will change to a factor of 4² since area is a squared unit.

The solution is 4²=16, the are of circle A is sixteen times the area of circle B.

4 0

3 years ago

Lily took out a 5-year loan from the bank for $31,000 to purchase a new car. At the end of the loan, she had paid a total of $37

otez555 [7]

Answer:

=24.5%

Step-by-step explanation:

Simple interest = (principal×rate×time)÷100. *brackets first*
transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time)
plug in values: rate = (100×37975) ÷ (31000×5)
the result is 24.5%

8 0

3 years ago