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alekssr [168]
3 years ago
7

Factor completely 20x^2 y - 4xy Someone put steps for me when solving, thank you

Mathematics
2 answers:
zavuch27 [327]3 years ago
8 0

20x^2y - 4xy

First, we look at what terms are common between each term.

There is a 4 present in the last term, and 4 is a factor of 20, so that is one factor.

Each term also includes at least one x, and one y, so x and y are also factors.

We can factor a 4, an x, and a y out of this.

<h3><u>4xy(5x - 1) is the fully factored form of this binomial. </u></h3>
krok68 [10]3 years ago
3 0
20x^2 y - 4xy
y(20x^2 - 4x)
4y(5x^2 - x)
4xy(5x - 1)
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Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs.
AlladinOne [14]

9514 1404 393

Answer:

  A: x + y = 55; y - x = 25

  B: 15 minutes running

  C: no

Step-by-step explanation:

<h3>Part A:</h3>

The two equations relate to the total number of minutes, and to the difference specified in the problem statement.

  x + y = 55 . . . . . . total time is 55 minutes

  y = x + 25 . . . . . . dances 25 minutes longer

__

<h3>Part B:</h3>

We can substitute for y in the first equation to find the value of x, the time spent running.

  x + (x +25) = 55

  2x = 30 . . . . subtract 25

  x = 15 . . . . . . divide by 2

Jackie spends 15 minutes running each day.

__

<h3>Part C:</h3>

The value of y from is found using the second equation:

  y = x +25 = 15 +25 = 40

Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.

5 0
2 years ago
Two-Step Equations 2/5x−3=−17
Lina20 [59]

Answer:

x =-35

Step-by-step explanation:

2/5x−3=−17

Add 3 to each side

2/5x−3+3=−17+3

2/5x = -14

Multiply each side by 5/2

5/2 * 2/5x = -14 * 5/2

x = -35

3 0
3 years ago
Read 2 more answers
I dont know the answer to this question I dont know what I can put for the x and the y
harina [27]

Answer:

  (x, y) = (-4, 4)

Step-by-step explanation:

You find the values of x and y by working the problem using any of the methods of solving simultaneous equations that you have been taught.

Here, you observe that the y-coefficients are the same in each equation. That means you can cancel the y-terms by subtracting one equation from the other.

  (7x +6y) -(4x +6y) = (-4) -(8)

  3x = -12 . . . . simplify

  x = -4 . . . . . . divide by 3

Now, you can substitute this into either equation to find y.

 4(-4) +6y = 8

  6y = 24 . . . . . . . . add 16

  y = 4 . . . . . . . . divide by 6

The solution to this system of equation is ...

  • x = -4
  • y = 4
5 0
3 years ago
Read 2 more answers
Help me. Please help me.
tekilochka [14]

Answer:

x=10 y=35 adjacent: AFE; CFD; BFC;BFD; AFB

Step-by-step explanation:

6 0
2 years ago
A can of soda is placed inside a cooler. As the soda cools, its temperature T (x) in degrees celsius is givien by the following
wel

Answer:

Initial 18 degrees Celsius

After 20 minutes, 5 degrees Celsius

Step-by-step explanation:

It’s initial temperature can be calculated as at the time when x = 0

When x = 0, the temperature is -6+24 = 18 degrees Celsius

This is because the exponent part equals 1 since anything raised in to the power of zero is one.

After twenty minutes,

T(x) = -6 +24e^-0.038(20)

T(x) = -6 + 11.224 = 5.224

And that is approximately 5 degrees Celsius to the nearest degree

8 0
3 years ago
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