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lana66690 [7]
3 years ago
12

Simplify 3(2x+4y-2z)+7(x+y-4z)

Mathematics
1 answer:
Nostrana [21]3 years ago
5 0

3(2x + 4y - 2z) + 7(x + y - 4z)
Remove parenthesis.
Distribute 3 and 7 through the parenthesis

= 6x + 12y - 6z + 7x + 7y - 28z
Collect the like terms by adding their coefficients.

= 13x + 12y - 6z + 7y - 28z
Collect the like terms by adding their coefficients.

= 13x + 19y - 6z - 28z
Collect like terms by calculating the sum or difference of their coefficients. Use addition and subtraction rules to calculate the expression.

= 13x + 19y - 34z
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Find an ordered pair that is solution for linear equation 4x-5y=20​
Eduardwww [97]

Answer:

(5,0) is the solution of the given equation.

(0,-4) is the solution of the given equation.

Step-by-step explanation:

Here, the given equation is: 4 x- 5y  = 20

Now, we need to find a value for (x,y) such that the above equation is satisfied.

The ONLY POSSIBLE way to do this is Hit and Trial.

Let us substitute x  = 0

Then the equation becomes : 4 (0) - 5y = 20

or, -5 y =  20 ⇒  y = -20/5 = - 4

So, for x = 0, y = - 4

So, (0,-4) will be the solution of the given equation.

Let us substitute y  = 0

Then the equation becomes : 4 (x) - 5(0) = 20

or, 4 x =  20 ⇒  x = 20/4 = 5

So, for x = 5, y = 0

So, (5,0) will be the solution of the given equation.

We can try another substitution as well.

For any value of x, we will get a corresponding value of y. So, (x,y) will be the solution of the given equation.

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3 years ago
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Scilla [17]

Answer:

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Step-by-step explanation:

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3 0
3 years ago
Apply the distributive property to write an equivalent expression in factored form: 12s + 18r
Kryger [21]
The most simplified answer is the greatest factor being six. Divide both by six and six is on the outside of parentheses to be equivalent making the answer 6(2s+18r) or -6(-2s-18r) if you used negatives as I would jot down negative and positive
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3 years ago
Divide the sum of (-24),(-10) and (-40) by the product of (-5) and 3​
PilotLPTM [1.2K]

Answer:

4.93333...

Step-by-step explanation:

-24 + (-10) + (-40) = -74

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-74 /-15 = 4.93333...

5 0
3 years ago
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An open box of maximum volume is to be made from a square piece of material 24 cm on a side by cutting equal squares from the co
mr Goodwill [35]

Answer:

V = x(24 - x)^2 cm^3.

Domain = (0, 24).

Step-by-step explanation:

a. Let the lengths of the sides of the squares be x cm.

Then the lengths of the sides of the base of the box will be  (24 - 2x) cm.

The height of the box will be x cm.

So the required volume

= height * area of base

So V = x(24 - x)^2

b. The domain of this function is (0, 24).

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3 years ago
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