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masha68 [24]
3 years ago
5

When Raphael solved the system below by using the method of elimination, he changed the second equation to -8x-2y=-2 what proper

ty justifies this manipulation?
8x+3y=7
4x+y=1
Mathematics
1 answer:
galben [10]3 years ago
4 0
For this case, what we are going to do is use the following property:
 Multiply an equation by a scalar.
 In this case, the scalar will be:
 k = -2
 We have then that equation 2 will be:
 k * (4x + y) = k * 1
 -2 * (4x + y) = - 2 * 1
 -8x-2y = -2
 Answer:
 The property that justifies this manipulation is:
 Multiply an equation by a scalar.
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Gnom [1K]

setup a simple algebraic equation and solve.

5x = 7x-28

-5x   -5x

0=2x-28

+28  +28

28=2x

Now divide both sides by 2 and you get that she is 14

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Which equation has the same graph as 4x + 8y = 12?
Nutka1998 [239]

Answer:

4x + 8y = 12  \\ 4(x + 2y) = 12 \\  \frac{4(x + 2y)}{4}  =  \frac{12}{4}  \\ x + 2y = 3

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What is the domain of the function y= 4x+6 - 7?
Fantom [35]
<h2>Answer:</h2>

<em>Domain:</em>  (−∞,∞)  ,  {x|x∈R}

<h2> explanation:</h2>

The domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined.

<u><em>Interval Notation:</em></u>

(−∞,∞)

<u><em>Set-Builder Notation:</em></u>

{x|x∈R}

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3 years ago
This isn't middle school it's 4th grade. what is the LCM of 9, 15?​
vagabundo [1.1K]

Answer:

LCM of 9 and 15 is 45.

Step-by-step explanation:

What is the LCM of 9 and 15?

Find the prime factorization of 9.

Find the prime factorization of 15. 15 = 3 × 5.

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM: LCM = 3 × 3 × 5.

LCM = 45.

(hope this helps can i plz have brainlist :D hehe)

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2. Barak has 4 pet lizards. Each lizard eats 5 crickets a day. If a cricket costs 12 cents,
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Answer:

The expression Barak could use to find the amount he will spend to feed his pet lizards for one day = Number of pets × number of crickets per pet × cost of each crickets

Step-by-step explanation:

Pet lizards = 4

Each lizard eats 5 crickets

4 pet lizards will eat = 4 × 5 crickets

= 20 crickets

A cricket = 12 cents

That is, $0.12

Cost of 20 crickets = 20 × $0.12

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The expression Barak could use to find the amount he will spend to feed his pet lizards for one day

= Number of pets × number of crickets per pet × cost of each crickets

= (4) (5) (0.12)

= $2.4

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