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kow [346]
2 years ago
15

8. Charlotte is given the equation 3x - 4y = 12. She needs to create a graph of the equation, but

Mathematics
1 answer:
Zielflug [23.3K]2 years ago
5 0

Answer/Step-by-step explanation:

Note:

<u>Graphing From An Equation: </u>

Equation are frequently written in slope-intercept form { y = mx+b}.

Which "m" represents the slope and "b" represents the y-intercept.

<u>Solutions and Equation:</u>

Solutions to linear equations contain any points located on the graphed line.

Ordered Pair = Solution to an equation if it's values are substituted in the equation which makes it true

Solve:

{x = 0 }       3(0) - 4y = 12

                       -4y = 12                                 (0, -3 )

                       -4y/-4 = 12/-4

                                y = -3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

{y = 0}                  3x-4(0) =12

                                3x = 12              (4,0)

                                 3x/3 = 12/3

                                        x = 4

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

<u><em>~Lenvy~</em></u>

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Fifty three less than twuce a number is 31 what is the number​
BartSMP [9]

Answer:

42

Step-by-step explanation:

So if the result of it is 31,

And it is 53 less you would add back 53

53 + 31 = 84

And it is twice a number so you divide by 2 (opposite of twice a number)

84/2 = 42

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Expressed as a product of its prime factors in index form, a number N is
Elena-2011 [213]

<u>ANSWER</u>



5N^2=3^{2} \times 5^{5} \times x^{6}



<u>EXPLANATION</u>


N=3\times5^2 \times x^3.


5N^2=5(3\times5^2 \times x^3)^2


Recall this property of exponents;


(a^m)^2=a^{m} \times a^m



So our product becomes;


5N^2=5(3\times5^2 \times x^3) \times (3\times5^2 \times x^3)



5N^2=5\times 3\times 3 \times 5^2 \times 5^2 \times x^3 \times x^3


5N^2=3\times 3\times 5 \times 5^2 \times 5^2 \times x^3 \times x^3



Recall this law of exponents:


a^m \times a^n =a ^{m+n}


5N^2=3^{1+1} \times 5^{1+2+2} \times x^{3+3}


5N^2=3^{2} \times 5^{5} \times x^{6}




7 0
3 years ago
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