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3 years ago

A set of equations is given below:

1 answer:

4 0

The answer is: [A]: "No solution" .
_______________________________________________
Note: Given:
_______________________________________________
y = 4x + 8 ;
y = 4x + 2 ;
_______________________________________________

Since: "y = y" ;

4x + 8 = 4x + 2 ; which is not true;
______________________________
4x + 8 ≠ 4x + 2 ; since, "8 ≠ 2" ;

Note: Suppose: "4x + 8 = 4x + 2" ;

→ Subtract "4x" from each side of the equation:

4x + 8 − 4x = 4x + 2 − 4x ;

to get:
_________________
" 8 = 2 " ; not true ; since "8 ≠ 2" ;
______________________________
Also, suppose:
_______________________________
4x + 8 = 4x + 2 ;

→ Subtract "2" from BOTH SIDES of the equation;

4x + 8 − 2 = 4x + 2 − 2 ;

to get:

4x + 6 = 4x

(Note: "4x + 0 = 4x" ; but "4x + 6 ≠ 4x") l

But even if we have:

4x + 6 = 4x ;

→ Subtract "4x" from EACH side of the equation:

4x + 6 − 4x = 4x − 4x ;

to get:

6 = 0 ; which is not true; "6 ≠ 0" .
____________________________________
The correct answer is: [A]: "No solution" .
______________________________________

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umka2103 [35]

Answer:

Step-by-step explanation:

$12,\:30\\\\\mathrm{Prime\:factorization\:of\:}12:\quad 2\times\:2\times\:3\\\mathrm{Prime\:factorization\:of\:}30:\quad 2\times\:3\times\:5\\\\=2\times\:2\times\:3\times\:5\\\\=60$

$6,\:10\\\\\mathrm{Prime\:factorization\:of\:}6:\quad 2\times\:3\\\mathrm{Prime\:factorization\:of\:}10:\quad 2\times \:5\\\\=2\times \:3\times \:5\\\\=30$

$16,\:24\\\\\mathrm{Prime\:factorization\:of\:}16:\quad 2\times \:2\times\:2\times\:2\\\mathrm{Prime\:factorization\:of\:}24:\quad 2\times\:2\times\:2\times\:3\\\\=2\times\:2\times\:2\times\:2\times\:3\\\\=48$

$14,21\\\\\mathrm{Prime\:factorization\:of\:}14:\quad 2\times\:7\\\mathrm{Prime\:factorization\:of\:}21:\quad 3\times\:7\\\\=2\times\:7\times\:3\\\\=42$

$9,15\\\\\mathrm{Prime\:factorization\:of\:}9:\quad 3\times\:3\\\mathrm{Prime\:factorization\:of\:}15:\quad 3\times\:5\\\\=3\times\:3\times\:5\\\\=45$

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$5,\:11\\\\\mathrm{Prime\:factorization\:of\:}5:\quad 5\\\mathrm{Prime\:factorization\:of\:}11:\quad 11\\\\=5\times \:11\\\\=55$

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3 years ago

4,12,36,108,324,972,____ What is the next number in the pattern?

AysviL [449]

2,916 is going to be your answer, they were all multiplied by 3 hope this helps!

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3 years ago

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Jason wanted to place all 540 marbles in the 3 newly bought boxes. If he wants to

kotegsom [21]

Answer:

The first box will have 90 marbles, the second 180 and the third 270.

Step-by-step explanation:

Division in a ratio of 1:2:3

1 + 2 + 3 = 6

The first box will have 1/6 of the marbles.

The second box will have 2/6 = 1/3 of the marbles

The third box will have 3/6 = 1/2 of the marbles.

First box:

One sixth, so:

(1/6)*540 = 540/6 = 90

Second box:

One third, so:

(1/3)*540 = 540/3 = 180

Third box:

One half, so:

(1/2)*540 = 540/2 = 270

The first box will have 90 marbles, the second 180 and the third 270.

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3 years ago

A new hybrid car has a 18-gallon gas tank. On one tank of gas, the owner can drive 540 miles. The number of miles traveled varie

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3 years ago

The temperature in your town is 31°F. The radio announcer says that the temperature will drop 15 degrees. What will the temperat

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Answer: 16° F

Step-by-step explanation:

30-15=16

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3 years ago

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