3 years ago

1/3 of 12 = 2/3 of ?

2 answers:

8 0

Answer:

Step-by-step explanation:

1/3 × 12 = 4

2/3 × ? = 4

? = 4 × 3/2

? = 6

5 0

Answer:

Step-by-step explanation:

1/3 * 12 = 4

4 * 3/2 = 6.

Checking 2/3 of 6 = 2/3 * 6

= 4.

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makkiz [27]

Answer:

Correct options are A and D

Step-by-step explanation:

According to the synthetic division in the diagram you can write down the result of division:

$2x^2+9x-7=(x-(-6))(2x-3)+11,\\ \\2x^2+9x-7=(x+6)(2x-3)+11.$

Therefore,

when $2x^2+9x-7$ is divided by $x+6,$ the remainder is 11 (option D is correct). To find the remainder after division by $x-6,$ you have to use another synthetic division. Actually, $2x^+9x-7=(x-6)(2x+21)+119,$ then the remainder is 119 (option C is false).
when $x=-6,$ the expression $x+6$ is $-6+6=0$ and $2x^2+9x-7=0\cdot (2x-3)+11=11$ (option A is correct). You cannot state the same when $x=6$ (option B is false).
neither $x-6$ nor $x+6$ is a factor of $2x^2+9x-7,$ because the remainders in both cases are not equal to 0 (options E and F are false).