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Bond [772]
2 years ago
6

For which values of the variables the following equality is true?

Mathematics
1 answer:
Ilia_Sergeevich [38]2 years ago
6 0

Answer:

For The value of a = 0 and c = 0 , The given expression equality is true  

Step-by-step explanation:

Given expression as :

\frac{3a^{2}+ac+2c-6a}{3a - c} = a - 2

Or, 3 a² + ac + 2 c - 6 a = ( a - 2 ) × ( 3 a - c )

Or, 3 a² + ac + 2 c - 6 a =  3 a² - ac - 6 a + 2 c

Or, (  3 a² + ac + 2 c - 6 a ) - ( 3 a² - ac - 6 a + 2 c ) =0

Or, ( 3 a² - 3 a² ) + ( ac + ac ) + ( 2 c - 2 c ) + ( - 6 a + 6 a ) = 0

or,  0 + 2 ac + 0

Or, 2 ac = 0

∴  a =0  and c = 0

Hence For The value of a = 0 and c = 0 , The given expression equality is true  .  Answer

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So the final answer is:
10^9
Or in other words:
10 to the power of 9
7 0
3 years ago
At a hardware store, each wooden plank costs $3.57. How much do 12 planks cost?
777dan777 [17]
To find this answer, we need to multiply 3.57 by 12.
3.57 * 12 = 42.84
Therefore, 12 planks will cost $42.84.
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3 years ago
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5 0
3 years ago
How do I solve this, and what is the answer? please and thank you.
vovangra [49]

Answer:

A. (x +8) + (-4x+31)/(x^2+2x+1)

Step-by-step explanation:

When you perform long division of polynomials, the first quotient term is the ratio of the highest-degree terms in the numerator and denominator: x^3/x^2 = x.

This fact eliminates all but choices A and C.

The denominator of the remainder term is the denominator of the original expression, so will be x^2 +2x +1, as shown in choice A.

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So, simply based on a couple of facts about long division (that you learned in the early elementary grades), you can make the correct choice of answer without actually working the problem in detail.

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This is a polynomial long division problem. It is worked in virtually the same way that numerical long division problems are worked: first you find a quotient term, then you multiply that by the divisor and subtract the result from the dividend. The difference is the new dividend. These steps are identical to numerical long division.

For polynomial long division, instead of lining up the digits with the same place value, you line up the terms with the same degree of the variable.

As mentioned above, the quotient term is computed only from the highest-degree terms of dividend and divisor, so that part is actually simpler than for numerical long division.

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Numerical example: 18/7 = 2 remainder 4 or 2 4/7.

8 0
3 years ago
3) If you can buy one package of shallots for<br> $4, then how many can you buy with $12?
Olin [163]

Answer:

3.

Step-by-step explanation:

4$ = 1 pack

(think: what times 4 is 12? 3! so we need to muliply both sides of the equal sign by 3, so we can turn the 4 into a 12. Remember, what you do to on side, you must do to the other. )

4$ = 1 pack

*3  *3

12$ = 3 packs

so your answer is 3.

5 0
3 years ago
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