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Answer: Choice A) 1/7, 3/7, 4/7, 6/7</h3>
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Explanation:
All of the fractions, for each of the answer choices, has a denominator of 7. This means we can ignore them when it comes to sorting out the fractions. Focus only on the numerators.
- Choice A has numerators 1,3,4,6 in that order from left to right. This is in increasing order (ie smallest to largest), so this is why choice A is the answer.
- Choice B has the numerators 6,4,3,1 in that order. This is from largest to smallest, which is the complete opposite of what we want. Choice B is incorrect.
- Choice C has numerators 1,6,4,3 which is in neither order. Rule this out as well.
- Choice D has numerators 3,4,1,6 and we can rule it out for similar reasoning as choice C.
If you want, you can convert each fraction to decimal form to sort out the decimals that way, then convert back to fraction form.
Answer:
Step-by-step explanation:
(x²-6x-3)(7x²-4x+7)= ?
Multiply each term of 2nd bracket with the 1st bracket:
=7x²(x²-6x-3) -4x(x²-6x-3) +7(x²-6x-3)
=7x^4-42x^3-21x^2-4x^3+24x^2+12x+7x^2-42x-21
Now solve the like terms:
=7x^4-46x^3+10x^2-30x-21
Therefore the answer is (x²-6x-3)(7x²-4x+7)=7x^4-46x^3+10x^2-30x-21 ....
Answer c would be the answer hope it helps
Step-by-step ex planation:
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Answer:
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality
Step-by-step explanation:
An equation can be solved and its solution proven using algebraic theorems and properties. To create a proof, form two columns. Label one side Statements and the other Reasons.
Begin your proof listing the any information given to you. List as the reason - Given.
Then list the next step which here would be to subtract by 11 on both side. The reason is Subtraction Property of Equality. Subtraction is the inverse of addition. Inverse axiom is another acceptable reason.
Then divide both sides by 2. The reason is Division Property of Equality or Inverse axiom once again. See the proof below.
Statements Reasons
1. 2x + 11 = 15 1. Given
2. 2x = 4 2. Subtraction Property of Equality
3. X = 2 3. Division Property of Equality