Domain of a Function is a Set of Values under which the Function is defined or a Set of Values which satisfy the respective Function.
From the Diagram we can Notice that the Function is Defined only with the Values : (-6 , -1] ∪ (1 , 5]
⇒ Domain of the Given Function is (-6 , -1] ∪ (1 , 5]
Range is the Set of Values which we get under the Defined values of Domain of the Given Function.
From the Diagram we can Notice that the Values of the Given Function under the Defined Domain range from : (-3 , 2] ∪ [3 , 7)
⇒ Range of the Given Function is (-3 , 2] ∪ [3 , 7)
2nd Option is the Answer
Answer:
The answer is
Explanation:
First you would divide 426 by 33. And you would get 12.9090 etc. So you would round it up to 13.
It is in the hundreds place.
The justification for whether Skyler, Robert, or Kaitlyn was right or wrong stems from how they went about their processes:
- Skyler erred by failing to equalize the bases of both sides before equating the exponents.
- Robert is right since he equalized the exponents before comparing the bases of the two sides.
- Since Kaitlyn made the bases of both sides equal before equating the exponents, she is accurate.
1) SKYLER'S PROCESS:
Skyler wants to resolve the following issue;
Reduce 729 to the lowest base possible as a first step; [3^(6)]^x = 9
729^(x) = 9
The next thing she did was convert 6x to 9.
Since both sides must have the same base when dealing with exponent equality, she may have transformed 9 to have the same base of 3 as the left hand side before equating the exponents.
So Skyler is wrong.
2) ROBERT'S PROCESS:
Skyler failed to capture both bases equally, as we witnessed, but Robert has now made the right decision by;
9^(3x) = 9¹
After which he equated the exponents to get;
3x = 1
x = 1/3
Thus; Robert is correct
3) KAITLYN'S PROCESS:
Kaitlyn is also accurate since she adhered to the same method, which calls for comparing bases before comparing exponents.
Learn more about laws of exponents here:
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<u>Arranging</u> the given numbers from <u>greatest</u> to <u>least</u> implies descending order of <u>arrangement</u>. So that the required answer to the question is; seventy-eight ninths, square root of forty-five, cube root of ninety-seven. Thus option B.
The arrangement or order of a given <u>set</u> of <u>numbers</u> can be done either in a <u>descending</u> or <u>ascending</u> order. <em>Descending order</em> of <em>arrangement</em> implies <em>arranging</em> the numbers from <u>greatest</u> to <u>least</u> while <em>ascending order</em> of <em>arrangement</em> requires <em>arranging</em> the given numbers from <u>least </u>to <u>greatest</u>.
Thus in the given question the number with the <u>highest</u> value will come <u>first</u>, then followed by the next <em>higher value</em> until the <u>order</u> is complete.
Thus, we have:
i. cube root of ninety-seven =
≅ 4.595
ii. seventy-eight ninths =
≅ 8.667
iii. square root of forty-five =
≅ 6.708
Thus arranging the given <u>numbers</u> with respect from <u>greatest</u> to<u> least</u>, we have; seventy-eight ninths, square root of forty-five, cube root of ninety-seven.
Therefore the correct <u>option</u> is B.
For more clarifications on the order of a set of numbers, visit: brainly.com/question/21621380
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