Which identity could be used to rewrite the expression x^4-100?
2 answers:
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Answer:
The correct option is D) 43 items.
Step-by-step explanation:
As we know that total given time is ,
,
Out of which cashier spends 40 seconds to process the customer's payment.
So the remaining time = (126 - 40) = 86 secs.
And the remaining time is used to scan the item and so that we can calculate here the no items scan is = (86 ÷ 2) = 43.
Therefore we can say that 43 items are being purchased.
Answer:
B) \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Step-by-step explanation:
Step 1: First we have to get rid off the roots in the denominator.
To do that, we have to multiply the numerator and the denominator by the conjugate of √5 + √3.
The conjugate of √5 + √3 is √5 - √3.
Now multiply given expression with √5 - √3
(√6 + √11) (√5 - √3)
------------- x -----------
(√5 + √3) (√5 - √3)
Step 2: Multiply the numerators and the denominators.
√6√5 - √6√3 +√11√5 -√11√3
------------------------------------------
(√5)^2 - (√3)^2
Now let's simplify to get the answer.
√30-√18 +√55 - √33
-----------------------------
5 - 3
= √30 -3√2 +√55 [√18 = √9√2 = 3√2]
--------------------------
2
The answer is \sqrt{30} - 3 \sqrt{2} + \sqrt{55} - \sqrt{33} \div 2
Thank you.