The correct answer is: " √x − <span>2√b " .
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The "conjugate" of " √x + 2√b " is: " √x − 2√b " .
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Explanation:
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In an expression with 2 (TWO) terms; that is, in a "binomial expression",
the "conjugate" of that expression refers to that very expression — with the "sign" in between those two terms—"reverse" (e.g. "minus" becomes "plus" ; or, "plus" becomes "minus" .) .
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→ So: We are given: " <span>√x + 2√b " .
</span>
→ Note that this is a "binomial expression" ;
→ that is, there are 2 (TWO) terms: " <span>√x " ; and: " 2√b " .
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To find the "conjugate" of the given binomial expression:
</span>→ " <span>√x + 2√b " ;
</span>→ We simply change the "+" {plus sign} to a "<span>−" {minus sign} ; and rewrite:
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</span>→ " √x − 2√b " ;
→ which is the "conjugate" ; and is the correct answer:
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→ " √x − 2√b " ; is the "conjugate" of the expression: " <span>√x + 2√b " .
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</span>→ {that is: " √x − 2√b " ; is the conjugate.}.
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Answer:
Money left from her earning after expenses is $ 7160.86
Step-by-step explanation:
Money earned by Monica every month = $ 8322.65
Money spend on rent = $ 830.98
Money spend on food = $ 210.36
Money spend on gas every month = $ 120.45
Money left from her earning = 8322.65 - ( 830.98 + 210.36 + 120.45 )
= 8322.65 - 1161.79
= $ 7160.86
That's not enough information to calculate your grade from.
-- You've told us the scores you have in things that go together
to make up (35 + 5 + 25) = 65% of your grade.
-- We don't know your scores in the things that make up the other
35% of your grade.
It’s $138.89 including sales tax
I'm assuming the funds earn 5% yearly?
Call x the amount he saves every year. The first year's deposit will be multiplied by 1.05 three times, the next will be multiplied by 1.05 twice, the third will be multiplied by 1.05 once, and the fourth will not generate interest (as it will immediately be used to buy the car).
Therefore, x(1.05^3+1.05^2+1.05+1)=21000, so 4.31x=21000. Dividing by 4.31, we see that x is approximately equal to 4872.