The correct answer is: " √x − <span>2√b " .
</span>_________________________________________________________
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:
Option 4: y > 2x
x + 2y < -8
Step-by-step explanation:
Taking first equation:
y > 2x
Putting x = 0
y > 0
Putting y = 0
0 > x
So the blue line in drawn according to first equation.
Taking second equation:
x + 2y < -8
Putting x = 0
2y < -8
y < - 4
putting y = 0
x < -8
So the red line is drawn accordingly.
i hope it will help you!
First, determine the z-score of 675.
z = (675 - 500) / 100 = 1.75
The z-score of 500 is,
z = 0.
Subtracting the z-scores will give us 1.75. This is equal to 0.9599.
= 0.9599 - 0.5 = 0.4599
Multiplying this to the given number of light bulbs,
n = 0.4599 x 5000 = 2299.5
Therefore, there is approximately 2300 light bulbs expected to last between 500 to 675 hours.
Answer:
A. 0.0049
B. Yes
Step-by-step explanation:
Sample proportion = 0.64
N = 1000
Population proportion = 0.60
We solve for standard deviation
= √p(1-p)/n
= √0.60(1-0.60)/1000
= √0.60x0.40/1000
= √0.00024
= 0.0155
A.
The probability of sample >=0.64
Z>=0.64-0.60/0.0155
Z >= 0.04/0.0155
So z >= 2.5806
Using excel this equal to 0.0049
0.0049 is probability of sample proportion being 0.64 at least.
B.
This answer in a shows that than 60% of households in the united states income class purchased life insurance last year.
Subtracting whole numbers does not include subtracting negative numbers, whereas when subtracting integers you can include negative numbers.
