The answer is: y = -2x+12
4x+2y=24=
4x-4x+2y=24-4x=
2y=24-4x
Divide each piece by 2=
2y/2=24/2-4x/2
y=12-2x
But, slope intercept form is y=mx + b so you must put the second part in reverse, making the answer to the equation be y=-2x+12
(Don't forget the - on -2)
Answer:
a) Mean=0 and Standard deviation=1
b) The z-scores have no units of measurement
Step-by-step explanation:
When we convert all the pulse rates of women to z-scores using the formula;
the mean is 0 and the standard deviation is 1.
The reason is that, the resulting distribution of z-scores forms a normal distribution which has a mean of 0 and a standard deviation of 1.
b) The z-scores are standardize scores and has no units of measurement. They give us how many standard deviations below or above the mean of the corresponding values.
9514 1404 393
Answer:
D.
Step-by-step explanation:
The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)
When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.
The only reasonable choice is D.
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Your calculator can check this for you.
√12/(√3 +3) ≈ 3.4641/(1.7321 +3)
= 3.4641/4.7321 ≈ 0.7321 = -1 +√3
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If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.

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<em>Additional comment</em>
We "rationalize the denominator" in this way to take advantage of the relation ...
(a -b)(a +b) = a² -b²
Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.
We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).
The formula to find the amount is

Here A = amount
P is the principal
r is the rate
n is the number of years
Then to find the interest we subtract principal from amount.
Interest = A - P
Here
P= 2200, r = 3% = 0.03 , n = 6 years

Hence the interest earned = 2626.92-2200 = $426.92
Now if the total of $2200 was deposited in three banks then each account earns 
Each account earns $142.31