Answer:
x=4y+1
Step-by-step explanation:
3x−7=12y−4
Step 1: Add 7 to both sides.
3x−7+7=12y−4+7
3x=12y+3
Step 2: Divide both sides by 3.
3x
3
=
12y+3
3
x=4y+1
The answer is 2
because -15 times 2 is 30 because in the equation there is subtraction sign meaning the positive 2 will be a negative.
Answer:
The short answer is there isn’t.
Start by writing each of these as an expression:
x * y = 60
x + y = 7
Next, solve each for the same variable; in this case, y:
(x * y) / x = 60 / x
.: y = 60 / x
(x + y) - x = 7 - x
.: y = 7 - x
Next, replace y of the second expression to the first
y = 60 / x & y = 7 - x
.: 7 - x = 60 / x
Now, solve for x:
(7 - x) * x = (60 / x) * x
.: x * 7 - x^2 = 60
This is quadratic, so write it in the form of ax2 + bx + x = 0
(-1)x^2 + (7)x + (-60) = 0
.: a = -1, b = 7, c = -60
Finally solve for b:
x = (-b +- sqrt(b^2 - 4*a*c)) / 2a
.: x = (-7 +- sqrt(7^2 - 4*-1*-60)) / (2 * -1)
.: x = (-7 +- sqrt(49 - 240)) / -2
.: x = (-7 +- sqrt(-191)) / -2
The square root of a negative value is imaginary and thus there’s no real answer to this problem.
The answer is (2x-1) x (22+9x) simplified. (The x in the middle is for multiplication)
Yes, If there are any outliers in the data set, the standard deviation will be large since the deviation from the mean will have increased. Therefore, if the outliers are eliminated, the standard deviation will be reduced, probably reflecting the true features of the population.
The impact on the standard deviation increases with the outlier's extremeness. Outliers make your data more variable, which reduces statistical power. Therefore, eliminating outliers can make your findings statistically significant. A removal of an outlier will have an impact on the mean. The standard deviation will decrease if the outlier was larger than the mean.
The standard deviation will increase if the outlier was less extreme than the mean. It's best to get rid of outliers only when there's a good cause to. Some outliers in your dataset represent normal population variance and ought to be left alone. They are referred to as real outliers.
To learn more about outlier visit : brainly.com/question/3631910
#SPJ4