5x + 2y =9
X + y= -3
5x+2y=9
2x+2y=-6
__________
3x =15
X =5
5+y=-3
Y=-8
Answer is : (5,-8)
Answer: One sample z test for means
Step-by-step explanation:
From the information given, the sample size is large. It is greater than 30. Again, the population standard deviation is given. This means that the test statistic would be the z score which is determined by the formula
z = (x - µ)/σ
Where
x = sample mean
µ = population mean
σ = population standard deviation
The probability value would be determined from the normal distribution table.
Therefore, the hypothesis test that should be used is
One sample z test for means
Descares Theorem says that the number of roots of a polynomial is equal to its highest exponent, and the roots could be real and/or imaginary (complex).
However is their is one complex root (a + i.b), it's conjugate is also
a root (a-i.b).
In the equation x⁴ - 4x³ - 2x² + 12x + 9 = 0, we have already 3 roots, then the 4rth cannot be a complex one since we don't have a fifth for its conjugate.
Answer:
The correct answer is x > 2.
Step-by-step explanation:
An inequality compares two quantities unlike an equality. An inequality is written with either a greater than ( > ) or lower than ( < ) or greater than equal to ( 
) or less than equal to ( 
) signs. We solve the above given inequality to find the solutions of the unknown x.
Firstly we change the right hand side quantity to fraction.
We then transfer the - 
to the right hand side and add them. The inequality sign does not change as we are simply adding or subtracting terms from both the ends.
Finally we divide both sides with 
to get the required solution. The inequality sign does not change as we are multiplying both the ends with a positive quantity.
This gives us the answer as x > 2.
