Answer: 
Step-by-step explanation:
The rational theorem states that if f(x) has integer coefficients and 
is a rational zero, then q is the factor of leading coefficient and p is the factor of constant term.
Given polynomial= 
Now, Factors of leading coefficient q=
factors of constant term p=
according to rational root theorem the rational roots are in the form
We know
![y=\sqrt[3]{x}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%7D)
is an increasing function as when the value of x increases the value of y increases
And when the value of x decreases , the value of y also decreases.
Now if we have (x+a) or (x-a) instead of x, the function shall have a horizontal shift.
So it shall either move left or right but shall not flip.
So
![y=\sqrt[3]{(x-8)}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%28x-8%29%7D)
and ![y=\sqrt[3]{(x-5)}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B%28x-5%29%7D)
are increasing functions.
Only when x becomes -x, that the function shall flip & shall become a decreasing function.
But then it must be - (x-a) or -(x+a) inside.
So
![y=\sqrt[3]{-(5-x)}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7B-%285-x%29%7D)
is also increasing
Only
![y=- \sqrt[3]{(x+5)}](https://tex.z-dn.net/?f=y%3D-%20%5Csqrt%5B3%5D%7B%28x%2B5%29%7D)
is a decreasing function.
Option D) is the right answer.
Answer:
Step-by-step explanation:
According to the central limit theorem, if independent random samples of size n are repeatedly taken from any population and n is large, the distribution of the sample means will approach a normal distribution. The size of n should be greater than or equal to 30. Given n = 100 for both scenarios, we would apply the formula,
z = (x - µ)/(σ/√n)
a) x is a random variable representing the salaries of accounting graduates. We want to determine P( x > 52000)
From the information given
µ = 50402
σ = 6000
z = (52000 - 50402)/(6000/√100) = 2.66
Looking at the normal distribution table, the probability corresponding to the z score is 0.9961
b) x is a random variable representing the salaries of finance graduates. We want to determine P(x > 52000)
From the information given
µ = 49703
σ = 10000
z = (52000 - 49703)/(10000/√100) = 2.3
Looking at the normal distribution table, the probability corresponding to the z score is 0.9893
c) The probabilities of either jobs paying that amount is high and very close.
Answer:
The first transformation was a rotation rotation about point A
The second transformation was a reflection across line M
Answer:
Step-by-step explanation:
Given : One nanometer equals about 0.00000004 inches.
To find : When writing this decimal as a single-digit integer multiplied by a power of ten, the single digit integer is and the power of ten ?
Solution :
Therefore, the decimal as a single-digit integer multiplied by a power of ten is
