1. Rational/The sum of two rationals is always rational
2. Irrational/ the sum of a rational and an irrational is always irrational
3. Irrational/The product of a nonzero rational and an irrational is always irrational
4. Rational/The product of two rationals is always rational
Pretty much all the irrational numbers are the ones with radical signs over them and the rational numbers are the fractions and whole numbers. Once you identify the two numbers to be rational or irrational, you can then find your answer within the second part of the answers.
Answer:
dy/dx=8
Step-by-step explanation:
note this differentiating a constant you get zero for that of a function like 8x you would use the index or power of x to multiply the coefficient of the x after substrate 1 from the power of the x putting that in writing for the above question we get
y'=dy/dx=(8*1)x^(1-1) - 0
y'=dy/dx=8x^0
y'=dy/dx=8
Answer:
Step-by-step explanation:
Hello!
The variable of study is X: Temperature measured by a thermometer (ºC)
This variable has a distribution approximately normal with mean μ= 0ºC and standard deviation σ= 1.00ºC
To determine the value of X that separates the bottom 4% of the distribution from the top 96% you have to work using the standard normal distribution:
P(X≤x)= 0.04 ⇒ P(Z≤z)=0.04
First you have to use the Z tables to determine the value of Z that accumulates 0.04 of probability. It is the "bottom" 0.04, this means that the value will be in the left tail of the distribution and will be a negative value.
z= -1.75
Now using the formula of the distribution and the parameters of X you have to transform the Z-value into a value of X
z= (X-μ)/σ
z*σ = X-μ
(z*σ)+μ = X
X= (-1.75-0)/1= -1.75ºC
The value that separates the bottom 4% is -1.75ºC
I hope this helps!
Answer:
rectangle, square, isosceles trapezoid
Step-by-step explanation:
Answer:
<h3>Area, A(x) = 30x - x² , as a function of the length (x).</h3>
Step-by-step explanation:
Creative Landscaping has 60 yard of fencing with which to enclose a rectangular garden.
If the garden is X yards long, express the Gardens area as a function of length
Let x be the length of garden
So perimeter of rectangle = 60 yard
Perimeter = 2 * ( Length + width)
60 = 2 * ( x + width)
Width = 60/2 - x
Width= 30 - x
<h3>Area, A(x) = 30x - x² , as a function of the length (x).</h3>
