Answer: Rational "yes"
Step-by-step explanation: The square root of 25 is indeed a rational number. Rational numbers are numbers. The square root of 25 is a perfect square which means that it has a number that can be multiplied by itself which gives us 25.
In this case, the number is 5 so yes, it's rational.
The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place.
The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.
f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5
So, the slope is equal to:
Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
Point slope form is
Since we have to write the equation of a perpendicular line we will have to use the slope that is opposite and reciprocal.
Hope this helps :)
Answer:
The apple hanging the highest has the most gravitational energy because it has a further distance then the lower one. The higher the object is the more gravitational pull will be
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Answer:
Step-by-step explanation:
The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of . From here we're in simplest form, since 
or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.
