Answer:
50 mph
Step-by-step explanation:
The total distance is 350 miles.
The total time is 3 hr + (240 mi / 60 mph) = 7 hr.
The average speed is 350 mi / 7 hr = 50 mph.
Answer: e. x≠2 f. x≥-1/2
Step-by-step explanation:
Domain is basically the x value of a function.
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Question e.
g(x)=5/(2-x)
First, keep in mind, the denominator of a fraction can not be zero or else it will be undefined.
Since x is in the denominator: 2-x≠0
2-x≠0
<h2> x≠2 Yes, this is the domain</h2>
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Question f
h(x)=√(2x+1)
For a standard square root, the value inside can't b negative
So 2x+1≥0
2x≥-1
<h2> x≥-1/2 Yes, this is the domain</h2><h2 />
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Answer:- The functions f(x) and g(x) are equivalent.
Explanation:-
Given functions:-
and ![g(x)=\sqrt[3]{64^x }](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%20%7D)
Simplify the functions by using law of exponents

Thus 
and ![g(x)=\sqrt[3]{64^x}=\sqrt[3]{(4^3)^x}= \sqrt[3]{4^{3x}}= \sqrt[3]{(4^x)^3}=4^x](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%5B3%5D%7B64%5Ex%7D%3D%5Csqrt%5B3%5D%7B%284%5E3%29%5Ex%7D%3D%20%5Csqrt%5B3%5D%7B4%5E%7B3x%7D%7D%3D%20%5Csqrt%5B3%5D%7B%284%5Ex%29%5E3%7D%3D4%5Ex)
⇒f(x)=g(x)
Therefore ,the functions f(x) and g(x) are equivalent.
Answer:
Step-by-step explanation:
A positive parabola is one that has a + sign out front or no sign at all (and the positive is understood). A positive parabola opens like a cup with a bottom. Therefore, the positive parabola has a min value. A negative parabola opens upside down, like a mountain with a peak. Therefore, the negative parabola has a max value.
Answer:
Option d.
Step-by-step explanation:
we know that
The graph of a continuous probability distribution is a curve. Probability is represented by area under the curve.
The curve is called the probability density function (abbreviated as pdf).
We use the symbol f(x) to represent the curve
therefore
The probability density function f(x) represents . the height of the function at x.