Find two numbers that multiply to make your first number
The minimum and maximum numbers of hours you will have cruise control on are 2.75 hours and 3.75 hours, respectively
<h3>How to find the minimum and maximum numbers of hours you will have cruise control on?</h3>
The given parameters are
Distance = 195 miles
Speed = 60 miles per hour
Distance to turn the cruise control off = 30 miles within the border on either sides
The distance when you turn the cruise off is:
Distance = Current Distance ± Distance to turn the cruise control off
This gives
Distance = 195 ± 30
Expand
Distance = (195 - 30, 195 + 30)
Evaluate
Distance = (165, 225)
Recall that
Speed = 60 miles per hour
So, we have:
Time = Distance/Speed
This gives
Time = (165, 225)/60
Expand
Time = (165/60, 225/60)
Evaluate
Time = (2.75, 3.75)
Hence, the minimum and maximum numbers of hours you will have cruise control on are 2.75 hours and 3.75 hours, respectively i.e. you will travel at least 2.75 hour(s) and at most 3.75 hour(s) with cruise control on.
Read more about speed at:
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Answer:
Step-by-step explanation:
This question asks you to compare the coordinates of the vertex of each function.
__
The vertex of the function is its minimum, the point where the graph stops decreasing and starts increasing. It is the lowest point on the graph.
<h3>f(x)</h3>
The vertex is (-4, -1). The minimum is -1, located at x = -4.
<h3>g(x)</h3>
The vertex is (1, -25). The minimum is -25, located at x = 1. We know this is the minimum because there are no g(x) values that are lower (more negative).
<h3>comparison</h3>
The minimum of f(x), -1, is greater than the minimum of g(x), -25. TRUE
The x-value of f(x) at its minimum, -4, is less than the x-value of g(x) at its minimum, 1. TRUE
Answer:
y = 2x + 3
Step-by-step explanation:
A line parallel to y = 2x has exactly the same slope but a different y-intercept, b.
Start with y = mx + b, and replace m with 2, y with -1 and x with -2:
-1 = 2(-2) + b, or
-1 = -4 + b.
Then b = 3, and the desired equation is y = 2x + 3
Answer:
Step-by-step explanation:
To simplify recall exponent rules:
1. An exponent is only a short cut for multiplication. It simplifies how we write the expression.
2. When we multiply terms with the same bases, we add exponents.
3. When we divide terms with the same bases, we subtract exponents.
4. When we have a base to the exponent of 0, it is 1.
5. A negative exponent creates a fraction.
6. When we raise an exponent to an exponent, we multiply exponents.
7. When we have exponents with parenthesis, we apply it to everything in the parenthesis.
We will use these rules to simplify.
Use rule #3 to simplify inside the parenthesis first.
Now simplify the exponent of 4 using rule 6.