Y=(x×5+41) where the x is number of dogs he has walked. And the y is money he has made
Answer: 299 m/s
Step-by-step explanation:
The first step is to take the first derivative of the equation given. This will give us the equation for velocity which we will then substitute the 7 in for t.
To derive the equation you multiply the coefficient by the power of the variable, then subtract one from the variable.
v(t) = 6t^2 + 5
Now input 7 in for t to find the velocity.
v(7) = 6(7)^2 + 5
v(7) = 299 m/s
Answer:
2 + 2 = 4
Step-by-step explanation:
The question you asked is a simple arithmetic ( addition precisely). Addition is the sum of two or more numbers.
2 + 2 = 4
Depending on your level, you can use counting method ( or the tally system) to get the answer.
2 + 2 = 4
II + II = IV
I hope this helps you!
Answer: Choice D) 0
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Explanation:
The interval [-2,2] is the same as writing -2 <= x <= 2 where "<=" without quotes means "less than or equal to"
Focus on the lower bound of the interval (x = -2). If x = -2, then y = 4 giving us the point (-2,4) on this parabola. You can draw a vertical line through x = -2 on the x axis and you'll see this vertical line crossing the parabola at (-2,4)
Similarly, the point (2,4) also lies on the parabola. This time we use the x value x = 2 as this is the upper part of the interval.
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So we'll use the two points (-2,4) and (2,4) to find the slope of the line through these points
m = (y2 - y1)/(x2 - x1)
m = (4 - 4)/(2 - (-2))
m = (4 - 4)/(2 + 2)
m = (0)/(4)
m = 0
The slope of this line is 0. Therefore the average rate of change on the interval [-2,2] is 0.
This is why the answer is choice D.
Side Note: the line that goes through the points (-2,4) and (2,4) is a completely flat horizontal line. All horizontal lines have slope 0.