For this question, all you need to do is divide dollar amount by the amount of hours.
38/7= $5.42857 per an hour of bike usage
My Answer:
<span>$5.43 (rounded to the nearest hundreths place) per an hour of bike usage</span>
Make sense? Any questions?
I= prt
I=$400 (0.06) (3)
I= 72
The 6% was changed into a decimal (0.06)
So I multiplied 400 x 0.06 x 3
The 400 would be the principal amount the 6% would be the rate and the 3 would be the time
The instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.
<h3>What is the instantaneous rate of change of the function at the given point?</h3>
The instantaneous rate of change is simply the change in the derivative value at a specific point.
Given the data in the question;
- f(x) = −4x² − 3x + 1
- Point x = -3
To determine the instantaneous rate of change of the function, first find the derivative of the function.
f(x) = −4x² − 3x + 1
Applying sum rule, with respect to x
d/dx[ -4x² ] + d/dx[ -3x ] + d/dx[ 1 ]
[ 2 × -4x¹ ] + [ 1 × -3x⁰ ] + d/dx[ 1 ]
[ -8x ] + [ -3 ] + d/dx[ 1 ]
-8x - 3 + d/dx[ 1 ]
Differentiate using constant rule
-8x - 3 + [ 0 ]
-8x - 3
f'(x) = -8x - 3
Next, plug x = -3 into the derivative and simplify.
f'(x) = -8x - 3
f'(-3) = -8(-3) - 3
f'(-3) = 24 - 3
f'(-3) = 21
Therefore, the instantaneous rate of change of the function f(x) = −4x² − 3x + 1 at the point x = -3 is 21.
Learn more about instantaneous rate of change here: brainly.com/question/28122560
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Hey there, hope you are having a wonderful day! :)
Let's solve this inequality.
First of all, let's move all the numbers to the right, using the 
:
Now, let's move the variables to the left:
Now, as you can see, we ended up with a false statement. 0 is NOT greater than 5.
Thus, there are no values of x that make the inequality true, and the inequality has
Hope you find it helpful.
Feel free to ask if you have any doubts.
A reflection over the x axis coupled with another reflection over the y axis leads to a rotation of 180 degrees.
In other words,
Start with point A. Reflect over the x axis to get point B. Reflect B over the y axis to get point C. To go from A to C, we can rotate A 180 degrees about the origin.
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So this means that if we do those reflections and then do the rotation, then we end up back where we started. Wherever point A is located, the point A' will also be located at the same position with the same coordinates.
