Answer:
20n - 4
Step-by-step explanation:
the product of 20 and a number means multiplying 20 by n (the variable representing the number)
to get four less than this product, you subtract 4
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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Answer:
A
Step-by-step explanation:
5,12,13 is a right triangle
50 sqft = 45 min
495 sqft = x min
495/50 is 9.9. So we know we multiplied 50 by 9.9 to change it to 495.
Do the same on the other side. 45 x 9.9 = 445.5.
It will take him 445.5 minutes, or 7.425 hours
Answer:
Which do you need help with?
1. -6 is 4 units from -2 in the negative direction.
2. A. and D
Step-by-step explanation:
When adding negative numbers the negative will be more, but if you are adding positive and negative numbers, whichever sign (+ or -) has the bigger number then that is the sign of the answer.
Additive inverses are when two numbers are added together to equal zero. Therefore if you have -3+3, it would be an additive inverse.
Hope this helps.