<h3>Substitute x=3 in y=-x²+6x-15</h3>
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<em>Vertex:</em><em> </em><em> </em><em>(</em><em>3</em><em>,</em><em>-</em><em>6</em><em>)</em></h2>
<span>The northern California study with a margin of error of 3.2%.</span>
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: Reid scored 1 and Maria scored 5.
Step-by-step explanation:
5 x 2 = 10
10-4= 6
5 + 1 = 6
Answer:
I'll probably come back and do this later.
Step-by-step explanation:
<u>How to Round:</u>
If the number following the number you're going to round up is 5 or above, (5, 6, 7, 8, or 9), then round up. (E.X. 2<u>9</u> rounded up is 30. Since 9 is above 5, you will round up.
On the other hand, if the number following the number you're going to round is 4 or below, (4, 3, 2, or 1), you don't round up, instead you keep it the same, and if they're are decimals, you turn the following numbers to 0s. (E.X. 32.4536 rounded to the nearest hundredth (32.45<u>3</u>6) is 32.45. Since 3 is less than 4, you're not going to round up. The number in the hundredth's place stays the same (5), and the following rest turn to 0s. Leaving you with 32.45
Let me know if this helped. :)
