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alukav5142 [94]
3 years ago
15

Please answer this...​

Mathematics
1 answer:
Romashka [77]3 years ago
7 0
2 in the first column and 5 in the second column
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I need help!
arsen [322]

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

#SPJ1

7 0
1 year ago
Evaluate y = 5x + 1 when x= 2
mojhsa [17]

Answer:

The answer is 11, hope i helped!

8 0
3 years ago
Evaluate each expression when y = 5.<br> a 12+ 4<br> b. 4(+3)
kati45 [8]

Answer:

Step-by-step explanation:

it's ambiguous.

where do we replace the y values in either a or b?

kindly, write down the question well.

5 0
3 years ago
Subject: Pre-algebra
charle [14.2K]

Answer:

1: true

2: false

Step-by-step explanation:

1: congruent = equal while supplementary = 180-degrees

2: congruent angles= vertical angles, corresponding angles, alternate interior angles, & alternate exterior angles

8 0
2 years ago
Read 2 more answers
Evaluate and simplify <br><br> F(x)=3-6x^2 for f(x+3)
Olegator [25]

Insert x + 3 instead of x into the equation of the function f(x):

f(x) = 3 - 6x²

f(x + 3) = 3 - 6(x + 3)²

use (a + b)² = a² + 2ab + b²

= 3 - 6(x² + 2(x)(3) + 3²) = 3 - 6(x² + 6x + 9)

use distributive property

= 3 + (-6)(x²) + (-6)(6x) + (-6)(9) = 3 - 6x² - 36x - 54

combine like terms

= -6x² - 36x - 51

<h3>Answer: f(x + 3) = -6x² - 36x - 51</h3>
4 0
3 years ago
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