The answer is TRUE <3 hope this helps
Answer:
y=-3/4x-3
Step-by-step explanation:
y=mx+b
find the y intercept=b
y=mx-3
find the slope
y=-3/4x-3
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:
I do not know if that x is a multiply sign or a variable so I'm going to answer both
If the x is a multiplication sign then the answer is -20 = -9
If the x is a variable then the answer is x = -2
Step-by-step explanation:
1/2(5 * -8) = -9
(1 * 5 * -8)/2 = -9
(5 * -8)/2 = -9
-40/2 = -9
-20 = -9
-20 ≠ -9
1/2(5x - 8) = -9
1(5x -8)/2 = -9
(5x - 8)/2 = -9
2((5x - 8)/2) = -9 * 2
2(5x - 8)/2 = -9 * 2
5x - 8 = -9 * 2
5x - 8 = -18
+8 +8
------------------
5x = -10
x = -10/5
x = -2
