Answer:
Step-by-step explanation:
<u>The second picture has:</u>
- 1 + 4 = 1² + 4
- 4 + 4 = 2² + 4
- 9 + 4 = 3² + 4
<u>The pattern is:</u>
Correct option is A
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:
3 saves in the second game.
Step-by-step explanation:
The total number of saves in both the games is 11.
The number of saves in first games is 8.
The number of saves in second game = Total number of saves - Number of saves in first game
The number of saves in second game = 11 - 8
Therefore the number of saves in the second game = 3 saves
Answer is C. 8, 3, 6
To answer this, you must know the Triangle Inequality Theorem.
The two shortest sides when added together, must be greater than the longest side.
A. 2 + 4= 6 which can't work since it equals the longest side of 6
B. 4 +2=6 The sum would be less than 8, which doesn't work
C. 6 +3 = 9 the sum is greater than 8, which makes it a triangle
D. 3 +8 = 11 11 is less than 12
Answer:
The solution is (2,6)
Step-by-step explanation:
Let
x-----> the number of hours to change a fuel injection unit
y-----> the number of hours to change a transmission
we know that
5x+10y=70 -----> equation A
8x+8y=64 -----> equation B
Solve the system of equations by graphing
Remember that the solution of the system of equations is the intersection point both graphs
The solution is the point (2,6)
see the attached figure
