Answer:
.824
Step-by-step explanation:
Answer:
4 Chips $12 and 6 cans of soda $12.
Step-by-step explanation:
Each chip cost $3*4=12 and Soda cans cost $2*6=12
12+12=$24. You can also figure a few of different ways, this is one of them.
Answer:
<h2>
The standard error of the mean is 7.56</h2>
Step-by-step explanation:
The standard error of the mean is defined as the ratio of standard deviation to the square root of the sample size of a data. The standard error of the mean is mathematically expressed as shown below;
X is the standard error of the mean
is the standard deviation
n is the sample size.
Given;
On substitution into the formula we have;
X ≈ 7.56
Answer:
B. Is linear
Step-by-step explanation:
if you graph it it’s a straight line going up
Hope this helps! ;-)
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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