<span> At the beginning there are 3 dimes out of 10 coins:
P(first coin is a dime) = 3/10
After that there are 3 nickels out of 9 remaining coins:
P(second coin is a nickel) = 3/9 = 1/3
P(dime, then nickel) = P(first coin is a dime) x P(second coin is a nickel)
= 3/10 x 1/3
= 1/10
Answer:
1/10 . if im wrong im sorry </span>
<span />
Answer:
v = -3
Step-by-step explanation:
-8(v + 7) = 3v - 23
Expand.
-8v - 56 = 3v - 23
Add -3v and 56 on both sides.
-8v - 56 + 56 - 3v = 3v - 23 + 56 - 3v
-8v - 3v = -23 + 56
Combine like terms.
-11v = 33
Divide -11 into both sides.
-11v/-11 = 33/-11
v = -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:x=10
Step-by-step explanation:x x2
The answer is the first page, first graph
