A children's wind-up car toy travels a distance, d inches, as modeled by the function d=12 +8t where t is the number of seconds
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Answer:
Candice ran 1/6 of a lap further than Chris.
Step-by-step explanation:
we know that
To find out how much further Candice runs than Chris, subtract the distance Chris runs from the distance Candice runs
so
therefore
Candice ran 1/6 of a lap further than Chris.
The minimum cost to produce the product is $7.
What are functions?
- A function from a set X to a set Y allocates exactly one element of Y to each element of X.
To determine the minimum cost:
We have to determine the minimum cost of producing this product.
Since .
Now, consider the equation .
Dividing the above equation by 5, we get
Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.
Since the coefficient of 'x' is 14, and half of 14 is '7'.
So, adding and subtracting from the above equation.
Now, we have to determine the minimum cost to produce the product.
Since .
Now, let f'(x)=0
Therefore, x=7
Now, consider which is greater than 0.
Therefore, x= 7 is the minimum cost.
Know more about functions here:
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We're going to "cut" the repeating part here in a few steps. First, we're going to put the number in a variable:
Next, to get rid of the negative, we can multiply either side by -1 to get
Now, we won't actually use this -x directly; instead, we want to create two new values, one by multiplying either side by 10:
and the other by multiplying either side by 1000:
Next, we can get rid of the repeated part of the number by subtracting -10x from -1000x:
And finally, we can divide either side of the equation by -990 to find that