Socks cost each $3 a pair and scarves cost $5 each. Natalie Attired buys some of each. Let x be the number of pairs of socks and
1 answer:
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Answer:
Step-by-step explanation:
value after five years = $18,000×(1-0.12)⁵ = 18,000×0.88⁵ = $9,499.17
:::::
The value drops below $2,000 in the 17th year.
Answer:
The value of x is 66.
Step-by-step explanation:
The median of a data set is the term that separates the lower half of the set from the upper half.
In a set with even cardinality, the median is given by the mean of it's two middle terms.
In this question:
Cardinality: 8
Middle terms: 4th and 5th, which are x - 5 and x + 1.
The median is 64.
This means that:
The value of x is 66.
So the easiest method to find the vertex (the minimum in this case) to do this is to find the axis of symmetry, then plug it into the function.
Firstly, the equation to find the axis of symmetry is , with b = x coefficient and a = x^2 coefficient. The equation equation can be solved as such:
Since the vertex falls on the axis of symmetry, we know that the x-coordinate of the vertex is -2.5. Now to solve for the y-coordinate, plug in x with -2.5 and solve as such:
Now putting it all together, our minimum value (vertex) is (-2.5,-12.25).