Mathematics, 15.10.2019 01:50, totallybriii

The value in dollars of a new car is modeled by the function v (t)=125t^2- 3,000 t + 22,000, where t represents the number of years since it was purchased. determine the age of the car when its value is at a minimum and maximum.

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Obviously this is a parabola since x is squared. since the coefficient of x^2 is positive that means that the ends of the parabola go up. this means that the vertex is the lowest point in the graph. to find the x value ofnthe vertex we use the the quadratic equation but take out the square root part. so:
x = -b/2a
b = -3000
a = 125

x = -(-3000) / (2 * 125)
x = 3000 / 250
x = 12

plug 12 into equation for x. I put x instead of t. But but it is the same

V = 125 (12)^2 -3000 (12) + 22000
V = 4000.

So so low value is 4000 after 12 years.

I am not sure about a max value because the end of the parabola goes up forever. if there is a stipulation that once the car hits 12 years and is at its minimum then the car value never changes, then the max value would be at the 0 year at the time of purchase. And that would make it 22000. But I will not say max for sure because I do not see a stipulation

answered: Guest

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

$4/2 = 2\\7/3.5=2\\8/4=2\\10/5=2$

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

$y=\frac{x}{2}$

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.

answered: Guest

Move the decimal behind it