The value of the Nintendo after 35 years is $2455
Since the formula f(x) = 3x² - 40x + 180 predicts the value of the Nintendo x years after 1986.
Since we require the value in 2021, x years after 1986 is 2021 - 1986 = 35 years.
Substituting x = 35 into the equation, we have
f(x) = 3x² - 40x + 180
f(x) = 3(35)² - 40(35) + 180
f(x) = 3(1225) - 40(35) + 180
f(x) = 3675 - 1400 + 180
f(x) = 2275 + 180
f(x) = 2455
So, the value of the Nintendo after 35 years is $2455
Do you think this is a realistic prediction of the value of that Nintendo?
This is not a realistic prediction for the value of the Nintendo, because, it is too high.
Learn more about quadratic equations here:
brainly.com/question/13704125
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
<h3>How to determine the characteristics of the roots of a quadratic equation by discriminant</h3>
Herein we have a <em>quadratic</em> equation of the form a · x² + b · x + c = 0, whose discriminant is:
d = b² - 4 · a · c (1)
There are three possibilities:
- d < 0 - <em>conjugated complex</em> roots.
- d = 0 - <em>equal real</em> roots (real and rational root).
- d > 0 - <em>different real</em> roots (real and irrational root).
If we know that a = 3, b = 7 and c = - 2, then the discriminant is:
d = 7² - 4 · (3) · (- 2)
d = 49 + 24
d = 73
The <em>quadratic</em> equation 3 · x² + 7 · x - 2 = 0 has a <em>positive</em> discriminant. Thus, the expression has two <em>distinct real</em> roots (<em>real</em> and <em>irrational</em> roots).
To learn more on quadratic equations: brainly.com/question/2263981
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Answer:
3
Step-by-step explanation:
Let x = # of boxes of felt-tip pens.
(x)(3.44)+(4x)(4.41) = 63.24
21.08x = 63.24
x = 3
Because x = 3, the man bought 3 boxes of felt-tip pens and 12 boxes of ballpoint pens.
