Answer:
Step-by-step explanation:
Given
Required
PQ
Since Q is between the given points, then:
This gives:
Collect like terms
Next, solve for x
We have:
This gives:
Collect like terms
Divide by 2
So:
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
Answer:
2/9
Step-by-step explanation:
Find the slope of the line with x intercept 9 and y intercept of -2
Given that the equation of the line is y = mx+b
x intercept occurs when y = 0
The coordinate of x intercept is (9,0)
y intercept occurs at x = 0
The coordinate of y intercept is (0, -2)
Slope m = y2-y1/x2-x1
m = -2-0/0-9
m = -2/-9
m = 2/9
Hence the required slope is 2/9
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