Please i need help as soon asap y - 95 = 2(x - 35)
1 answer:
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Answer:
x = -1 <--- axis of symmetry
(-1, -9) <-- vertex
2, -4 (or, in my old precalc class we wrote our roots as (2,0) and (-4,0)) <--- roots
Step-by-step explanation:
a) Axis of symmetry equation is defined as
= x (i memorized this)
Quadratic equation form:
And our original equation:
So..
So our axis of symmetry is at x = -1,
b) now vertex point can be found by plugging this value back into our original equation.
y =
y = 1 - 2 - 8
y = - 9
So our vertex is at (-1, -9)
c) Finally, lets factor
= 0 (when finding the roots, set y = 0, because we are trying to find where we cross the x-axis)
= 0
x = 2; x = -4 <--- Roots
Answer:
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Answer:
Original price of car = $20,000
Step-by-step explanation:
Let the original price of the car be 'x' dollars.
Given:
Here, the depreciation of the car is occuring exponentially as the value depreciates to half in every four years.
Worth of car after 8 years = $5000
Value after depreciation in 4 years = Half of original value =
So, value of car after depreciation in another 4 years = Half of the value after 4 years =
Therefore, final depreciated value after 8 years is .
But, as per question, final depreciated value is $5000. Thus,
Therefore, the original price of the car was $20,000.