Which cup fills first
2 answers:
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- Quadratic Formula:
, with a = x^2 coefficient, b = x coefficient, and c = constant.
Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:
<u>Your y-intercept is (0,-51).</u>
Next, using our equation plug the appropriate values into the quadratic formula:
Next, solve the multiplications and exponent:
Next, solve the addition:
Now, simplify the radical using the product rule of radicals as such:
- Product Rule of Radicals: √ab = √a × √b
√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34
Next, divide:
<u>The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).</u>
Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:
<u>The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).</u>
<h3><u>The function that represents the price P of the car after x years is:</u></h3>
<em><u>Solution:</u></em>
<em><u>The decreasing function is given as:</u></em>
Where,
y is future value
a is initial value
r is decreasing rate in decimal
t is time period
From given,
a = 25000
number of years = x
future value = P
Therefore,
Thus the function is found