Answer:
1999
Step-by-step explanation:
y = 0.2313(y - 1992)^2 + 2.600(y - 1992) + 35.17
verify with known data point
y = 0.2313(2004 - 1992)^2 + 2.600(2004 - 1992) + 35.17
y = 0.2313(12)^2 + 2.600(12) + 35.17
y = 27.9873 + 28.6 + 35.17
y = 99.6772 which verifies our equation
65 = 0.2313x² + 2.6x + 35.17
0 = 0.2313x² + 2.6x - 29.83
quadratic formula
x = (-2.6 ±√(2.6² - 4(0.2313)(-29.83))) / (2(0.2313))
x = (-2.6 + 5.86) / 0.4626 = 7.05 years
7.05 = y - 1992
y = 1999.05
F(x) has only one x-intercept when x=0
g(x)=-x^2-6
g(x)=-(x^2+6) so g(x) will have no x-intercepts as its maximum value will be -6.
g(x) is f(x) reflected about the x axis and shifted downwards by 6 units.
We have been given that you went to Walmart and spend $75. Of the total bill, $45.50 included non-taxable items.
Let us find the amount of taxable items by subtracting amount of non-taxable items from total bill.
We have been given that the rate of tax is 7.5% to the taxable items. To find the amount of tax, we will find 7.5% of $29.50.
Final amount of bill would be amount of bill plus amount of tax.
Therefore, final amount of bill would be 
.
Answer: The slope is 4x.
Step-by-step explanation: First, subtract 4y from both sides to get 16x-4y=1. Next, subtract 16x from both sides to get -4y=-16x+1. Finally, divide all terms by -4 to get y=4x-0.25. The slope is represented by 4x.
