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imaboss10986
16.12.2020 •
Mathematics
Which of the graphs below would result if you made the leading term of the following function negative? F(x) = 2x4 + 2x + 2
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Ответ:
Part a : Slope is 40 and it interpret the rate of increase of balance in dollars in the account per day.
Part b : y - 720 = 40(x - 3) ... Point-slope form. 40x - y +600 = 0 ... Standard form. g(x) = 40x + 600 ... Slope-intercept form.
Part c : $880
Step-by-step explanation:
The table of values represents a linear function g(x), where x is the number of days that have passed and g(x) is the balance in the bank account:
x g(x)
0 $600
3 $720
6 $840
Part a : Therefore, the slope of the function will be and it interprets the rate of increase of balance in dollars in the account per day.
Part b : If we denote g(x) = y, then the equation that models the table will be
⇒ y - 720 = 40(x - 3) (1) Point-slope form.
⇒ 40x - y +600 = 0 (2) Standard form.
⇒ y = 40x + 600
⇒ g(x) = 40x + 600 (3) Slope-intercept form.
Part c : From equation (3), the balance in the account after 7 days will be
g(7) = 40(7) + 600 = 280 + 600 = 880 dollars. (Answer)