(a) The equation of the tangent line can be written as
.. 3(x +6) -4(y -8) = 0
.. 3x -4y = -50
.. y = (3/4)x +25/2 . . . the equation of the tangent line
(b) The point of tangency will be the intersection of the circle with the perpendicular line through the circle center, y = (-1/5)x. A graphing calculator shows that point to be
.. (9.81, -1.96)
Assuming the velocity is as written,
a = 3(2) = 6
If you meant 3(2t+1)⁰.⁴, then
a = 2.4/(2t+1)⁰.⁶
as usual,
s = 25 + 1/2 at²
= 25 + 3t²
or
= 25 + 1.2(2t+1)¹.⁴
Answer:
Step-by-step explanation:
Suppose the cost C(x), to build a football stadium of x thousand square feet is approximated by C(x) = 7,250,000/x + 60. Given the function, we can substitute values for x to determine the cost of a particular size of stadium or we can substitute values for C(x) to determine the number of square feet.
if the cost of the stadium was $8,000, the, we would determine the size of the stadium, x by substituting x $8,000 for C(x). It becomes
8000 = 7250,000/x + 60
8000 - 60 = 7250000/x
7940 = 7250000/x
7940x = 7250000
x = 7250000/ 7940
x = 913 ft^2
Answer:
domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
Step-by-step explanation:
We are given;
Total students for the fruit cup party = 18
Total teachers for the fruit cup party = 2
Cost of each fruit cup =$ 3
Delivery charge = $ 10
Now, the total number of people attending the party = Total number of students + Total number of teachers
Thus;
Total number of people attending party = 18 + 2 = 20
Since cost of each fruit cup is $3.
Thus, for 20 fruit cups, the function is;
f(x) = 20x where x is cost of each fruit cup.
It means the cost of 20 fruit cups = $3 × 20 = $60
Thus, domain is x = 3
Thus domain means that for every fruit cup costs $3
Range is f(20) = 60
