The hourly temperature at Portland, Oregon, on a particular day is recorded below. 1 A. M. 2 3 4 5 6 7 8 9 10 11 12 Noon 46° 44° 43° 41° 40° 40° 41° 43° 46° 52° 65° 69° 1 P. M. 2 3 4 5 6 7 8 9 10 11 12 Midnight 72° 74° 75° 75° 77° 75° 74° 70° 62° 55° 51° 48° a. Find the amplitude of a sinusoidal function that models this temperature variation. b. Find the vertical shift of a sinusoidal function that models this temperature variation. c. What is the period of a sinusoidal function that models this temperature variation? d. Use t = 0 at 5 P. M. to write a sinusoidal function that models this temp. variation. e. What is the model’s temperature at 10 A. M.? Compare this to the actual value?

linear

step-by-step explanation:

answer: integers are just whole numbers: positive, negative, and zero.

i = {-∞, -2, -1, 0, 1, 2, 3, ∞}

let x = 1st integer

let y = 2nd integer

x = 3y + 17   {equation 1}

xy = -24         {equation 2}

substitute 3y+17 in place of x n equation 2

and solve for y.

(3y+17)y = -24

3y2 + 17y = -24

3y2 + 17y + 24 = 0

from quadratic equation:

y = [-17±√(172-4(3)(24))]/(2(3))

y = (-17 ±√1)/6

y = (-17+1)/6   or     y = (-17-1)/6

y = -16/6           or     y = -18/6

y = -2 2/3         or   y = -3

since we are dealing with

y = -3

x = 3y+17 = -9+17 = 8

the integers are -3, 8

step-by-step explanation:

0.61 has 2 decimal places, so we put the decimal digits of 0.61, 61 over 1 followed by the number of zeroes equal to the number of decimal places, 

2:     61/1 = 61/100.