Polynomial Functions
What is the linear formula and the vertex formula?
Linear formula - y = mx + b
Vertex formula - y = a(x – h)2 + k
Evaulate and express in its simpilest form
(6/4) x (2/6)
(1/2)
Which b value is increasing and which is decreasing?
(8/9) and (7/4)
(8/9) - decreasing
(7/4) - increasing
How many x interecpts are in a logarithmic function and where does it intercept?
1 x intercept and it intercepts at 1
Nahzai works for the regiment recruiting people. For ever person he gets his salary increases. The appropiate regression equation for his salary is y=1.80x+54. This month he recruity 24 people, what was his salary?
$97.20 was Nahzai's Salary for that month
y = a(x – h)2 + k
What does h and k represent in this
The purpose of the h and k in the equation is it is the vertex (h,k)
Simplify: (40x2+16x)/(12x)
(10x+4)/(3)
Solve alebraically
23x=128
x=(7/3)
Express as exponential expression
log7 89 = y
89=7y
Nahzai was training for the upcoming Summer 2020 Running and Swimming Race. Nahzai cycled for 80km and than went for a run for 10km. Later he realized that his average cycling speed is 4 times faster. If he takes 7 hours to finish, what is his average swimming speed rounded to the nearest tenth?
4.3km/h
If a function has a degree of 3 what type is it?
Cubic Function
Simplify
(15x2(3-x))/(5x(x-3))
y=a(b)x
a value
Solve agebraically (to the nearest hundredth)
log 16 - log 4
0.60
Nahzai invested $2000 every month at 4% every 3 years. What is the end result if interest is compounded?
$2251.01 end result
If given set data, how to find the regression function that best models linear equation? Include all steps.
Plot the numbers in the calculator by pressing Stat - edit
Next press stat again and go to Calc - LinReg
Go to Store RegEQ: and press Vars - Y-Vars - Function and press Y1
Simplify and state the restrictions
(6x(4x-1))/(4x2(x+8)) * (12(8+x))/(2x)
NPVs= 0, -8
(12x-3)/(2x2)
Nahzai becomes an artist and one of his famous paintings increases by 6% per year. It's original price is 10000. it can be represented by the exponential function V=V0(1.06)t. How many years will it take for it to double?
About 12 years for the profit to double.
Solve algebraically rounding to the nearest hundredth (using log)
40 = 2(4)x+6
3.83
Nahzai goes swimming at Admiralty House. The upstream has a ph of 5.3 and a downstream of 6.7. How much more acidic is the upstream than the downstream?
About 25 times more acidic!!!!
Nahzai is trying out for the American football team. He throws a ball and the regression equation for this data is h(t) = -2.30t2 + 30.00t + 0.09 where his height is in meters. His maximum height has to be over 33. Did he make it? What is his maximum height?
Yes he made it. His height is 36 meters.
Simplify and state the NPVs
(6x2y+26xy+24)/(3x+4)(2x+6)
NPVs - 0, (-4/3)
((3x2+4y) + 13xy +12)/((3x+4)(x+3)
The half life of uranium-232 is 42.8 years How much of a 100-gram sample is present after 175 years rounded to the nearest tenth? The functon used is A(t)=100(1/2)(t/h)
84.4 grams
Nahzai is in chemistry class and does two expirements. One solution has a ph of 4.7 and his other one has a ph of 5.4. How much more acidic is the first one than the second one?
About 6 times
Iodine - 241 has a half life of 10.2. Determine the number of days it would take for 100 grams to reach 14%?
The 29 day