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Prove that 2n>4n for n≥5.
The price (in rands) in June of 1 kg packet of laundry in kwaDukuza is shown for each 5 years 2016 - 17.8, 2017 - 29.6, 2018 - 41.1, 2019 - 46.3, 2020 - 46.5 find the percentage increase in the price between each period
How would a constructivist teacher explain 1/3 ÷ 1/3
The cost per student to attend a school trip is $10.00. At this price, 2000 students will go on the trip. A survey indicates that for every $1 they would lose 100 students. What price per student would result in the greatest revenue.
1. Describe two different situations that could be modelled by an exponential function.
2. Clearly define all variables in the relationship.
3. Interpret the growth or decay factor and the initial amount, which cannot be 1.
4. Explain why this type of function makes sense as a model for these real applications, by referring to key features of this function.
5. Your justification should also include reference to at least two of graphical, numeric, and/or algebraic models.
Task:
Given these key features: f(0) = 5 leading coefficient is -2 zeroes at -3, -1, 4
Create two possible algebraic models, using two different degrees of polynomial functions. Express both in standard and factored form.
Mrs. Vessell's students created some beautiful tessellations and she wants to put them up in her room. If she has 12 tessellations and wants to line them up across the back of her room but only has room to put up 6, in how many different ways can she display the works of art?
A study showed that the ratio of the number of people who get their news from print sources to the number of people who get their news from social media sources is 3:7. Based on the ratio, how many people in a town of 900 people get their news from social media sources?
As part of a show, mike and Susan each jump from different platforms onto a trampoline below. Mike's height about the trampoline h, in meters, after t seconds is modelled by h=-3(t+1)(t-2). Sun's height above the trampoline is modelled by h=-4(t-1)^2+7. Who is jumping from the higher platform? how much higher?
a quadratic relation has zeros at -1 and 3, and a y-intercept of -18. Determine the equation of the relation in vertex form
