Consider the inequality y > a(x-4)^2, where a,h > 0. No new solutions will be added to the solution set when

a. A is increased 

b. A is decreased 

c. H is increased 

d. H is decreased 

The sum of a geometric series is 126. The first term and the common ratio are both 2. How many terms are in the series? A. 5 B. 6 C. 7 D. 8 

0=x²-7x+7

A special event organizer wants to get the word out to 100 000 teens in the area about a concert coming up in three months. By posting the event on the musician’s website, 100 teens in the area will find out about the event in the first week. Research suggests that each of those teens will tell four new teens about the event, and those friends each will tell four more teens about it. a. How many times does this pattern need to continue until 100 000 teens know about the event?

When comparing the tactile acuity of various body parts, what have you concluded about the number of receptors in the palm of your hand relative to the number of receptors on your shoulder?

Ahmed worked all summer for a bee farmer.  Ahmed was paid $400.00 the first week.  The farmer paid a $50.00 raise per week for each additional week of employment.  Ahmed worked on the bee farm for 8 weeks before his first year of university began. d. The school year is approximately 32 weeks long.  Will Ahmed have enough money if he continues to spend his savings by the same amount each week? e. What is one assumption made in order to answer part d.?

Solve the followin system algebrically.

y= 1/2(x-3)²+4

y= -1/2(x-1)²+6

The system 3x-y+4=0 and x²-8y-1=0 will have

a. o solutions

b. 1 real solution

c. 2 real solutions

d. an infinte number of real solutions

A famous fractal called the Sierpinski Triangle starts with one black triangle.  The triangle is then cut into four equal pieces, and the three outer triangles are coloured black and the inner triangle is white.  Each of the three black triangles is again divided into four equal triangles, and the three outer triangles are shaded black. a. Suppose the area of the first triangle is 100 cm2.  Determine the black shaded area in the second triangle.  Do the same for the third triangle. b. Write the general term describing the shaded area of the nth Sierpinski Triangle.

Ahmed worked all summer for a bee farmer.  Ahmed was paid $400.00 the first week.  The farmer paid a $50.00 raise per week for each additional week of employment.  Ahmed worked on the bee farm for 8 weeks before his first year of university began. a. Write out the first three weeks of earnings.  Is this an arithmetic or geometric sequence?  Justify. b. Calculate how much Ahmed earned over the 8 weeks of summer.