a = 3, b= - 4 and c = - 4
expand the left side using FOIL
(2x + 1)(ax + b) = 2ax² + 2bx + ax + b = 2ax² + x(2b + a) + b
compare the coefficients of expressions on left and right sides.
compare 2ax² + x(2b +a) + b with 6x² - 5x + c
coefficients of x² terms → 2a = 6 ⇒ a = 3
coefficients of x terms → 2b + a = - 5 → 2b + 3 = - 5 → 2b = - 8 ⇒ b = - 4
constant terms c = b = - 4
X = smaller number, y = larger number
x + y = 15.....x = 15 - y
4x = 2y - 60
4(15 - y) = 2y - 60
60 - 4y = 2y - 60
60 + 60 = 2y + 4y
120 = 6y
120/6 = y
20 = y <==== larger number is 20
x + y = 15
x + 20 = 15
x = 15 - 20
x = - 5
Answer:
You would plot the following points, remembering that they’re in the form (x,y) = (time, height):
(1,35) (2,60) (3,92) (4,120) (5,175)
The ordered pairs would be closer together, and there would be 4 times more of them if you were to measure every 15 seconds instead. You would have a line with more points that were closer together.
They are all averages
mean=average 4+6=10, 10 divded by 2= 5, the mean is 5
median= middle number, 5 6 7, 6 is the median
mode= most repeated number, so 4,4,4,4,4,4,4,5.5,6 4 is the mode
