Which sequence below represents an exponential sequence? A) {2, 6, 10, 14, 18,...} B) {3, 5, 9, 16, 24,...} C) {4, 8, 24, 96,...
Flura [38]
Answer:d
Step-by-step explanation:
Clearly from observation option D is the exponential sequence
256,64,16,4 is decreasing exponential function
for other option they simply follow an AP
2,6,10,14,18
common difference d=4
Answer:
Almond: $7/4 per pound
Jelly Bean: $ 11/4 per pound
Step-by-step explanation:
A: almond
J: jelly bean
3A + 5J = 19 .... multiply 9 each side
27A + 45J = 171 .....(1)
9A + 7J = 35 .....multiply 3 each side
27A + 21J = 105 ....(2)
(1) - (2) 24J = 66
J = 66/24 = 11/4
3A + 5 x 11/4 = 19
3A = 21 / 4
A = 7/4
Answer: Choice B
rose bush: $10, shrub: $4
=========================================
Work Shown:
x = cost for one rose bush
y = cost for one shrub
Rob's equation: 8x+5y = 100
Amy's equation: 8x+8y = 112
Subtract the equations straight down (match terms)
8x - 8x = 0x = 0, x terms go away
5y-8y = -3y
100-112 = -12
After those three subtractions, we end up with this new equation: -3y = -12
That equation solves to y = 4 when you divide both sides by -3
Use this value of y to find x
8x+5y = 100
8x+5(4) = 100 ... replace y with 4
8x+20 = 100
8x+20-20 = 100-20 .... subtract 20 from both sides
8x = 80
8x/8 = 80/8 ... divide both sides by 8
x = 10
We end up with x = 10 and y = 4 pairing up. The two equations, when graphed, cross at the location (10,4). One rose bush costs $10 and one shrub costs $4.
