Answer:
X = {8n – 7n – 1 : n ϵ N}
Y = {49 (n –1) : n ϵ N} — (1) [all terms divisible by 49]
X = {8n – 7n – 1}
= (1 + 7)n – 7n – 1
= 1 + nC1 7 + nC2 72 + ….. + nCn 7n – 7n – 1
= nC2 72 + …… + nCn 7n
= 49 [nC2 + nC3 7 + …. nCn 7n-2] — (2)
From (1) and (2),
X is divisible by 49.
Y has all multiples of 49.
X ⊂ Y
Answer:
4 inches per second
Step-by-step explanation:
Speed = distance/time
Given
Distance = 20 feet
12 inches = 1 foot
X inches = 20 feet
X = 20 x 12 = 240 inches
Time = 1 minute = 60 secs
Therefore
Speed = 240/60
= 4 inches per second
Answer:
A
Step-by-step explanation:
The y intercept is simply where the line intercepts the y intercept in this case it's (0,2)
An easy way to slope is rise over run.
Simply find a point on the graph and count how many times you have to go up,down,left, or right to get to the next point
in this case it's 3
Since the slope is going down we know it will be negative.
The first equation uses the first and second coupons. the coupon (1-y)40 will take y% off of the dress pants so the answer is 40(1-y)
Answer:
The 2 numbers are 512.8 and 487.2.
Step-by-step explanation:
Let the numbers be x and y, then:
x + y = 1000............(1)
x^2 - y^2 = 25600
(x + y)(x - y) = 25600
1000(x - y) = 25600
x - y = 25.6............(2)
Adding (1) + (2):
2x = 1025.6
x = 512.8
so y = 1000 - 512.8
y = 487.2.
