(a). 8x + y = 20, where (b). y = x2 - 2x + 4
So where y is in equation (a), substitute in the value of y in (b).
8x + (x2 - 2x + 4) = 20
8x + (4) = 20
Get rid of the 4 on both sides (since what you do to one side, you must do to the other)
8x + 4 - 4 = 20 - 4
8x = 16
Get rid of the 8 to leave x on its own
8x ÷ 8 = 16 ÷ 8
x = 2
So now that you have x, find y but substituting in the value you just found (2) into one of the starting equations.
8x + y = 20 where x is 2.
8(2) + y = 20
16 + y = 20
Minus 16 from both sides
y = 20 - 16 = 4
So x is 2 and y is 4
Answer:
Pants cost $20 and tee-shirts $10.
Step-by-step explanation:
For Sam 3t + 2p = 70
For Jessica 4t + p = 60
Take 2 times Jessica's equation and subtract Sam's
8t + 2p = 120
3t + 2p = 70
5t = 50
t = 10
3(10) + 2p = 70
30 + 2p = 70
2p = 40
p = 20
The median is 4.
Hope this helps
8x^8=2*2*2*x*x*x*x*x*x*x*x
28x^4=2*2*7*x*x*x*x
GCF is the common group
GCF=2*2*x*x*x*x
GCF=4x^4
Answer: C. 625 and 81
Step-by-step explanation: A relatively prime pair is a pair in which in both numbers given, the only number that can go into each number is one. In 112 and 36, we know 2 can evenly go into each number because they both end in a positive number (112/2 is 56 and 36/2 is 18.) This means A is incorrect. As for B, 11 can evenly go into each number, leaving you with 25 and 7. B is incorrect. And then there's D. 5 can go into each number giving you 160 and 19. D is incorrect.
C is correct because the only numbers that can go evenly into 81 is 1, 3, 9, 27, and 81. None of these numbers, except one can go into 625 also.
