(1)
since both equations express y in terms of x, equate the right sides
- 2x = - 4x + 10 ( subtract 4x from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
substitute x = 5 into y = - 2x → y = - 10
solution is : (x, y ) → (5, - 10 )
(2)
equate the right sides of both equations
3x = 2x - 7 ( subtract 2x from both sides )
x = - 7
substitute x = - 7 into y = 3x → y = - 21
solution is : (x, y) → (- 7, - 21)
(3)
substitute y = - 8 into the other equation
- 8 = 6x + 22 ( subtract 22 from both sides )
- 30 = 6x ( divide both sides by 6 )
x = - 5
solution is : (x, y ) → (- 5, - 8 )
Answer:
512
Step-by-step explanation:
the number of subsets of the set {1, 2, 3, ..., 9} is : 2^9 = 512
Answer:
D
Step-by-step explanation:
when there are exponents with same bases multiplied by each other, keep the base and add the exponents
4^(3)+4^(5)=4^8
4^8 is D in this question
Answer:
D. Ant
Step-by-step explanation:
To find the speed in meters per minute, divide meters by minutes:
turtle: 6/5
snail: 4/8 = 1/2
caterpillar: 7/7 = 1
ant: 12/8 = 3/2 = 1.5
The ant traveled at a rate of 1.5 meters per minute.
