Answer:
mid point of AB (0.5 , 0)
Step-by-step explanation:
2x + 5y = 1 2x = 1 - 5y
y = 2xy+ 5 = (1 - 5y)*y + 5 = y - 5y² + 5
y-y = y - 5y² + 5 - y = - 5y² + 5
0 = - 5y² + 5
5y² = 5
y² = 1
y = 1 or y = -1
if y = 1 x = 1/2 (1 - 5) = -2 .... point A (-2 , 1)
if y = -1 x = 1/2 (1 + 5) = 3 ..... point B (3 , -1)
mid point of AB (x' , y') : x' = 1/2 (x₁ + x₂) = 1/2 (-2 + 3) = 1/2
y' = 1/2 (y₁ + y₂) = 1/2 (-1 + 1) = 0
Answer:
P could stand for anything
Step-by-step explanation:
In this case its just the variable
Five kids can be given cookies in (10 + 5 - 1) C (5 - 1) = 14 C 4 = 1,001 ways.
Answer:
Most likely it's B because binary numbers are only 0 and 1 which are two numbers
Answer:
13 months
Step-by-step explanation:
x is the number of months
first phone:
f(x) = 55x + 100
second phone:
g(x) = 51x + 150
now set up the inequality
g(x)<f(x)
51x + 150 < 55x + 100
Solve the inequality:
51x + 150 < 55x + 100
(get everything on the correct sides... combine the like terms)
51x - 55x < 100 - 150
-4x < -50
divide both sides by -4 (don't forget to flip the inequality sign when dividing by a negative number.)
x > 50/4
x > 12.5
round up to 13
