this is system of equations
2x + 5y = -1 times this one by 5 to make the y's opposite
-10x -25y = 5
10x - 25y = -5 (this is it times by 5, now add them)
__________
0 + 0 = 0
now since everything cancels and both sides are equal it has infinite solutions beaus they are actually the same line.
Answer: If we define 2:00pm as our 0 in time; then:
at t= 0. the velocity is 30 mi/h.
then at t = 10m (or 1/6 hours) the velocity is 50mi/h
Then, if we think in the "mean acceleration" as the slope between the two velocities, we can find the slope as:
a= (y2 - y1)/(x2 - x1) = (50 mi/h - 30 mi/h)/(1/6h - 0h) = 20*6mi/(h*h) = 120mi/
Now, this is the slope of the mean acceleration between t= 0h and t = 1/6h, then we can use the mean value theorem; who says that if F is a differentiable function on the interval (a,b), then exist at least one point c between a and b where F'(c) = (F(b) - F(a))/(b - a)
So if v is differentiable, then there is a time T between 0h and 1/6h where v(T) = 120mi/
Answer:
a) 5,000 b) 3,600
Step-by-step explanation:
a) there are four different slots, and for the first three slots there are a possibility for 10 different numbers and in the last slot there can only be 5 different numbers. So you get 10 x 10 x 10 x 5 which leaves you with 5,000 possibilities
b) the same thing as above but know you have fewer numbers 10 x 9 x 8 x5 which gives you 3,600 possibilities
#a
The table represents all possibilities.
- Yes its possible .
- The table may represent Aquarium fee more or least etc.
#b
The carnival always costs the least.
- No its possible but not always .
- Aquarium fee is 14.50 on the other hand carnival fee starts at 15.55.
#c
The aquarium always costs the move.
4
let the number be x
so by the question , 2x+5=13
solving this we get ,
2x=13-5
2x=8
so x=4
