This year is yer number 2 , so t = 2
which means that the next year will be t = 3
So, Epsilon-delta should order :
42000 (1.3 ^ (3/2))
= 62,254 Tags
Hope this helps
Answer:
f(-1) = 2
f(0) = 3
Step-by-step explanation:
f(a) = 3a - a²
f(4)= 3*4-4²= -4 ⇒ correct
f(3)= 3*3-3²= 0 ⇒ correct
f(-1) = 3*(-1)-(-1)²=-3+1= -2 ⇒ incorrect
f(0) = 3*0-0²= 0 ⇒ incorrect
f(-5) = 3*(-5)-(-5)²= -15-25= -40 ⇒ correct
Answer: 2 cups
Step-by-step explanation: Olivia spends 4$ and nothing more. 1$ is her profit that can continue to gain and can be represented as 1x or x. x-4 is the equation to represent her profit. Nathan spends 5$ and 0.50$ is his profit which can be shown as 0.5x. 0.5x-5 is the equation to represent his profit.
Set those two equations equal to each other.
Isolate x.
Solve for x.
Since x represents the amount of cups sold, you cannot have a negative amount of cups sold. Therefore, Olivia and Nathan must sell 2 cups to make the same profit.
Answer:
(1, - 2 )
Step-by-step explanation:
Given the equations
9x + 2y = 5 ( subtract 9x from both sides )
2y = 5 - 9x ( divide terms by 2 )
y = 2.5 - 4.5x → (1)
7x - 3y = 13 → (2)
Substitute y = 2.5 - 4.5x into (2)
7x - 3(2.5 - 4.5x) = 13
7x - 7.5 + 13.5 = 13 , that is
7x + 6 = 13 ( subtract 6 from both sides )
7x = 7 ( divide both sides by 7 )
x = 1
Substitute x = 1 into (1) and evaluate for y
y = 2.5 - 4.5(1) = 2.5 - 4.5 = - 2
solution is (1, - 2 )
If it takes 5 builders hours to build a wall, it will take 2 builders hours to build an identical wall
The time taken for 5 builders to build the wall = hours
The time take for 5 builders to build the wall = 3.5 hours
Time taken for 1 builder to build an identical wall =
5 x (Time taken for 5 builders to build the wall)
Time taken for 1 builder to build the wall = 5 x 3.5
Time taken for 1 builder to build the wall = 17.5 hours
Time taken for 2 builders to build an identical wall = (Time taken for 1 builder)/2
Time taken for 2 builders to build an identical wall = 17.5/2
Time taken for 2 builders to build an identical wall = 8.75 hours
Time taken for 2 builders to build an identical wall = hours
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