<h3>
Answer: C) 4</h3>
All points on the blue curve f(x) are shifted up 4 units to get corresponding points on the red curve g(x). For example, the point (0,-3) moves up 4 units to (0,1).
g(x) = f(x)+k
g(x) = f(x)+4
The <em>correct answers</em> are:
It would take 5 months and she would save $250.
Explanation:
Let m be the number of months.
For the first way of saving, $200 up front and $10 each month, the expression would be
200+10m.
For the second way of saving, $100 up front and $30 each month, the expression would be
100+30m.
Setting them equal gives us the equation
200+10m = 100+30m
Subtract 10m from each side:
200+10m-10m = 100+30m-10m
200 = 100+20m
Subtract 100 from each side:
200-100 = 100+20m-100
100 = 20m
Divide both sides by 20:
100/20 = 20m/20
5 = m
It would take 5 months.
$200 up front and $10 each month for 5 months:
200+10m
200+10(5)
200+50
250
She would save $250.
Answer:
Step-by-step explanation:
Given:
x = 2cost,
t = (1/2)arccosx
y = 2sint
dy/dx = dy/dt . dt/dx
dy/dt = 2cost
dt/dx = -1/√(1 - x²)
dy/dx = -2cost/√(1 - x²)
Differentiate again to obtain d²y/dx²
d²y/dx² = 2sint/√(1 - x²) - 2xcost/(1 - x²)^(-3/2)
At t = π/4, we have
(√2)/√(1 - x²) - (√2)x(1 - x²)^(3/2)
As function is = 4x
so
4x=-x+5
5x=5
x=1
Answer:
Zack will need 17 1/2 ft of fence
Step-by-step explanation:
To calculate this we will first pass the numbers to complete fractions
5 1/4 ft = 21/4 ft
3 1/2 ft = 7/2 ft
We have to add 2 times each side
21/4 ft + 21/4 ft + 7/2 ft + 7/2 ft =
Now we have to pass all the fractions to the same denominator
21/4 ft + 21/4 ft + 14/4 ft + 14/4 ft =
70/4 = 17 1/2
Zack will need 17 1/2 ft of fence
