The given function is
f(x)= 0.2 x²
Since f(x) will be defined for all real values of x.
So, Domain of f(x) will be ( x| x is a real number.)→This is set builder notation.
Finding the inverse of f(x):
y = 0.2 x²
→ x²= 5 y
→x =
→ → Inverse of f(x)
Replacing x by y and y by x,we get inverse of the given function
y =
→ →Domain x ≥ 0, x∈[0,∞]
Graph of function and its inverse are shown below.
Answer:
The perimeter is 43.6 cm
Step-by-step explanation:
In this question, we are tasked with calculating the perimeter of the sector.
Firstly, we define what a sector is. A sector is part of a circle which is is blinded by two radii and an arc. Hence we say a sector contains two radii.
Thus, to calculate the perimeter of the sector, we need the length of the arc added to 2 * length of the radius
Let’s calculate the length of the arc.
Mathematically, this is theta/360 * 2 * pi * r
where theta is the angle subtended at the middle of the circle which is 135 according to the question, and our radius is 10cm
Thus, we have
135/360 * 2 * 22/7 * 10 = 23.57 cm
Adding two radii to this, we have;
23.57 + 2(10)
= 23.57 + 20 = 43.57 = 43.6 cm to 1 decimal place
Answer:
The answer is false
Step-by-step explanation:
22 quarts is 5.5 gallons
Answer:
20
Step-by-step explanation:15-5=10 10 x 2 =20
Y - y1 = m(x - x1)
slope(m) = -3/7
(5,8)...x1 = 5 and y1 = 8
now we sub
y - 8 = -3/7(x - 5) <===