Multiply 7/8 and 9/10
2 answers:
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The function has an inverse that is also a function is g(x) = 2x – 3.
The correct option is A.
<h3>Inverse function;</h3>The inverse of a function is the equation where x and y have switched places.
We have to determine
Which function has an inverse that is also a function?
If when you solve for y again, the function passes the vertical line test, the inverse if a function.
1. Here g(x) = 2x - 3 has inverse x = 2y - 3 which simplifies to;
This is a line and is a function;
2. k(x) = -9x^2 has the inverse x = -9y^2 which simplifies to;
This is a function but only for certain values of x.
3. f(x) = |x+2| is an absolute value function.
All absolute value functions do not have inverses which are functions.
4. w(x) = -20 does not have an inverse which is a function.
Hence, the function has an inverse that is also a function is g(x) = 2x – 3.
To know more about inverse function click the link given below.
Answer:
1. The amount of ice needed for the sculpture is 18 m³
2. The amount of fabric needed to manufacture the umbrella is 0.757 m²
3. The height of the cone is 37.5 cm
4. The largest possible storage area which is obtained by attaching the storage area to the back of the building is 87.11 m²
Step-by-step explanation:
1. The volume, V, of a rectangular pyramid =
Where:
B = Base area = Length, L × Width, W
h = Height of the pyramid = 3.6 m
L = 5 m
W = 3 m
The volume = 1/3 × 5 × 3 × 3.6 = 18 m³
The amount of ice needed for the sculpture is 18 m³
2) The surface area of a cone = π·r·s
s = Slant height
r = Radius of the cone's base = 0.4 m
h = The height of the cone = 0.45m
s = √(0.4² + 0.45²) = (√145)/20
The surface area of the cone = π × 0.4 × (√145)/20 = 0.757 m²
The amount of fabric needed to manufacture the umbrella is 0.757 m²
3) The volume, V of the cone = 150 cm³
The base area, , of the cone = 12 cm²
The height of the cone = h
We note that the volume of a cone =
Therefore;
4·h = 150
h = 150/4 = 37.5 cm
The height of the cone = 37.5 cm
4) The storage area at the back corner with four sides = 100 m²
The storage area at the back of the building with three sides = 98 m²
Given that the available riling = 28 m, we have;
For maximum area the four sides should be equal, hence dimension of each side = 28/4 = 7
The area of storage space that can be fenced on four sides at the back corner = 7 × 7 = 49 m²
At the back of the building only three sides need fencing, we therefore have;
The side length = 28/3 =
The area fenced = = 87.11 m²
Therefore, the largest possible storage area, 87.11 m², is obtained by attaching the storage area to the back of the building.
Answer:
degrees
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
Thus,
Divide both sides by 4: