Answer: 1. is A
3. -3/5
4. 9/16
Step-by-step explanation: idk how to solve the other two
Step-by-step explanation:
Alina is building a roof for a dog house with the dimensions shown. She uses plywood to make the roof with the dimensions shown, but with an open bottom.
A net of a square pyramid has a square base with side lengths of 4 feet, and 4 triangular sides with heights of 3 feet.
Find the surface area of the roof.
The area of each triangular face is
✔ 6
ft2.
The surface area of the roof is
✔ 24
ft2.
Answer:
Here we have the domain:
D = 0 < x < 1
And we want to find the range in that domain for:
1) y = f(x) = x
First, if the function is only increasing in the domain (like in this case) the minimum value in the range will match with the minimum in the domain (and the same for the maximums)
f(0) = 0 is the minimum in the range.
f(1) = 1 is the maximum in the range.
The range is:
0 < y < 1.
2) y = f(x) = 1/x.
In this case the function is strictly decreasing in the domain, then the minimum in the domain coincides with the maximum in the range, and the maximum in the domain coincides with the minimum in the range.
f(0) = 1/0 ---> ∞
f(1) = 1/1
Then the range is:
1 < x.
Notice that we do not have an upper bound.
3) y = f(x) = x^2
This function is strictly increasing, then:
f(0) = 0^2 = 0
f(1) = 1^2 = 1
the range is:
0 < y < 1
4) y = f(x) = x^3
This function is strictly increasing in the interval, then:
f(0) = 0^3 = 0
f(1) = 1^3 = 1
the range is:
0 < y < 1.
5) y = f(x) = √x
This function is well defined in the positive reals, and is strictly increasing in our domain, then:
f(0) = √0 = 0
f(1) = √1 =1
The range is:
0 < y < 1
533,030 in 3 years, simply grab the percentage of the whole amount and double the interest by several years and add up.
Answer:
456[67]98
Step-by-step explanation:
