Answer:
angleWTR + angleWTU = 180°
Thus they are supplementary.
Option B.
Answer:
$12.49
Step-by-step explanation:
The price right now = 0.8 * the original price
9.99 = 0.8*x
x=12.4875
x≈12.49
Sorry, I thought your problem meant that it was 20% the original price, not 20% off.
Answer: 55.4 mins
Step-by-step explanation:
pragnesh and qazi = 2hrs
pragnesh and roghui = 3hrs
qazi and roghui = 4hrs
this means for every 1 hour they wold paint.
pragnesh and qazi =
half of the fence
pragnesh and roghui = 
qazi and roghui =
quarter of the fence
time taken when they all work together
=
+
+ 
= 
= 
= 0.9231 × 60(mins)
= 55.4 mins
Answer:
It is first one
Step-by-step explanation:
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