1. set the United States Senate to X
2. equation will be 4x + 35 (This answer will be the number of members in the house of representatives)
3. plug in 100 in x
4. 400 + 35 = 435
The number of members in the house of representatives are 435.
Looks like y = |x| because the slopes of the lines are both 1
You shift it to the right making it |x-2| and you shift it down making y = -2
combine to get <em>y = |x - 2| - 2</em>.
Step-by-step explanation:
The domain is x. The range is y (or in this case F(x)).
Plug in the numbers in the number set to get a number set for your y.
When the domain is -2:
f(-2) = 2(-2) + 4
f(-2) = -4 + 4
f(-2) = 0
When the domain is -2, the range is 0.
(-2 , 0)
When the domain is 0:
f(0) = 2(0) + 4
f(0) = 0 + 4
f(0) = 4
When the domain is 0, the range is 4.
(0 , 4)
When the domain is 3:
f(3) = 2(3) + 4
f(3) = 6 + 4
f(3) = 10
When the domain is 3, the range is 10.
(3 , 10)
Answer:
243cm^3
Step-by-step explanation:
By Pythagoras' Theorem,
height of the prism ^2 + 5.4^2 = 7.8^2
height of the prism = ±√(7.8^2 -5.4^2) = ±5.6285cm (5s.f.) (rej. - 5.6285 since height > 0cm)
volume of the prism = 1/2 x 5.4 x 5.6285 x 16 = 243cm^3 (3s.f.)
This is a question on mensuration. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)
Decibel is directly proportional to number of cars passing the point. That is,
69 db ----- 139 cars
x db ----- 17 cars
x = number of cars passing the point per minute on a weekend.
Then,
x= (69*17)/139 = 8.43 db ≈ 8 db
