Answer:
50
Step-by-step explanation:
[15 ÷ 5 • 3 + (2³ – 3)] + [4 • (36 – 3³)]
[3 × 3 + (8 - 3)] + [4 × (36 - 27)]
(9 + 5) + (4 × 9)
14 + 36
50
Answer:
8
Step-by-step explanation:
160 divided by 20 hours = 8.
David has a 8 hourly wage.
Answer:
(a) B. G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
(b) Every function of the form
is an antiderivative of 8x
Step-by-step explanation:
A function <em>F </em>is an antiderivative of the function <em>f</em> if

for all x in the domain of <em>f.</em>
(a) If
, then
is an antiderivative of <em>f </em>because

Therefore, G(x) is an antiderivative of f(x) because G'(x) = f(x) for all x.
Let F be an antiderivative of f. Then, for each constant C, the function F(x) + C is also an antiderivative of <em>f</em>.
(b) Because

then
is an antiderivative of
. Therefore, every antiderivative of 8x is of the form
for some constant C, and every function of the form
is an antiderivative of 8x.
To find the answer we start by adding the contents of both containers together
7.49 + 6.26 = 13.75
Since we know that there is leftover paint we are going to subtract the leftovers from the total of combined paint
13.75 - 0.43 = 13.32
The combined paint is poured into 4 containers so we divide our combined total minus the leftovers by 4
13.32/4 = 3.33
Answer: There are 3.33 liters of paint in each container
Note that mailing address is unique, but houses are not, meaning that you can't have house A and house B both referencing the same address.
So, in order to have a valid function, any two points on the function cannot have the same x value that lands on different y.
With this property mentioned, it's clear to see that
(house, address) is NOT a function; however, (address, house) is a function, since same x lands on multiple y values is a valid onto function. (a house that have multiple addresses)