Answer:
x = - 8, x = 6
Step-by-step explanation:
Answer:
1120 grams
Step-by-step explanation:
The amount of sea water is directly proportional to the amount of salt in the water.
Let the amount of sea water be W and the amount of salt be S.
This means that:
W α S
=> W = kS
where k = constant of proportionality
2 liters of sea water contain 70 grams of salt Therefore:
2 = k * 70
k = 2 / 70 = 1/35
Therefore, for 32 liters of sea water:
32 = 1/35 * S
S = 35 * 32
S = 1120 grams
There are 1120 grams of salt in 32 liters of water.
Subtract the constant vector that is on the left. The arithmetic applies to corresponding elements of the vectors.
Answer:
Part 1)
Part 2)
Part 3)
Part 4) In interval notation the domain is (-∞,-7/3) ∪ (-7/3,∞)
Part 5)
Step-by-step explanation:
we have
Part 1) Find (f+g)(x)
we know that
substitute the given functions
Combine like terms
Part 2) Find (f-g)(x)
we know that
substitute the given functions
Combine like terms
Part 3) Find (f/g)(x)
we know that
substitute the given functions
Part 4) What the domain for the answer in question 3
we have
we know that
The denominator of the quotient cannot be equal to zero
so
The domain is all real numbers except the number x=-7/3
In interval notation the domain is (-∞,-7/3) ∪ (-7/3,∞)
Part 5) Find (f o g) (x)
we know that
substitute
therefore