What is the domain of f(x)= 3squareroot x?

Mathematics

2 answers:

Vinvika [58]3 years ago

7 0

Answer: Domain: x ≥ 0 Interval Notation: x = [0, ∞)

Step-by-step explanation:

f(x) = 3√x

There IS a restriction on x because it is inside the square root symbol.

In order for the radical to be a real number, the expression under the radical must be greater than or equal to 0. The value inside the radical is "x".

So, x ≥ 0 It is already solved for x so no further work is needed.

Andru [333]3 years ago

5 0

Answer:

x is greater than or equal to 0

Step-by-step explanation:

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Cherries $5 per pound and oranges per pound$2. He paid 18.00 for total weight which was 6 lbs how many pounds of cherries did Al

wel

Answer: 2 lbs of cherries

Cherries = $5 per pound
Oranges = $2 per pound
Total Cost = $18
Total weight = 6 lb

------------------------------------
Define x and y
------------------------------------
Let x be the number of lb of cherries
Let y be the number of lb of oranges

------------------------------------
Construct equations
------------------------------------
x + y = 6 ---------------------------- (1)
5x + 2y = 18 ---------------------------- (2)

------------------------------------------------------------------------
Solve x and y
------------------------------------------------------------------------
From equation (1):
x + y = 6
x = 6 - y

------------------------------------------------------------------------
Substitute x = 6 - y into equation 2
------------------------------------------------------------------------
5x + 2y = 18
5 (6 - y) + 2y = 18
30 - 5y + 2y = 18
3y = 30 - 18
3y = 12
y = 4

------------------------------------------------------------------------
Substitute y = 4 into equation (1)
------------------------------------------------------------------------
x + y = 6
x + 4 = 6
x = 2

------------------------------------------------------------------------
Find the weight of cherries and oranges
------------------------------------------------------------------------
Cherry = x = 2 lb
Oranges = y = 4 lbs

------------------------------------------------------------------------
Answer: Alex bought 2 lb of cherries
------------------------------------------------------------------------

5 0

3 years ago

Solve for w. 5w + 9z = 2z + 3w w = z w = z w = –2z w = –7z

Semenov [28]

5w + 9z = 2z + 3w

Move terms with w to the left - subtract 3w from both sides

2w + 9z = 2z

Subtract 9z from both sides

2w = -7z

Divide both sides by 2

w = $\frac{-7}{2}z$