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Leokris [45]
4 years ago
13

Look at the function f(x)=x^2-2. Which of the following describes the domain and range of the function and its inverse?

Mathematics
1 answer:
anygoal [31]4 years ago
6 0

Answer:

A

Step-by-step explanation:

The function is a quadratic whose graph is a parabola. All parabolas have no limitations on their domain. This means the domain of the function is all real numbers.

This parabola has a minimum value since its leading coefficient is positive. Its vertex is at (0,-2). This means its range is all values greater than -2 or y ≥ -2.

An inverse of a function is its reflection across the y=x line. This results in (x,y) in the function becoming (y,x) in its inverse. The domain of the function becomes the range of the inverse and the range of the function becomes the domain of the inverse. Inverse has x ≥ -2 as its domain and all real numbers for its range.

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A village water tank measures 8m x5m x 3m. What is the capacity of the tank when full?
Bad White [126]

Answer:

Hence, the capacity of the tank when full is 120 cubic m.

Step-by-step explanation:

The measures of water tank is 8m x 5m x 3m.

The capacity of the tank when full is nothing but the capacity of the full tank which is the multiples of given dimensions.

The capacity of the tank when full is,

8m x 5m x 3m = 40 m^2 x 3m

                        = 120 m^3.

Hence, the capacity of the tank when full is 120 cubic m.

3 0
2 years ago
I’ll put you as brainiest
Nikitich [7]
<h2>Answer:38.33 Kg</h2>

Step-by-step explanation:

If mKg of mass is placed on spring with spring constant k,

mg=kx

where g is universal gravitational constant

x is the displacement in the spring.

In case 1:

25g=k(0.15)\\k=\frac{25g}{0.15}

In case 2:

mg=k(0.23)

Using  result from case 1,

mg=\frac{25g}{0.15}\times 0.23

m=38.33Kg

5 0
3 years ago
Solve the equation: 2tanx+cosx-2=0
zavuch27 [327]
I wanna help u but i dont get the question 


is 2sinx+cosx-2=0
or <span>2tanx+cosx-2=0 ?</span>

8 0
3 years ago
Colton's Gym charges an initiation fee of
Setler79 [48]

Answer:

c = 40 + 50m

Step-by-step explanation:

40 is a constant, it is not affected by the number of months the person works out at the gym for.

There is a monthly fee of $50. So, every month Colton gets charged $50, so this is the variable.

The total cost would be represented by the equation c = 40 + 50m then.

Let's look at this using a number for m.

If Colton went to the gym for 2 months then we can set up the equation like this:

c = 40 + 50(2)

c = 40 + 100

c = 140

Therefore he spends a total of $140 for 2 months.

<em>Hope this helps!</em>

<em>- Kay</em>

7 0
3 years ago
For each ordered pair determine whether it is a solution to 4x-7y=19
irga5000 [103]

Answer:

No Solution

Step-by-step explanation:

all the ordered pair doesn't satisfy the equation.

6 0
3 years ago
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