1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Ket [755]
2 years ago
14

What are the domain and range of g(x)=√x+4?

Mathematics
1 answer:
beks73 [17]2 years ago
5 0

Answer:

Domain [-4 , +∞)

Range [0 , +∞)

Step-by-step explanation:

the function g such that g(x)=√(x+4) ,is defined

for the values of x that verify :

x + 4 ≥ 0

⇔ x ≥ -4

Then

The domain of g is [-4 , +∞)

………………………………………………

Let  x ∈ [-4 , +∞)  

then x ≥ -4

then x + 4 ≥ 0

then g(x) = √(x+4) ≥ 0

Therefore, we can affirm that the range of g is [0 , +∞)

You might be interested in
A student started solving the system of equations by elimination and made a mistake in solving x. What is the error?
Lorico [155]
Answer is A.

step 1 , 16 was not multiplied by 9
should be

54x - 9y = 144

5 0
3 years ago
Please help, seriously confused
Rufina [12.5K]
Original height = original width = x mm

1. She made an enlarged copy...
height = 2x
width = 2x

2. She cut off a rectangle...
height = 2x
width = \frac{2}{3} *2x= \frac{4}{3}x

3.She doubled the width...
height = 2x
width = 2*\frac{4}{3}x = \frac{8}{3}x

height * width = area

2x * \frac{8}{3}x=139 \ 968  \\ \\ \frac{16}{3}x^2= 139 \ 968 \\\\ x^2=139 \ 968: \frac{16}{3}=139 \ 968 * \frac{3}{16}=  8 \ 748*3 = 26 \ 244 \\  \\ x= \sqrt{26 \ 244} = 162 \ mm

Original height was 162 mm 
6 0
4 years ago
Express 25 minutes as a fraction of 2 hours in its simplest form
Phoenix [80]
1/8 bc If you take 2 hours and divide it by 8 you get 25
3 0
3 years ago
Read 2 more answers
A cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of s
Vitek1552 [10]

All the answers to the given parts are mentioned below -

<h3>What is the general equation of a Straight line? How it represents a proportional relationship?</h3>

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

y = mx also represents direct proportionality. We can write [m] as -

m = y/x

OR

y₁/x₁ = y₂/x₂

We have a cafeteria serves lemonade that is made from a powdered drink mix. There is a proportional relationship between the number of scoops of powdered drink mix and the amount of water needed to make it. For every 2 scoops of mix, one-half gallon of water is needed, and for every 6 scoops of mix, one and one-half gallons of water are needed.

We can write the proportional relationship as -

y = kx

Now, from the given information, we can write -

2 scoops need 0.5 gallon of water

6 scoops need 1.5 gallon of water

So -

k = 2/0.5

k = 2/(1/2)

k = 2 x 2 = 4

Equations that represents the relationship can be written as -

y = 4x + c

Now, 2 scoops need 0.5 gallon of water.

2 = 4 x 1/2 + c

2 = 2 + c

c = 0

So, the equation will be y = 4x.

Graph of y = 4x is attached at the end.

For 10 scoops of water -

10 = 4x

x = 2.5 gallons of water is needed.

Therefore, all the answers to the given parts are mentioned above.

To solve more questions on proportional relationship, visit the link below-

brainly.com/question/12917806

#SPJ1

5 0
1 year ago
simplify the following polynomial expression. <img src="https://tex.z-dn.net/?f=%285x%5E%7B3%7D%20%2B4x%5E%7B2%7D%20%2B6x-3%29%2
FrozenT [24]
Here is the answer hope it helps

7 0
4 years ago
Other questions:
  • After 3 days a sample of radon-222 has decayed to 58% of its original amount.
    8·1 answer
  • What is simplified value of the exponential expression 16^1/4
    12·2 answers
  • Draw a diagram to calculate each of the following quotients. 4 2\3÷ 2\3. B. 10÷2 1\2.
    14·1 answer
  • Translate into an algebraic expressions: b is decreased by 40% and decreased again by 40% . What is the result ?
    6·1 answer
  • A local pizzeria sold 70 pizzas yesterday. (a) The owner offers the employees a bonus if the number of pizzas sold increases by
    5·2 answers
  • Rewrite the expression in the form ya. 4 1 2 - y​
    6·1 answer
  • Hi ! if you come across this can you please help me out?:) tysm
    11·1 answer
  • The radius of a semicircle is 2 feet. What is the semicircle's diameter?
    14·1 answer
  • Which is greater -2 or -2/3
    7·1 answer
  • Question 17 (1 point)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!