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
Mariana [72]
4 years ago
10

H(x)=5/sqrt(2x+10), find the domain using set builder notation.

Mathematics
1 answer:
marissa [1.9K]4 years ago
4 0

The given expression is

h(x) = \frac{5}{\sqrt{2x+10}}

THe given expression is a rational expression, and rational expression should not have 0 in the denominator.

Moreover, the denominator is a square root term, and square root don't have a value for negative number .

Therefore 2x+10 must be greater then 0. That is

2x+10>0
\\
2x>-10
\\
x>-5

Therefore the required domain in set builder form is

{x | x>-5}

You might be interested in
Determine whether the following equation defines y as a function of x.
Aleks04 [339]

Answer:

The equation can define y as a function of x and it also can define x as a function of y.

Step-by-step explanation:

A relation is a function if and only if each value in the domain is mapped into only one value in the range.

So, if we have:

f(x₀) = A

and, for the same input x₀:

f(x₀) = B

Then this is not a function, because it is mapping the element x₀ into two different outputs.

Now we want to see it:

x + y = 27

defines y as a function of x.

if we isolate y, we get:

y = f(x) = 27 - x

Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.

Now we also want to check if:

x +  y = 27

defines x as a function of y.

So now we need to isolate x to get:

x = f(y) = 27 - y

Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.

3 0
3 years ago
Evaluate the following expression for a = 4 and b = 3<br> -3a + 2b<br> Helppp
erma4kov [3.2K]
Answer:

-6

Step-by-step explanation:

-3a + 2b

-3(4) + 2(3)

-12 + 6

-6
7 0
3 years ago
Tessa is cooking steak for her family. She wants to be sure the steak has an internal temperature of at least 160 degrees Fahren
Over [174]

Answer:

<u>Population : all the steaks Tessa can cook</u>

<u>Parameter : minimum internal temperature of 160 degrees Fahrenheit</u>

<u>Sample : two random thermometer readings</u>

<u>Statistic : minimum sample reading of 165 degrees Fahrenheit</u>

Step-by-step explanation:

Let's recall the definitions of these statistical concepts and match it with the information that were provided to us:

  • Populations can be the complete set of all similar items that exist, in our case, all the steaks that Tessa can cook.
  • Parameter is is a value that describes a characteristic of an entire population, such as the minimum temperature of the steaks Tessa is cooking in Fahrenheit degrees.
  • Sample is a subset of the population, in our case, the two random readings of the thermometer Tessa did.
  • Statistic is a characteristic of a sample, for our problem, it's the minimum reading of 165 degrees Fahrenheit.
3 0
3 years ago
Use the substitution method to solve the system of equations. Choose the correct ordered pair.3x + y = 10y = x – 2
almond37 [142]
B. For the easiest way to find this, solve the first equation for y and then plug into the second equation for y. 
4 0
4 years ago
Read 2 more answers
Adam tabulated the values for the average speeds on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 6
dezoksy [38]

Answer:

The answer is "2.998".

Step-by-step explanation:

In the given question, the answer is "2.998" because the critical region value will be used to divide the value into two-part that is 0.01, in which each of the value that will have to see the values of the degree of freedom that is 7, in column 0.01, that is equal to 2.998.

3 0
3 years ago
Other questions:
  • Which of the following statements about ratio's is true
    13·1 answer
  • 1. What operations would you use in order to solve 3x – 4 = 26. Please write the operations in the order you would use them.
    7·2 answers
  • Which of the option goes in the box i need hlep pls
    15·2 answers
  • How to solve for positive and negative line coordinates
    11·2 answers
  • Simplify 3 3/4- 1/5
    7·2 answers
  • P(x) 3x^2 + 5x^2 + 4x-7 and<br>q (x)=6x^3+ 2x^2-9x-5<br>Find P(x)+ q (x) and P[x]-q(x)​
    5·1 answer
  • 1. A fish is 12 meters below the surface of the ocean. What is its elevation? meters 2. A sea bird is 28 meters above the surfac
    7·1 answer
  • Solve for X <br> somebody help me out
    13·2 answers
  • Find the monthly payment of an ordinary annuity if the present value is 18,500 with an interest rate of 10% compounded quarterly
    14·1 answer
  • 3(x-7) = 2 (x - 12) <br> i need help fast
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!