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
eimsori [14]
3 years ago
11

Help on 3 algebra questions please !!!***

Mathematics
1 answer:
madam [21]3 years ago
3 0

Answer:

19) The domain is (12 , ∞) ⇒ answer C

17) The radical notation is \sqrt[7]{18y^{2} }

10) The definition of number i is √(-1) ⇒ answer C

Step-by-step explanation:

19)

* Lets explain the meaning of the domain of the function

- The domain of any function is the values of x which makes the

  function defined

- Examples:

# In the fraction the denominator con not be zero, then if the function

  is a rational fraction then the domain is all the values of x except

  the values whose make the denominator = 0

# In the even roots we can not put negative numbers under the radical

  because there is no even roots for the negative number belonges to

  the real numbers, then the domain is all the values of x except the

  values whose make the quantity under the radical negative

* Now lets solve the question

∵ f(x) = 3 √(x - 12)

- To find the domain let (x - 12) greater than zero because there is

 no square root for negative value

∵ x - 12 > 0 ⇒ add 12 to both sides

∴ x ≥ 12

∴ The domain is all values of x greater than 12

* The domain is (12 , ∞)

17)

* Lets talk about the radical notation

- The radical notation for the fraction power is:

  the denominator of the power will be the radical and the numerator

  of the power will be the power of the base

- Ex: x^{\frac{a}{b}}=\sqrt[b]{x^{a}}

* Lets solve the problem

∵ (18 y²)^(1/7)

- The power 1/7 will be the radical over (18 y²)

∴ (18y^{2})^{\frac{1}{7}}=\sqrt[7]{18y^{2}}

* The radical notation is \sqrt[7]{18y^{2} }

10)

* Lets talk about the imaginary number

- Because there is no even root for negative number, the imaginary

 numbers founded to solve this problem

- It is a complex number that can be written as a real number multiplied

  by the imaginary unit i, which is defined by i = √(-1) or i² = -1

- Ex: √(-5) = √[-1 × 5] = i√5

* The definition of number i is √(-1)

You might be interested in
CO 5<br> What is the value of tan(60°)?<br> A<br> O<br> 12<br> 30°<br> 3<br> B<br> 60°<br> 6
lukranit [14]

Answer:

<em>√3</em>

Step-by-step explanation:

5 0
2 years ago
The picture shows two sizes of shipping boxes with measurements in inches. The boxes are rectangular prisms. There are two recta
MakcuM [25]

Answer:

6

Step-by-step explanation:

7 0
3 years ago
Student had 500 milliliters of water in a water bottle. She drank 25% of the water before soccer practice. After practice, she d
sesenic [268]
250 milliters of water remains
8 0
2 years ago
Solve the equation 2/3-4x+7/2=-9x+5/6
VMariaS [17]

Answer:

<u>For this equation the value of x is - 2/3</u>

Step-by-step explanation:

1. Resolving the equation 2/3-4x+7/2=-9x+5/6

-4x + 9x = 5/6 - 2/3 - 7/2 (Putting the all the x values on the left)

5x = (5/6 - 4/6 -21/6)

5x = -20/6

x = - 20/6 /5 (Dividing by 5 at both sides)

x = -20/6 * 1/5

<u>x = -4/6 = - 2/3 (Simplifying)</u>

2. Proof of replacing x by -2/3

2/3 - 4 (-2/3) + 7/2 = -9 (-2/3) + 5/6

2/3 + 8/3 + 7/2 = 18/3 + 5/6

10/3 + 7/2 = 6 + 5/6

20 + 21 = 36 + 5 (Multiplying by 6 at both sides)

41 = 41

<u>It means the value of -2/3 for x is correct</u>

Note: Same answer than 13866851

4 0
3 years ago
Find the derivative of tan^-1 x​
k0ka [10]
<h3>I hope it is helpful for you .....</h3>

3 0
3 years ago
Other questions:
  • A store has a sale on paper cups, 200 cups for $15.00. During the sale, what is the unit price per cup?
    12·1 answer
  • Divide 33 photos into two groups so that the ratio is 4 to 7
    6·1 answer
  • Write in word form and expanded form: 23,876.901
    12·1 answer
  • Solve for d.<br><br> 41=12d-7<br><br> d= ?
    13·2 answers
  • How long is this line segment?<br>​
    14·1 answer
  • What is the measure of A? I’m confused Please help me!!
    13·1 answer
  • Plz help! The product of three consecutive natural numbers is 336. What are those numbers?​
    10·1 answer
  • Which option is the correct interpretation of this numerical expression?
    5·1 answer
  • A coupon for 15% off the purchase. After the discount, the item was $150. What was the original cost of the item?
    10·1 answer
  • Connie sells lemonade for $0.25 per small cup and $0.75 per large cup.
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!