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
Alinara [238K]
4 years ago
14

Simplify the following rational expression.

Mathematics
1 answer:
Mekhanik [1.2K]4 years ago
7 0

Answer:

z=-8 and z=8

Step-by-step explanation:

A rational expression  is undefined when its denominator is equal to zero, so our expression is undefined when z^2-64=0. Solving for z, we get

z^2=64\\\sqrt{z^2}=\pm\sqrt{64}\\ z=\pm8

You might be interested in
Is this right? I feel like I’m wrong.
Arisa [49]

Answer:

no I believe you are correct

Hope This Helps! Have A Nice Day!!

4 0
4 years ago
Read 2 more answers
find two consecutive integers such that the sum of the lager number and 4 times the smaller number is 156
Len [333]
<h2>Answer:   31 & 32</h2>

Step-by-step explanation:

So we first need to assign letters to represent the numbers.

Let 'a' be the larger number and 'b' the smaller.

Now we can use this to write equations that we can solve simultaneously to find both 'a' and 'b'.

according to the question:

a + 4b  = 156  [1]

a - b = 1  [2]   (this is because the integers are consecutive

We can rearrange [2] to make 'a' the subject:     a = b + 1 [3]

We can then substitute [3]  into [1] and solve for b

(b + 1) + 4b = 156

5b = 155

 b = 31

Now we can find 'a' using [3]

a = 31 + 1

a = 32

4 0
3 years ago
Using the letters in the word INNOVATIVE, find the number of permutations that can be formed using 4 letters at a time. Show you
lyudmila [28]

Answer:  1) 5040 and 2) 165

Step-by-step explanation:

1) Here total number of letters = 10

The number of permutations that can be formed using 4 letters at a time

= P (10, 4)

= 10_P_4

= \frac{10!}{(10-4)!}

=  \frac{10!}{6!}

= \frac{10\times 9\times 8\times 7\times 6!}{6!}

= 10 × 9 × 8 × 7

= 5040

2) Here the total number of machine = 11

The different combinations of machines can Geoff choose from to use

= 11_C_3

= \frac{11!}{(11-3)!3!}

= \frac{11!}{8!3!}

= \frac{11\times 10\times 9\times 8!}{8!\times 6}

= 11 × 5 × 3

= 165

5 0
3 years ago
A frequency distribution is a tabular summary of data showing the a. number of items in several classes. b. relative percentage
Viefleur [7K]

Answer:

The answer is a: Number of items in several classes.

Step-by-step explanation:

Frequency distributions are tables that represent the number of times a specific data, number object etc appears in a sample. So for example if we have this data

2,2,4,4,6,6,6,8,8,10

The frequency distributions is

Number   frequency

2                  2

4                  2

6                  3

8                   2

10                  1

The other options are identical (c and are the same as percentages can be expressed as fractions. Relative percentages or fractions are  tables that express the weight that each category has in the entire data. An example for our data would be: (10 are the total number of obs)

Number             Fraction/%

2                          2/10 or 20%

4                         2/10 or 20%

6                          3/10 or 30%

8                           2/10 or 20%

10                            1/10 or 10%

6 0
3 years ago
The area of a rectangle is 25 square ft. what could the length and width of that rectangle be?
gulaghasi [49]

Answer:

Area of Rectangle = lenghth x width

Area of Rectangle =25 sq ft

25=5 x 5

It means Length = 5 and Width=5 as well

6 0
3 years ago
Other questions:
  • Riley just opened a checking account at the bank. Within the first month, she deposited three checks for $34.98, $51.02, and $51
    5·1 answer
  • A class is using base-ten block to represent numbers. A large cube represents 1000, a flat represents 100, a rod represents 10,
    13·1 answer
  • The volume of a prism is found by multiplying the area of the base by the height. A rectangular prism has a volume of 144 cm3 ,
    7·1 answer
  • Find the volume of this triangular prism. NO LINKS
    8·1 answer
  • Using π = 3.14, what is the circumference of a circle with a radius of 18 units? Round your answer to the nearest hundredth.
    8·1 answer
  • 9-23 24 i need help​
    5·1 answer
  • PLZZ HELP!
    12·1 answer
  • Someone please help me!!!please give me the answer!!!
    12·1 answer
  • Write 93 17/ 80 as a decimal
    6·1 answer
  • Please help, point slope
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!