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
katen-ka-za [31]
3 years ago
9

Given that a­­^b = x, evaluate the following: 2a^3b+a^2b+a^b

Mathematics
1 answer:
Luda [366]3 years ago
8 0

Answer:

2*x^3 + x^2 + x

Step-by-step explanation:

a­­^b = x

Then,

a­­^(2b) = a­­^b*a­­^b = x* x = x^2

a^(3b)  = a­­^b*a­­^b*a­­^b = x*x*x = x^3

2*(a^3b) + (a^2b) + (a^b)

= 2*(x^3) + (x^2) + (x)

= 2*x^3 + x^2 + x

You might be interested in
in a final exam you have four multliple choice questions left to do. each questions has five suggested answers and only one of t
kompoz [17]

Answer:

The probability that you get zero questions correct is 0.4096

The probability that you get one questions correct is 0.4096

The probability that you get three questions correct is 0.0256

Step-by-step explanation:

These probability can be describe with a Binomial Distribution. These distribution can be used when we have n identical and independent situations in which there is a probability p or probability of success and a probability q or probability of fail. Additionally q is equal to 1 - p. The probability of x for a situation in which we can apply binomial distribution is:

P( x,n,p) = n Cx * p^{x } * q^ {n-x}

Where x is the variable that says the number of success in the n situations

And nCx is calculate as:

nC x = \frac{ n!}{ x! (n-x)! }

From the question we can identify that:

  • n is equal to 4 multiple choice question
  • p is 1/5 or 0.2, the probability of get one question correct
  • q is 4/5 or 0.8, the probability of get one question incorrect

Then the probability of get zero questions correct of 4 questions is:

P( 0, 4, 0.2) = 4 C0 * p^{0 } * q^ {4-0}= 0.4096

The probability of get one question correct of 4 questions is:

P( 1, 4, 0.2) = 4 C1 * p^{1 } * q^ {4-1}= 0.4096

The probability of get three questions correct of 4 questions is:

P( 3, 4, 0.2) = 4 C3 * p^{3 } * q^ {4-3}= 0.0256

8 0
3 years ago
Which of the following groups listed below are subsets of the integers?
meriva
I believe the answer would be Whole Numbers
8 0
3 years ago
What is the answer to this 14-2y=​
yaroslaw [1]

Answer:

y=7

Step-by-step explanation:

Assuming that the equation is 14-2y=0

We need to isolate 'y' variable to obtain its value, to do that, lets start by subtracting -14 to both sides of equality sign,

14-2y=0 is now this: 14-14-2y=0-14, which is equals to -2y=-14

Now, lets continue by dividing by -2 both sides of equality sign.

We have this

-2y/-2=-14/-2

y=7

Thus, we've obtained the value for 'y' variable

4 0
3 years ago
How to factor the algebraic expression 24a + 28
bonufazy [111]
So use undistributive properyt]
ab+ac=a(b+c)
so factor 24a dadn 28 to find 'a' the common factor
24=2 times 2 times 2 times 3 tiems a
28=2 times 2 times 7
common one is 2 itmes 2=4
a=4
4(2 times3 times a)+4(7)=4(6a)+4(7)=4(6a+7)

7 0
3 years ago
Help me Please..
Fittoniya [83]
Just general definitons:

a TRInomial has 3 terms (tri means three)
a BInomial has 2 terms (bi means two)
a MONOmial has 1 term (mono means one)

the degree is the highest exponent found in the algebraic expression

so they should be pretty easy to solve with that information, but just in case:

1. trinomial, degree of 4
2. binomial, degree of 3
3. monomial, degree of 2

for the final question, all you have to do is plug in 2 for x, so

(2)^2 - 2(2) + 1

4 - 4 + 1

so the answer is 1
7 0
3 years ago
Other questions:
  • What is the greatest common factor of 24 and 36
    12·2 answers
  • The surface area (SA) of a cube with a as the length of each of its sides is given by the formula . If the surface area is known
    9·1 answer
  • Katie recently retired and met with her financial planner. She arranged to recieve 57000 the first year. Because of inflation, e
    9·1 answer
  • Michelle wants to make cupcakes for her daughter's birthday. The recipe calls for 3/4 cup of brown sugar, 1 1/2 cups of white su
    15·1 answer
  • 2 ( 4x - 3 ) - 8 = 4 + 2x Giving me a headache
    14·2 answers
  • If 5 dogs share equally a bag of dog treats, each dog gets 24 treats. Suppose 8 dogs share the bag of treats equally. How many t
    8·2 answers
  • What is the difference?<br> -6-(11)<br> 1-17<br> -5<br> O 5<br> 017
    11·2 answers
  • What is 10x5/6 pls helppp thank you
    10·1 answer
  • Name the relationship between the angles
    10·1 answer
  • Try to solve the system of equations. Explain the result.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!