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
stiks02 [169]
3 years ago
6

I have no idea what im doing someone help pls! due soon

Mathematics
2 answers:
Irina18 [472]3 years ago
7 0

4x2-28x+49  

Final result :

 (2x - 7)2

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 (22x2 -  28x) +  49

Step  2  :

Trying to factor by splitting the middle term

2.1     Factoring  4x2-28x+49  

The first term is,  4x2  its coefficient is  4 .

The middle term is,  -28x  its coefficient is  -28 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 49 = 196  

Step-2 : Find two factors of  196  whose sum equals the coefficient of the middle term, which is   -28 .

     -196    +    -1    =    -197  

     -98    +    -2    =    -100  

     -49    +    -4    =    -53  

     -28    +    -7    =    -35  

     -14    +    -14    =    -28    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -14  and  -14  

                    4x2 - 14x - 14x - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   2x • (2x-7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (2x-7)

Step-5 : Add up the four terms of step 4 :

                   (2x-7)  •  (2x-7)

            Which is the desired factorization

Multiplying Exponential Expressions :

2.2    Multiply  (2x-7)  by  (2x-7)  

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (2x-7)  and the exponents are :

         1 , as  (2x-7)  is the same number as  (2x-7)1  

and   1 , as  (2x-7)  is the same number as  (2x-7)1  

The product is therefore,  (2x-7)(1+1) = (2x-7)2  

Final result :

 (2x - 7)2

yKpoI14uk [10]3 years ago
4 0

ok so we know that 49 stays the same.

_(x + _)^2+ 49

So 4 and 28 both have a factor of 4 right? If we take out the 4 we get....

4(x^2 + 7x) + 49

Hmm.... Oh wait we can take out an x!!

4x(x + 7) + 49

That's your answer!


You might be interested in
Pls hurry I need help
sergejj [24]

Answer:

-403.2

Step-by-step explanation:

multiply the numbers together.  a negative x a postive is a neg

4 0
3 years ago
Read 2 more answers
What is the value of x in the equation one-fifthx – two-thirdsy = 30, when y = 15? 4 8 80 200
vova2212 [387]

Answer:

x = 200

Step-by-step explanation:

Given

\frac{1}{5} x - \frac{2}{3} y = 30 ← substitute y = 15 into the equation

\frac{1}{5} x - \frac{2}{3} × 15 = 30 , that is

\frac{1}{5} x - 10 = 30 ( add 10 to both sides )

\frac{1}{5} x = 40 ( multiply both sides by 5 to clear the fraction )

x = 200

5 0
3 years ago
Will mark brainliest and rate 5/5
Levart [38]

Answer: Usually the formula for the volume of a prism is V=b(h)—> In words, Volume equals base times height. This means the height 10 would replace h. —> V=b(10). Next we want to find the B in the forumla. If you notice the question says that the base is 24 square centimeters. So our new formula is V=24(10). So option C, V=24x10 is the correct answer.

8 0
3 years ago
Use the conditional statement to answer the question.
anygoal [31]
The statement is true, but the inverse is false.
4 0
3 years ago
In this exercise, we consider strings made from uppercase letters in the English alphabet and decimal digits.
Yuri [45]

Answer:

  • a) 26^2 36^8
  • b) 21\cdot10\cdot36^7
  • c) 5^3 31^7
  • d) 10\cdot 9\cdot 8 \cdot 7 \cdot 26^6

Step-by-step explanation:

We will use the product rule from combinatorics.

  • a) There are 26 letters in the English alphabet, so there are 26 possible choices for the first character and 26 possible choices for the last one. Each one of the remaining eight characters of the string has 36 choices (letters or digits). By the product rule, there are 26\cdot36\cdot 36\cdots 36\cdot 26=26^2 36^8 strings.
  • b) We have 5 possible choices for the first character, it must be some vowel a,e,i,o,u. The second character can be chosen in 21 ways, selecting some consonant. There are 10 possibilities for the last character because only of the digits are allowed. The other seven characters have no restrictions, so each one can be chosen in 36 ways. By the product rule there are 21\cdot 10\cdot 36^7 strings.    
  • c) The third character has 5 possibilities. Repetition of vowels is allowed, so the sixth and eighth characters have each one 5 possible choices. There are seven characters left. None of them are a vowel, but they are allowed to take any other letter or digit, so each one of them can be chosen in 36-5=31 ways. Therefore there are 5^3 31^7 strings.
  • d) Remember that the binomial coefficient \binom{n}{k} is the number of ways of choosing k elements from a set of n elements. In this case, to count all the possible strings, we first need to count in how many ways we can select the four positions that will have the digits. This can be done in \binom{10}{4} ways, since we are choosing four elements from the set of the ten positions of the string. Now, for the first position, we can choose any digit so it has 10 possibilities. The second position has 9 possibilities, because we can't repeat the digit used on the first position. Similarly, there are 8 choices for the third position and there are 7 choices for the fourth. Now, these are the only digits on the string, so the remaining 6 characters must be letters, then each one of them has 26 possibilities. By the product rule, there are 10\cdot 9\cdot 8 \cdot 7 \cdot 26^6 strings.
3 0
3 years ago
Other questions:
  • A bag contains 2 white marbles and 7 purple marbles. Two marbles are drawn at random. One marble is drawn and not replaced. Then
    9·1 answer
  • F(x) = x4 - x3 - 2x- 4 factor the polynomial function over the complex numbers
    14·1 answer
  • Change the improper fraction to a mixed number 62/13 will get 27points
    12·1 answer
  • 3.8x = −104.12 what is the answer to the question
    7·1 answer
  • What system does it represent and what is the solution of this system
    11·1 answer
  • 7t2 – 14t 4t2 – 9 how do u solve this
    10·1 answer
  • Please Help Me! I need to pass.
    5·1 answer
  • A system of equations has infinitely many solutions. If 2y – 4x = 6 is one of the equations, which could be the other equation?
    14·1 answer
  • Due now please help!
    14·2 answers
  • i need help answering this but also how to do it like step by step. i don’t understand this. (9 + 7x) - 7x
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!