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
galben [10]
2 years ago
5

I need help or I will faill this

Mathematics
1 answer:
kari74 [83]2 years ago
7 0

Answer:

-4x2 + 3x - 225

 ———————————————

        3    

Step-by-step explanation:

Step  1  :

               4

Simplify   —

                3

Equation at the end of step  1  :

        4            

 (x -  (— • x2)) -  75

        3            

Step  2  :

Equation at the end of step  2  :

       4x2      

 (x -  ———) -  75

        3      

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a fraction from a whole

Rewrite the whole as a fraction using  3  as the denominator :

         x     x • 3

    x =  —  =  —————

         1       3  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

x • 3 - (4x2)     3x - 4x2

—————————————  =  ————————

      3              3    

Equation at the end of step  3  :

 (3x - 4x2)    

 —————————— -  75

     3          

Step  4  :

Rewriting the whole as an Equivalent Fraction :

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  3  as the denominator :

         75     75 • 3

   75 =  ——  =  ——————

         1        3    

Step  5  :

Pulling out like terms :

5.1     Pull out like factors :

  3x - 4x2  =   -x • (4x - 3)  

Adding fractions that have a common denominator :

5.2       Adding up the two equivalent fractions

-x • (4x-3) - (75 • 3)     -4x2 + 3x - 225

——————————————————————  =  ———————————————

          3                       3        

Step  6  :

Pulling out like terms :

6.1     Pull out like factors :

  -4x2 + 3x - 225  =   -1 • (4x2 - 3x + 225)  

Trying to factor by splitting the middle term

6.2     Factoring  4x2 - 3x + 225  

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

The middle term is,  -3x  its coefficient is  -3 .

The last term, "the constant", is  +225  

Step-1 : Multiply the coefficient of the first term by the constant   4 • 225 = 900  

Step-2 : Find two factors of  900  whose sum equals the coefficient of the middle term, which is   -3 .

     -900    +    -1    =    -901  

     -450    +    -2    =    -452  

     -300    +    -3    =    -303  

     -225    +    -4    =    -229  

     -180    +    -5    =    -185  

     -150    +    -6    =    -156  

For tidiness, printing of 48 lines which failed to find two such factors, was suppressed

Observation : No two such factors can be found !!

Conclusion : Trinomial can not be factored

Final result :

 -4x2 + 3x - 225

 ———————————————

        3        

You might be interested in
Put y-x=-8 of a line into slope-intercept form, simplifying all fractions.
grigory [225]

Answer: y= x-8

Step-by-step explanation:

  • Slope intercept form has a general formula of y=mx +b
  • m represents the slope of the line
  • b represents the value of the lines y-intercept

  • the equation must be rearranged into the general formula by isolating for 'y'

y-x=-8

  • to remove the x from the left side of the equation the opposite operation must be done to both sides

y-x+x=-8+x

  • the negative and positive x cancel out on the left side, leaving us with the equation with y by itself
  • now you can rearrange to put the equation into y=mx+b

Final Answer: y=x-8

4 0
1 year ago
What is the value of x?<br> 38<br> 21<br> 21<br> Drawing not to scale
Snezhnost [94]
Where is it?
step by step:
3 0
2 years ago
Find the slope please
inysia [295]

Answer:

-1/3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
What is 15% of 60 show your work to prove your answer
Mila [183]
<span>To convert a percentage to a decimal you move the decimal two places to the left. Therefore:

15.% becomes .15

You then multiply this decimal to the number you are trying to find the percentage of.

.15 × 60 = 9.

9 is 15% of 60.
</span>
3 0
2 years ago
Read 2 more answers
Which point on the number line best represents√57?
Cerrena [4.2K]

Answer:

8.

Step-by-step explanation:

\sqrt{57} =\sqrt{3 * 19}

Since this cannot be further simplified, we will calculate the square root of 57 with our calculators.

We find that the square root of 57 is 7.549834435, and since the tenths place is a 5, we will round up to the next whole number. So, the point on the number line that best represents the square root of 57 is 8.

Hope this helps!

7 0
2 years ago
Other questions:
  • Verify that the function is a solution of the initial value problem. (a) y = x cos x; y = cos x − y tan x, y(π/4) = π 4 √2
    6·1 answer
  • Write a numerical expression that equals 24.Include an exponent.
    15·2 answers
  • The value of your EFG stock is three times the value of your PQR stock. If the total value of the stocks is $4500, how much is i
    14·1 answer
  • How to Write the numbers 0.253 in two other forms
    5·1 answer
  • Round 8.631 to the nearest hundredth
    12·1 answer
  • STATS. How can we decide if an event that seems weird is actually unusual or fairly likely?
    5·1 answer
  • The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. A wind speed of 37 miles per ho
    5·1 answer
  • Part 2!
    10·2 answers
  • Identify the y-intercept of the line 2x-y=6
    10·1 answer
  • 2) 13 years back my mother age was thrice my age and 2 years back she was twice my age then find a) The present age of my mother
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!