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
VARVARA [1.3K]
2 years ago
11

each of 4 family members uses 175 minutes or fewer of their combined family cell phone plan. at the end of the month, the family

does not have any remaining cell phone minutes. solve the inequality x÷ 4<175 to find how many cell phone minutes the family might share each month ​
Mathematics
2 answers:
Mamont248 [21]2 years ago
4 0

Answer:

 

x = ± ∜175 = ± 3.6371

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x^4-(175)=0

Step by step solution :

STEP

1

:

Trying to factor as a Difference of Squares:

1.1      Factoring:  x4-175

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check : 175 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Polynomial Roots Calculator :

1.2    Find roots (zeroes) of :       F(x) = x4-175

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers. The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -175.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,5 ,7 ,25 ,35 ,175

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -174.00    

     -5       1        -5.00        450.00    

     -7       1        -7.00        2226.00    

     -25       1       -25.00       390450.00    

     -35       1       -35.00       1500450.00    

     -175       1       -175.00       937890450.00    

     1       1        1.00        -174.00    

     5       1        5.00        450.00    

     7       1        7.00        2226.00    

     25       1        25.00       390450.00    

     35       1        35.00       1500450.00    

     175       1       175.00       937890450.00    

Polynomial Roots Calculator found no rational roots

Equation at the end of step

1

:

 x4 - 175  = 0

STEP

2

:

Solving a Single Variable Equation:

2.1      Solve  :    x4-175 = 0

Add  175  to both sides of the equation :

                     x4 = 175

                    x  =  ∜ 175  

The equation has two real solutions  

These solutions are  x = ± ∜175 = ± 3.6371  

Two solutions were found :

x = ± ∜175 = ± 3.6371

lawyer [7]2 years ago
4 0
X=urmumgaelooooooooooooooool
You might be interested in
This table represents a quadratic function.
Dimas [21]

Answer: D

Step-by-step explanation:

4 0
3 years ago
If a circle has a diameter of 16 feet, which expression gives its area square feet?
kramer

Answer:

C. 8² ·π

Step by Step Explanation:

A=πr²

6 0
3 years ago
If you follow me you get 10 points.
Bad White [126]

Answer:

OK!!!

Have a nice day!!!!

5 0
3 years ago
Eileen collected 98 empty cans to recycle and Carl collected 82 cans they packed and equal number of canes into each of three bo
marta [7]
To solve this you have to add 98 and 82 together then divide by three so the answer would be 60
6 0
3 years ago
Read 2 more answers
What number has 9 tens, 7 fewer thousands than tens, the same number of hundreds as
wel

Answer:

123456678890

Step-by-step explanation:

I think this is the answer

4 0
3 years ago
Other questions:
  • 4x+13x=119 what does x=?<br> x=7
    9·2 answers
  • Alex purchased a new one-year membership at forever fitness. A registration fee of $28 is paid up front, and $15 is paid monthly
    15·2 answers
  • Which composition of transformations below will map figure K onto figure S and then onto figure U?
    7·2 answers
  • Lim x^77-1 overx-1 at x approches 1
    7·1 answer
  • Which of these lines would be perpendicular to a line with a slope of 2/5?
    10·1 answer
  • A 6 by 10 inch rectangle is dilated by 3. what is the area of the dilated rectangle
    5·1 answer
  • All you need is in the photo ​
    12·1 answer
  • F (x) = 2x^2 - 5x - 3
    5·1 answer
  • The price of gasoline rose from $3.50 to $3.71 in one week. By what percent did the gas price rise?
    6·1 answer
  • I need help with this what is 4x58
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!