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vladimir2022 [97]
3 years ago
5

Solve the system by substitution. Check your solution.

Mathematics
1 answer:
zvonat [6]3 years ago
4 0
B. (9,126)

<span>y + 18 = 16x
=>y=16x-18 
0.5x + 0.25y = 36 (multiply both sides by 4)
=>2x+y = 144
Substitute y=16x-8

=>2x+16x-8=144
=>18x=152
=>x=152/18=9 
y=16x-18
=>y=16(9)-18
=>y=144-18=126 
Answer: x=9 and y=126</span>
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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
Mamont248 [21]

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

4 0
2 years ago
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Does anyone know the answer???
GaryK [48]

Answer:the answer would be B

Step-by-step explanation:

the operation is +

6 0
3 years ago
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A baker is selling a ton of pies. She puts them in crates and boxes. There are 65 crates and 121 boxy. Each crate contains 43 ap
marta [7]

Let's first find the number of apple pies.

apple pies = 65 crates x 43 apple pies per crate = 2795 apples pies

If each apple pie cost $12 then...

money from apple pies = 2795 apple pies x $12 = $33540

total pies sold = 2795 apple pie + 121 boxes x 76 sweet potato pies = 11991 pies

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3 years ago
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I am very stuck with this
Bingel [31]

Answer:

see explanation

Step-by-step explanation:

To multiply the vector by a scalar, multiply each of the elements by the scalar.

To add 3 vectors add the corresponding elements of each vector

2a + 3b + 4c

= 2\left[\begin{array}{ccc}2\\3\\\end{array}\right] + 3\left[\begin{array}{ccc}-4\\1\\\end{array}\right] + 4\left[\begin{array}{ccc}3\\2\\\end{array}\right]

= \left[\begin{array}{ccc}4\\6\\\end{array}\right] + \left[\begin{array}{ccc}-12\\3\\\end{array}\right] + \left[\begin{array}{ccc}12\\8\\\end{array}\right]

= \left[\begin{array}{ccc}4-12+12\\6+3+8\\\end{array}\right]

= \left[\begin{array}{ccc}4\\17\\\end{array}\right]

8 0
3 years ago
State the various transformations applied to the base function f(x)=|x| to obtain a graph of the function g(x) = |x| − 2.
Molodets [167]

Horizontal shift of 1 unit to the left and a vertical shift downward of 2 units.

<h3>Transformation of function</h3>

Transformation technique is a way of changing the position of an object on an xy-plane.

Given the parent function of a modulus function f(x) = |x|, the graph of the function g(x) = |x| - 2 shows a vertical translation of the parent function down by 2 units.

The resulting graph of the translated function is as shown below

Learn more on translation here: brainly.com/question/1046778

#SPJ1

6 0
1 year ago
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