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Sladkaya [172]
3 years ago
9

(1 point)

Mathematics
1 answer:
juin [17]3 years ago
7 0

Answer:

60

Step-by-step explanation:

2 times 150

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Chris wants to order DVDs over the internet.
Nuetrik [128]

Step-by-step explanation:

14d +9 <100

14d represents cost for dvds. 9 is the flat rate shipping. all must be less than 100

6 0
3 years ago
Read 2 more answers
The designer also programs a bird with a path that can be modeled by a quadratic function. The bird starts at the vertex of the
Nady [450]

Answer:

-1.2

Step-by-step explanation:

Given that the designer also programs a bird with a path that can be modeled by a quadratic function.

The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).

If we treat this curve as line joining these two points then we can find the slope by the formula

Slope = change in y coordinate/change in x coordinate

Here the points given are

(0,20) and (10,8)

Change in y coordinate = 8-20 = -12\\Change in x coordinate = 10-0 = 10\\Slope = -1.2

Slope of the line that represents the turtle's path

=-1.2

6 0
3 years ago
A number is between 16 and 21. It has prime factors of 2, and 3. What is the number?
Advocard [28]

Answer:18

Step-by-step explanation: 18=2.3.3

6 0
3 years ago
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
Read 2 more answers
Allentown got 2 feet less than twice the amount of snow Georgetown got . Allentown got 3 feet more snow than Georgetown. How man
Mandarinka [93]


x=2y-2

x=y+3

Substitute the second equation into the first

y+3=2y-2

solve for y

y=5

plug into original

x=y+3=5+3=8 or x=2(5)-2=8

Allentown got 8 ft of snow, Georgetown got 5 ft of snow.

4 0
3 years ago
Read 2 more answers
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