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defon
3 years ago
14

Need help solving a math problem 4 1/2 - 5

Mathematics
1 answer:
777dan777 [17]3 years ago
7 0
Convert the mixed numbers to improper fractions, then find the LCD and combine.

Exact Form:
−1/2

Decimal Form:
−0.5
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Find the inverse of the function. <br><br> f(x) = 7x + 2
solmaris [256]
F ( x ) = 7 x + 2
y = 7 x + 2
- 7 x = - y + 2  /*(-1)
7 x = y - 2   / : 7
x = y/7 - 2/7 = ( y - 2 ) / 7
The inverse of the function is:
f^(-1) ( x ) = ( x - 2 ) /7 

3 0
3 years ago
Let f be a functions of degree 4 whose coefficients are real numbers: two of its zeros are - 3 and 4 - i. Explain why one of the
kvasek [131]

Answer:

Step-by-step explanation:

We have the following theorem, if f is a polynomial with real coefficients, we can factor it completely in factors of the degree at most 2.

Consider first a polynomial of degree two, hence it is a polynomial of the form ax^2+bx+c. The cuadratic formula tells us that the solutions are of the form

x = \frac{-b\pm \sqrt[]{b^2-4ac}}{2a}.

Note that square root, over the reals, tells us that the are only real solutions if b^2-4ac \geq 0. If that is not the case, say it's negative, the solution are complex. Then, the solutions are of the form

x = \frac{-b \pm i \sqrt[]{4ac-b^2}}{2a}. NOte that this means that if we have a complex number of the form a+bi that is a solution, then the number a-bi (who is called the complex conjugate) is also a solution.

Recall that when we have a polynomial f(x) whose a zero is the number c, then we can factor f as follows f(x) = (x-c) * p(x) where p(x) is another polynomial of lesser degree .

So far, we know that -3 and 4-i are zeros of the function f. Note that we are missing two zeros. But, since complex numbers are zeros of polynomial only by pairs (that is the number and its conjugate are zeros), then, we must have that one of the missing 2 zeros is a real number. We have 4-i as a zero, then, its complex conjugate must be also a zero, i.e 4+i is a zero.

8 0
3 years ago
Dividends Per Share Seventy-Two Inc., a developer of radiology equipment, has stock outstanding as follows: 60,000 shares of cum
Sergeeva-Olga [200]

The dividends per share on each class of stock for each of the four years for Seventy-Two Inc. are as follows:

<h3>Cumulative Preferred Stock:</h3>

                                            Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $32,000    $40,000    $36,000        $36,000

Outstanding shares          60,000      60,000      60,000           60,000

Dividend per share           $0.53       $0.67          $0.60             $0.60

<h3>Common Stock:</h3>

                                          Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $0              $32,000     $44,000       $64,000

Outstanding shares        400,000    400,000     400,000       400,000

Dividend per share        $0              $0.08            $0.11              $0.16

<h3>Data and Calculations:</h3>

                              3% Cumulative Preferred       Common Stock

Outstanding shares          60,000                        400,000

Par Value                            $20                              $25

Total value                       $1,200,000              $10,000,000

Annual dividend            $36,000 ($1,200,000 x 3%)

                                            Year 1       Year 2        Year 3           Year 4

Distributed Dividends    $32,000    $72,000    $80,000       $100,000

Cumulative Preferred      $32,000    $40,000    $36,000        $36,000

Common Stock                $0              $32,000    $44,000        $64,000

Learn more about dividends at brainly.com/question/25845157

#SPJ1

3 0
2 years ago
Malachi has sticks that represent 4 different segment lengths: 3 inches, 4 inches, 5 inches, and 6 inches.
Dahasolnce [82]

Answer:

Create a triangle with the 3-, 4-, and 5-inch sticks and measure the angles to show that one angle is a right angle.

Step-by-step explanation:

6 0
2 years ago
If using the method of completing the square to solve the quadratic equation x squared -20x+24=0, which number would have to be
Ksivusya [100]

Oksuru   k diyaf         ramincok ani kasilm asiyla olusan bir refle kstir.

6 0
2 years ago
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