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Gnoma [55]
3 years ago
15

Marcos has 78 toys cars he arranged the toys car into 6 days equal groups

Mathematics
1 answer:
fenix001 [56]3 years ago
6 0

Answer: 13 groups

Step-by-step explanation:

78/6 = 13

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Show all work to factor x^4 − 17x^2 + 16 completely.
Dmitrij [34]

Answer:

x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

Step-by-step explanation:

At first, let us find the first two factors of x^{4}-17x^{2} +16

∵ The sign of the last term is positive

∴ The middle signs of the two factors are the same

∵ The sign of the middle term is negative

∴ The middle signs of the two factors are negative

∵ x^{4} = x² × x² ⇒ first terms of the two factors

∵ 16 = -1 × -16 ⇒ second terms of the two factors

∵ x²(-1) + x²(-16) = -x² + -16x² = -17x² ⇒ the value of the middle term

∴ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

Now let us factorize each factor

→ The factors of the binomial a² - b² (difference of two squares) are

   (a - b) and (a + b)

∵ x² - 1 is the difference of two squares

∴ Its factors are (x - 1) and (x + 1)

∵ x² - 16 is the difference of two squares

∴ Its factors are (x - 4) and (x + 4)

∵ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of (x² - 1) and (x² - 16)

∵ (x² - 1) and (x² - 16) are the factors of x^{4}-17x^{2} +16

∴ (x -1), (x + 1), (x - 4), and (x + 4) are the factors of x^{4}-17x^{2} +16

∴  x^{4}-17x^{2} +16 = (x -1)(x + 1)(x - 4)(x + 4)

8 0
2 years ago
8. Mitchell bought 600 shares of Centerco two years ago $34.50 per share. He sold them yesterday for $38.64 per share.
g100num [7]

Answer:

a. percentage increase in price per share = 12%

b. The total purchase price for the 600 shares is $20,700

c.  The profit for the 600 shares is $2,484

d.  The profit for the 600 shares is $2,484

Step-by-step explanation:

a. Initial price per share    =  $34.50

Current price per share = $38.64

Change or increase in price =  $38.64 - $34.50 = $4.14

percentage increase in price per share = 12/34.50 x 100% = 12%

b. Total number of shares     =  600

    Price                                   =   $34.50

   The total purchase price for the 600 shares = ($34.5x600) = $20,700

c.  Total cost of 600 shares   =  ($34.5x600) = $20,700

     Total revenue from sales =  ($38.64x600) = $23,184

     Profit from the 600 shares = Total selling price - total cost price

                                                  = $23,184 - $20,700 = $2,484

d.  Total cost of 600 shares   =  ($34.5x600) = $20,700

     Total revenue from sales =  ($38.64x600) = $23,184

     Profit from the 600 shares = Total selling price - total cost price

                                                  = $23,184 - $20,700 = $2,484

7 0
3 years ago
Do you guys know the angle?
Paha777 [63]
90 degrees :).........
6 0
2 years ago
I need help im not understanding how to do this
galina1969 [7]

Answer:

(c, b)

Step-by-step explanation:

Add the coordinates together and divide by 2

x coordinates: 2c + 0 = 2c, divided by 2 = c

y coordinates: 0 + 2b = 2b, divided by 2 = b

3 0
2 years ago
Read 2 more answers
Karen is seven years older than suzanne.Four years ago,karen was twice as old as suzanne was.How are they now?
EleoNora [17]
K-Karen\ age\\S-Suzanne\ age\\K-4-Karen\ age\ 4\ years\ ago\\S-4-Suzanne\ age\ 4\ years\ ago\\\\  \left\{\begin{array}{ccc}K=S+7\\K-4=2(S-4)\end{array}\right\\\left\{\begin{array}{ccc}K=S+7&(1)\\K-4=2S-8&(2)\end{array}\right\\\\subtitute\ (1)\ to\ (2):\\\\(S+7)-4=2S-8\\S+7-4=2S-8\\S+3=2S-8\ \ \ \ |subtract\ 3\ from\ both\ sides\\S=2S-11\ \ \ |subtract\ 2S\ from\ both\ sides\\-S=-11\\\boxed{S=11}

Put\ the\ value\ of\ S\ to\ (1):\\\\K=11+7\\\boxed{K=18}\\\\\left\{\begin{array}{ccc}K=18\\S=11\end{array}\right\\\\Answer:\ Karen\ does\ 18\ years\ and\ Susanne\ does\ 11\ years.
3 0
3 years ago
Read 2 more answers
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