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Katyanochek1 [597]
3 years ago
9

(p^3 - 56p + 57) ÷ (p + 8) using synthethic division

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0
We need to perform division given the following expression:

                            p²    - 8p   + 8
 
                          -------------------------------
              (p+8) 
√ (p³  + 0p²  -56p  +57)
                           - (p³  + 8p²)
                            ---------------------------- 
                               0p³  - 8p² -56p   + 57
                                      - (-8p    - 64p)
                                     --------------------------
                                         0p²   + 8p + 57
                                                - (8p  + 64)
                                             --------------------------
                                                    0  - 7 

The answer is p²-8p+8 + (-7/p³-56p+57).
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Find the area of the shaded region. Round to the nearest tenth.
sukhopar [10]

Answer:

Step-by-step explanation:

r = 8.35 ft

area of circle = πr² = 69.7225π ft²

θ = 5π/9 radians

area of unshaded segment = r²(θ-sinθ)/2 ≅ 26.51 ft²

shaded region = 69.7225π - 26.51 ≅ 192.53 ft²

7 0
2 years ago
A sporting good store is offering an additional 30% off all clearance items and she purchases a pair of running shoes on clearan
Talja [164]

Answer:

Total discount = $39.50

                  or 46.47 %

Step-by-step explanation:

First we need to figure out what she will pay for the shoes.  She is getting 30 percent off the 65 dollars.

Discount = price * percent off

                = 65*.3

                = 19.50

The cost of her shoes is the price minus the discount.

Cost = 65- 19.5

        = 45.50


To find the total discount, take the original price and subtract the final cost.

Total discount = 85-45.50

                        = 39.50

To find the total percent discount, we use the formula

      total percent discount = (original - final)/original * 100

                                             = (85- 45.50)/85 * 100

                                             = 39.5/85*100

                                              = 46.47%

4 0
3 years ago
22÷1/5 (urgent) I need this ​
castortr0y [4]

Answer:

110

Step-by-step explanation:

easy matth to me

tip:22÷1/5 is 22x5

6 0
3 years ago
Read 2 more answers
Find the two angles and show work!!!
USPshnik [31]

Answer:

x=23.5

Step-by-step explanation:

90=25-x/2+18

combine like terms

90=43-x/2

subtract 43 from both sides

47= -×/2

47/2= 23.5

x=23.5

or

90-25= 65

65-18=47

47/2=23.5

5 0
3 years ago
three adults and four children must pay $107. two adults and three children must pay $76. find the price of the adult ticks and
jenyasd209 [6]
Assigning "a" as cost of adult tickets and "c" the cost of children's tickets.

3a + 4c = 107
2a + 3c = 76

elimination method
2(3a + 4c = 107)
-3(2a + 3c = 76)

6a + 8c = 214
-6a - 9c = -228
----------------------
0 - c = - 14
c = 14

Then 2a + 3(14) = 76
2a = 76 - 42
2a = 34
a = 34/2
a = 17


8 0
3 years ago
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