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DedPeter [7]
2 years ago
7

Is x-10 a factor of f(x)=5x^3+60x^2+109x+90

Mathematics
1 answer:
RUDIKE [14]2 years ago
4 0

Answer:

No

Step-by-step explanation:

Given values are

f(x) = 5x^3+60x^2+109x+90

x = -10.

Given Polynomial is 5x^3+60x^2+109x+90 .

= (90)+(5.x^3)+(60.x^2)+(109.x)

By putting x = (-10) we can rewrite it as

= (90)+(5.(-10)^3)+(60.(-10)^2)+(109.(-10))

= (90)+(-5000)+(6000)+(-1090)

= 0

The remainder of given polynomial is 0.

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Figure 22: Find the total yellow area.
Pachacha [2.7K]

Step-by-step explanation:

area of rectangle = l × h

= 9 × y

= 72

9 × y = 72

y = 72÷9

y = 8cm

area of circle = 50.27cm²

total area of the logo = 2(50.27) + 72

= 100.54 + 72

= 172.54cm²

3 0
2 years ago
Sarah bought a TV for $250. Three years later she sold it for $180. Work out her percentage loss.
Anna71 [15]
70/250 x 100
Answer: 28%
3 0
2 years ago
You roll a pair of honest dice. If you roll a total of 7, you win $18; if you roll a total of 11, you win $54; if you roll any o
amm1812
Answer: -1
The negative value indicates a loss

============================================================

Explanation:

Define the three events
A = rolling a 7
B = rolling an 11
C = roll any other total (don't roll 7, don't roll 11)

There are 6 ways to roll a 7. They are
1+6 = 7
2+5 = 7
3+4 = 7
4+3 = 7
5+2 = 7
6+1 = 7
Use this to compute the probability of rolling a 7
P(A) = (number of ways to roll 7)/(number total rolls) = 6/36 = 1/6
Note: the 36 comes from 6*6 = 36 since there are 6 sides per die

There are only 2 ways to roll an 11. Those 2 ways are:
5+6 = 11
6+5 = 11
The probability for event B is P(B) = 2/36 = 1/18

Since there are 6 ways to roll a "7" and 2 ways to roll "11", there are 6+2 = 8 ways to roll either event. 
This leaves 36-8 = 28 ways to roll anything else
P(C) = 28/36 = 7/9

-----------------------------

In summary so far,
P(A) = 1/6
P(B) = 1/18
P(C) = 7/9

The winnings for each event, let's call it W(X), represents the prize amounts.
Any losses are negative values
W(A) = amount of winnings if event A happens 
W(B) = amount of winnings if event B happens
W(C) = amount of winnings if event C happens
W(A) = 18
W(B) = 54
W(C) = -9

Multiply the probability P(X) values with the corresponding W(X) values
P(A)*W(A) = (1/6)*(18) = 3
P(B)*W(B) = (1/18)*(54) = 3
P(C)*W(C) = (7/9)*(-9) = -7

Add up those results
3+3+(-7) = -1

The expected value for this game is -1.
The player is expected to lose on average 1 dollar per game played.


Note: because the expected value is not 0, this is not a fair game.


7 0
3 years ago
Read 2 more answers
10. Katie, Ralph, and Juan are tossing a football. Katie is 22.5 feet
lisov135 [29]

Answer: Yes

Step-by-step explanation:

See attached file. Brainly did not allow me to send my explanation normally. Sorry for the trouble!

8 0
2 years ago
HEEEEEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPP WITH ANSWER PLZZZZ
earnstyle [38]
First, find the area of each of the prisms sides

5 by 5.5 = 27.5

3 by 5.5 = 16.5

4 by 3 cut in half = 6 (theres 2 of thoses so 12)

4 by 5.5 = 22

Add up the products and the surface area is 78 units

Post brainliest if this helped :)
4 0
3 years ago
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