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Anestetic [448]
3 years ago
8

What is the remainder of (x3 – 6x – 9x + 3) ÷ (x - 3)

Mathematics
2 answers:
daser333 [38]3 years ago
6 0
<span> remainder is f(3) </span>
<span>3^3 - 6*3^2 - 9*3 + 3 </span>
<span>= 27 - 54 - 27 + 3 </span>
<span>= -51</span>
Harlamova29_29 [7]3 years ago
6 0
To do this easily, we will use the Factor and Remainder Theorem. When a polynomial is divided by a binomial, equate the binomial to zero to get the value of x. Then, substitute this x to the polynomial. Whatever the answer is, is the remainder.

x - 3 = 0
x = 3

x^3 - 6x - 9x +3
x^3 -6(3) - 9(3) + 3 = -15

Take its absolute value. The remainder would be 15.
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There is 5 yellow 3 red 4 green 2 blue and 2 white what is the probability of picking white then green
Delicious77 [7]

Answer:

2 (I think)

Step-by-step explanation:

4-2=2

3 0
3 years ago
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Use the equation
My name is Ann [436]
This is the equation for a circle! Start by grouping all the x terms together and do the same with the y terms so you get this: (x^2 - 14x) + (y^2 - 18y) + 105 = 0
Now move the 105 over to the other side to get it out of the way (it is part of the radius so it will be moved over there eventually anyway). Now we have:
(x^2 - 14x) +(y^2 - 18y) = -105.  To complete the square on the x terms, take half the linear term (the 14) which is 7 and square it to get 49.  That's what's added in to complete the square on the x's.  But since you added it on the left, you also have to add it to the -105 on the right:
(x^2 - 14x + 49) + (y^2 - 18y) = -105 + 49 so far.  Now do the same to the y terms by taking half of the linear term (the 18) and squaring it to get 81. That's what's added in on the left so it also has to be added in on the right:
(x^2 -14x + 49) + (y^2 - 18y +81) = -105 + 49 + 81.  Simplifying all of this mess reduces to: (x-7)^2 + (y-9)^2 = 25 which is the equation of a circle with a center of (7, 9) and a radius of 5. Those are so much fun!
4 0
3 years ago
Mandy has an IQ of 115. We know that the mean () IQ is 100 with a standard deviation of 15. There are 100 people in Mandy’s Alc
Alex787 [66]

Answer: 16

Step-by-step explanation:

Given : Mean : \mu=100

Standard deviation : \sigma =15

The value of z-score is given by :-

z=\dfrac{x-\mu}{\sigma}

For x= 115

z=\dfrac{115-100}{15}=1

The p-value : P(z>1)=1-P(z

Now, the number of people smarter than Many is given by :_

100\times0.1586553=15.86553\approx16

Hence, there are 16 members smarter than Mandy.

8 0
4 years ago
1. <br>Solve the quadratic equation using quadratic formula :<br><br>x2 – 7x + 12 = 0​
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Answer:

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Step-by-step explanation:

[7±√(-7)²-4(1)(12)]/2

x = 4, 3

3 0
3 years ago
21 is 1/10 of 2,100 true or false
AlexFokin [52]
The correct answer is
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