A polynomial equation with rational coefficients has the roots 7 + *sqrt* 3 , 2 - *sqrt* 6. Find two additional roots. a. 7 - *sqrt* 3 , 2 + *sqrt* 6
b. 3 - *sqrt* 7 , 6 + *sqrt* 2
c. 7 + *sqrt* 3 , 2 - *sqrt* 6
d. 3 + *sqrt* 7 , 6 - *sqrt* 2
Answers
Answer:
option: A
Step-by-step explanation:
" if for a polynomial with rational coefficients has irrational roots then these irrational roots will always appear in pair " .
we are given that and
are two roots of a polynomial equation with rational coefficients, then it's complex conjugate is also a root of this polynomial equation i.e. '
' and '
' are also roots of this polynomial equation.
Hence, option A is correct.
The conjugate of 7 +√ 3 is 7 - √ 3 and the conjugate of 2 - √ 6 is 2 + √ 6.
Answer:
A ) 7 - √ 3 , 2 + √ 6
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Answers
Answer:
14
Step-by-step explanation:
In total, Emily has yards of ribbon.
Each bow requires yards of ribbon
To figure out, we divide total amount of ribbon by amount each bow needs:
Number of bows =
So the maximum number of "complete" bows Emily can make is 14
Final answer:
Emily has a total of 27 1/4 yards of ribbon. Each bow requires 1 5/6 yards, therefore Emily can make 14 bows with the ribbon she has.
Explanation:
To solve this problem, we first need to determine the total amount of ribbon that Emily has. She has one piece that is 23 yards long and another that is 4 1/4 yards long. To find the total, we add these two lengths together:
23 yards + 4 1/4 yards = 27 1/4 yards
Each bow Emily makes needs 1 5/6 yards of ribbon. To find out how many bows she can make, we divide the total amount of ribbon by the amount needed for each bow:
27 1/4 yards ÷ 1 5/6 yards = 14.6(around)
Since Emily cannot make a fraction of a bow, we round down to the nearest whole number. So, Emily can make 14 bows.
Learn more about Division here:
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Answers
(desired outcomes)/(total possible outcomes)
ok so total possible is 6 since 6 numbers
less than 3 means all numbers less than 3 not including 3
there are 2 (1 and 2 are less than 3)
2=desired outcomes
6=total possible
2/6=1/3
probability is 1/3
Answers
And since it is multiplied, there is a common ratio and so it is a geometric sequence.
3 x 1.1 = 3.3
3.3 x 1.1 = 3.63
And it goes on.
Hope this helps :)
hope this helps :)
Answers
Answers
Answer:
at x= 0 and x= 1 and not at x= 3.
Step-by-step explanation:
We have the functions, and
.
It is given that,
At x=0, x=1, and x=3,
i.e.
i.e.
i.e.
i.e. x= 0 and (x-1)= 0
i.e. x= 0 and x= 1.
Also, after plotting the graphs of both the functions, we see their intersection point are (0,1) and (1,3).
Thus, we get that at x= 0 and x= 1 and not at x= 3.
Answers
Answer:
3. x = 5
4. -5 1/25
Step-by-step explanation:
-3x+5=-10
Subtract the 5 from both sides...
-3x = -15
Divide by -3
x = 5
For 4, it's just multiplying.
-2 4/5 in improper form is -14/5
1 4/5 in improper form is 9/5
-14/5 x 9/5 is -126/25
-126/25 can be -5.04 or -5 1/25.
Answer:
3. a (x=5)
4. -126/25
Step-by-step explanation:
3. -3x+5=-10
-3x=-10-5
-3x=-15
x=5
4. -(-2 4/5) x 1 4/5
(-14/5) x 9/5
= -126/25