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Alona [7]
3 years ago
12

Find the two pairs of integers whose sum is -6

Mathematics
1 answer:
MaRussiya [10]3 years ago
5 0

Answer:

1, -7

Step-by-step explanation:

any whole number(s) that result in -6 will be your answer.

x+y= -6

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The circumference of a circle is 30 pi. what is the radius of the circle
NARA [144]
Formula to find circumference is ;
2\pi \: radius
Since the given circumference is 30 pi then,

30 pi = 2 pi radius.
30 = 2 radius
radius = 30/2
radius = 15

The radius is 15 for a circle tha has circumference of 30 pi
8 0
3 years ago
according to the fundamental theorem of algebra how many roots exits for the polynomial function. f(x)=8x^7-x^5+x^3+6
algol13

Answer:

The Fundamental Theorem of Algebra (FTOA) tells us that any non-zero polynomial in one variable with complex (possibly real) coefficients has a complex zero.

A straightforward corollary, often stated as part of the FTOA is that a polynomial in a single variable of degree  

n

>

0

with complex (possibly real) coefficients has exactly  

n

complex (possibly real) zeros, counting multiplicity.

To see that the corollary follows, note that if  

f

(

x

)

is a polynomial of degree  

n

>

0

and  

f

(

a

)

=

0

, then  

(

x

−

a

)

is a factor of  

f

(

x

)

and  

f

(

x

)

x

−

a

is a polynomial of degree  

n

−

1

. So repeatedly applying the FTOA, we find that  

f

(

x

)

has exactly  

n

complex zeros counting multiplicity.

Discriminants

If you want to know how many real roots a polynomial with real coefficients has, then you might like to look at the discriminant - especially if the polynomial is a quadratic or cubic. Ths discriminant gives less information for polynomials of higher degree.

The discriminant of a quadratic  

a

x

2

+

b

x

+

c

is given by the formula:

Δ

=

b

2

−

4

a

c

Then:

Δ

>

0

indicates that the quadratic has two distinct real zeros.

Δ

=

0

indicates that the quadratic has one real zero of multiplicity two (i.e. a repeated zero).

Δ

<

0

indicates that the quadratic has no real zeros. It has a complex conjugate pair of non-real zeros.

The discriminant of a cubic  

a

x

3

+

b

x

2

+

c

x

+

d

is given by the formula:

Δ

=

b

2

c

2

−

4

a

c

3

−

4

b

3

d

−

27

a

2

d

2

+

18

a

b

c

d

Then:

Δ

>

0

indicates that the cubic has three distinct real zeros.

Δ

=

0

indicates that the cubic has either one real zero of multiplicity  

3

or one real zero of multiplicity  

2

and another real zero.

Δ

<

0

indicates that the cubic has one real zero and a complex conjugate pair of non-real zeros.

Step-by-step explanation:


3 0
3 years ago
tickets at a particular movie theatre have different rates for adults and children. on a friday the theatre sold 4 adult tickets
maria [59]
Using elimination method. Using substitution will cause some fraction problems.

c- child tickets
a- adult tickets

4a + 7c = $83
5a + 6c = $90

multiply by -5

-20a - 35c = -$415
20a + 24c = $360

-11c= -$55
c = $5 child tickets

4a + 7(5)= $83

4a + 35 = $83

4a = $48

a= $12 adult tickets

4 0
3 years ago
What is 706 × 76? cuz u suck at math
blsea [12.9K]
53,656 is the answer.
4 0
3 years ago
Read 2 more answers
What is the x coordinate of the solution? <br> What is the y coordinate of the solution?
Alexus [3.1K]

Answer:

the x coordinate is 1

the y coordinate is 1

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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