What is the relationship between the 6s in the number 7,664

Which statement answers this question: Casey sells half of his video games. The next day he buys 3 more. He now has 27. How many

Usimov [2.4K]

Answer:

D

Step-by-step explanation:

Casey has some number of video games at the beginning called x. He sells half which is 1/2 x. Then he buys 3 more so 1/2 x + 3. This is equal to his current amount which is 27. So 1/2 x + 3 = 27. Solve for x.

1/2 x + 3 = 27

1/2 x =24

x = 48

3 0

4 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

How many significant figures does the value 0.080 have?

Debora [2.8K]

8•10^-2
Hope this helps! :)

5 0

4 years ago

Read 2 more answers

Find the probability of winning second prize (that is, picking five of the six winning numbers) with a 6/44 lottery, as played i

WINSTONCH [101]

Answer:

The answer to the question is

The probability of winning second prize (that is, picking five of the six winning numbers) with a 6/44 lottery, as played in Connecticut, Missouri, Oregon, and Virginia is 3.49905×10⁻⁵≡ 0.00003 to five decimal places.

Step-by-step explanation:

The probability of winning the second prize or picking five of the six winning numbers) with a 6/44 lottery is given by

Number of 5 sets of numbers in 44 = ₄₄C₅ = 1086008 ways

Number of 5 set of winning numbers in 44 = 1

Number of ways of picking the last number to make it 6 numbers is given by

44 - 5 lucky numbers - The 1 winning number = 38

Therefore, there are 38 ways from 1086008 of selecting the 5 second place winning numbers

Therefore the probability of picking the 5 second place winning numbers is $\frac{38}{1086008}$ = 3.49905×10⁻⁵

3 0

4 years ago

Q3 Which statement is true about the volumes of cylinders 1 and 2 shown below?

VashaNatasha [74]

Answer:

The volume of cylinder 2 is greater

4 0

3 years ago