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2 years ago

Write the expression as a power

Mathematics

1 answer:

Natasha_Volkova [10]2 years ago

8 0

The expression given in the question is expressed as a power is x^10

According to the law of indices, multiplication of powers becomes addition as shown:

$a^m \times a^n = a^{m+n}$

Given the following expressions;

$xx^4x^4x$

This can also be expressed as:

$= x \times x^4 \times x^4 \times x\\= x^{1+4+4+1}\\=x^{5+5}\\=x^{10$

This shows that the expression as power is x^10

Learn more here: brainly.com/question/20298728

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Find the fourth-degree polynomial function with zeros 4, -4, 4i , and -4i . Write the function in factored form.

Iteru [2.4K]

Given:

A fourth-degree polynomial function has zeros 4, -4, 4i , and -4i .

To find:

The fourth-degree polynomial function in factored form.

Solution:

The factor for of nth degree polynomial is:

$P(x)=(x-a_1)(x-a_2)...(x-a_n)$

Where, $a_1,a_2,...,a_n$ are n zeros of the polynomial.

It is given that a fourth-degree polynomial function has zeros 4, -4, 4i , and -4i. So, the factor form of given polynomial is:

$P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))$

$P(x)=(x-4)(x+4)(x-4i)(x+4i)$

$P(x)=(x-4)(x+4)(x^2-(4i)^2)$ $[\because a^2-b^2=(a-b)(a+b)]$

On further simplification, we get

$P(x)=(x-4)(x+4)(x^2-4^2i^2)$

$P(x)=(x-4)(x+4)(x^2+16)$ $[\because i^2=-1]$

Therefore, the required fourth degree polynomial is $P(x)=(x-4)(x+4)(x^2+16)$ .

6 0

2 years ago

You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per

ANTONII [103]

Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

$a = p(1 + \frac{r}{n} ) {}^{nt}$

where p is the original amount.
R is the amount of percentage compounded
N is amount of times compounded per year.
T is how long the interest last.

P is 400,00p

T is 12% or 0.12

N is 4 since it is compounded quarterly

T is 5.

Plug the values in

$400000(1 + \frac{0.12}{4} ) {}^{20}$

Ypu get

$722444.49386776

6 0

3 years ago

For the problem, use the discriminant to determine the number of real solutions for the equation. Then, find the solutions and c

Ksivusya [100]

Answer:

Discriminant = 55.2 > 0 -> 2 real solutions

Solutions: t1 = -1.1663 s and t2 = 0.35 s

The solution t1 doesn't make sense for this problem, as we can't have a negative value for the time.

So the solution is t2 = 0.35 s

Step-by-step explanation:

To find the time when the ball will reach the height of 2 meters, we just need to use the value of h = 2 in the equation given. So, we have that:

−4.9t^2 − 4t + 4 = 2

−4.9t^2 − 4t + 2 = 0

For this equation, we have the constants a = -4.9, b = -4 and c = 2. So the discriminant Delta is:

Delta = b^2 - 4ac = 16 + 39.2 = 55.2

sqrt(Delta) = 7.4297

As Delta > 0, we have 2 real solutions

t1 = (-b + sqrt(Delta)) / 2a = (4 + 7.4297) / (-9.8) = -1.1663 s

t2 = (-b - sqrt(Delta)) / 2a = (4 - 7.4297) / (-9.8) = 0.35 s

Number of real solutions: 2

Solutions: t1 = -1.1663 s and t2 = 0.35 s

The solution t1 doesn't make sense for this problem, as we can't have a negative value for the time.

So the solution is t2 = 0.35 s

8 0

2 years ago

write five pairs of integers (a,b) such that a divided / b is equal to 2 is is equal to -3 one such pair is is 6 and -2 because

nataly862011 [7]

Answer:

(10,5), (-12,-6), (-18, -9), (-8, -4), (20,10)

(-15, 5), (-18, 6), (-21,7), (33, -11), (24, -8)

Step-by-step explanation:

10/5=2, -12/-6=2, -18/-9=2, -8/-4=2, 20/10=2

-15/5= -3, -18/6= -3, -21/7= -3, 33/-11= -3, 24/-8= -3

6 0

3 years ago

Read 2 more answers

A midpoint of sequence of numbers.

Tema [17]

This would be a median

4 0

3 years ago