The possible rational roots of
5z^3−9z^2−5z+3
are =
(List all possible roots, separated by commas. Enter positive
and negative roots separately)

Answer:

Step-by-step explanation:

jjjj

According to the question, Siobhan, an entrepreneur, notices opportunities and decides how to mobilize the resources necessary to produce new and improved goods and services.

Explanation:

Entrepreneur is a term used to describe an individual who has the ability to notice opportunities and decide how to mobilize the resources necessary to produce new and improved goods and services. Entrepreneurs have the skills and resources to turn their ideas into profitable businesses, which can benefit society by creating jobs and improving standards of living.

What is entrepreneurship?

Entrepreneurship is the practice of creating, managing, and growing a new business venture in order to generate profit or have a social impact. Entrepreneurship involves identifying a need in the market and creating a product or service that meets that need. Entrepreneurs take calculated risks and work hard to develop and grow their businesses. They may work independently or as part of a team and may be involved in every aspect of the business, from marketing and sales to operations and finance.

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Answer:

44 pages

Step-by-step explanation:

To calculate 70% of 147, divide 147 by 100 to find the number of pages per 1%, then mulitply by 70 to find 70%

(147 ÷ 100) x 70 = 102.9 = 103 (rounded to the nearest integer)

To calculate how many pages are left, subtract 102.9 from 147:

147 - 103 = 44

Answer: C=0

Step-by-step explanation:

expand \(5\left(2c-3\right)\) : \(10c-15\)

expand \(3\left(3c\:-\:5\right)\) : \(9c-15\)

\(10c-15=9c-15\)

add 15 on both sides

\(10c-15+15=9c-15+15\)

simplify

\(10c=9c\)

\(\mathrm{Subtract\:}9c\mathrm{\:from\:both\:sides}\)

\(10c-9c=9c-9c\)

simplify

\(c=0\\\)

Answer:

C=0

Step-by-step explanation:

Hope it helps.

Answer:

i think its b

Step-by-step explanation:

Answer:

yellow(1/3)

............

Answer:

\(x^2+5x+4+\dfrac{3x-8}{x^2+5x-4}\)

Step-by-step explanation:

The dividend is the polynomial which has to be divided.

The divisor is the expression by which the dividend is divided.

Given:

Following the steps of long division, divide the given dividend by the divisor:

\(\large \begin{array}{r}x^2+5x+4\phantom{)}\\x^2+5x-4{\overline{\smash{\big)}\,x^4+10x^3+25x^2+3x-24\phantom{)}}}\\{-~\phantom{(}\underline{(x^4+\phantom{(}5x^3-\phantom{(}4x^2)\phantom{-b)))))))))}}\\5x^3+29x^2+3x-24\phantom{)}\\-~\phantom{()}\underline{(5x^3+25x^2-20x)\phantom{)))..}}\\4x^2+23x-24\phantom{)}\\-~\phantom{()}\underline{(4x^2+20x-16)\phantom{}}\\3x-8\phantom{)}\end{array}\)

The quotient q(x) is the result of the division.

The remainder r(x) is the part left over:

The solution is the quotient plus the remainder divided by the divisor:

\(\implies q(x)+\dfrac{r(x)}{b(x)}=\boxed{x^2+5x+4+\dfrac{3x-8}{x^2+5x-4}}\)

The answer of the given question based on the code is , the output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

MATLAB code:
To show that `x³ + 2x - 2` has a root between 0 and 1 and,

to find the root to 3 significant digits using the Newton Raphson Method,

we can use the following MATLAB code:  

Defining the function

f = (x)x³ + 2*x - 2;

Plotting the function

f_plot (f, [0, 1]);

grid on;

Defining the derivative of the function

f_prime = (x)3*x² + 2;

Implementing the Newton Raphson Method x0 = 1;

Initial guesstol = 1e-4;

Tolerance for erroriter = 0; % Iteration counter_while (1)

Run the loop until the root is founditer = iter + 1;

x1 = x0 - f(x0)

f_prime(x0);

Calculate the next guesserr = abs(x1 - x0);

Calculate the error if err < tol

Check if the error is less than the tolerancebreak;

else x0 = x1;

Set the next guess as the current guessendend

Displaying the resultfprintf('The root of x³ + 2x - 2 between 0 and 1 is %0.3f\n', x1));

The output of the code will be: The root of x³ + 2x - 2 between 0 and 1 is 0.771

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When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

MATLAB code:

Show that x^3 + 2x - 2 has a root between 0 and 1:

Here is the code to show that x^3 + 2x - 2 has a root between 0 and 1.

x = 0:.1:1;y = x.^3+2*x-2;

plot(x,y);

xlabel('x');

ylabel('y');

title('Plot of x^3 + 2x - 2');grid on;

This will display the plot of x^3 + 2x - 2 from x = 0 to x = 1.

Find the root to 3 significant digits using the Newton Raphson Method:

To find the root of x^3 + 2x - 2 to 3 significant digits using the Newton Raphson Method, use the following code:

format longx = 0;fx = x^3 + 2*x - 2;dfdx = 3*x^2 + 2;

ea = 100;

es = 0.5*(10^(2-3));

while (ea > es)x1 = x - (fx/dfdx);

fx1 = x1^3 + 2*x1 - 2;

ea = abs((x1-x)/x1)*100;

x = x1;fx = fx1;

dfdx = 3*x^2 + 2;

enddisp(x)

When you run the above code in MATLAB, it will display the root of x^3 + 2x - 2 to 3 significant digits.

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Answer:

338

explanation

no of students= 26

no of books read by each this year= 13

total books they have read although = 26×13= 338

Answer: approximately 7.3 kilometers.

Step-by-step explanation:

Using the Pythagorean theorem, we can write:

x^2 = 7^2 + 2^2

x^2 = 49 + 4

x^2 = 53

Taking the square root of both sides, we get:

x = sqrt(53)

Using a calculator or estimating, we find:

x ≈ 7.3 km

So the straight-line distance between Ryan's house and Emmy's house is approximately 7.3 kilometers.

Answer:

4xy +2x +7

Step-by-step explanation:

The perimeter of a triangle is the sum of the lengths of its 3 sides.

Given that the 3 sides have lengths of 4xy, 7 and 2x,

perimeter of triangle

= 4xy +2x +7

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Answer:

47% or47/100

Step-by-step explanation:

The true statement about the receipt of a cash of $12,000 in year 6 at an opportunity cost of capital of 7.2% is C. The present value is $7,907.

The present value of the future cash value of $12,000 can be determined by discounting.

The discount factor can be computed as (1 - 0.072)⁶.

The present value can also be computed using an online finance calculator as follows:

N (# of periods) = 6 years

I/Y (Interest per year) = 7.2%

PMT (Periodic Payment) = $0

FV (Future Value) = $12,000

Results:

Present Value (PV) = $7,907.01

Total Interest = $4,092.9

Thus, the present value of $12,000 at 7.2% discount rate is Option C.

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A. The future value is $18,212

B. The present value is $7,996

C. The present value is $7,907

D. Provide data for tax purposes

This calculation is approximately 0.01145. Therefore, the cube root of 64.6 is approximately 0.01145 larger than the cube root of 64.

To estimate the difference in the cube root of 64.6 compared to the cube root of 64, we can use linear approximation.

Let f(x) be the function representing the cube root, and let x0 be the known value of 64.

The linear approximation of f(x) near x0 can be given by:

f(x) ≈ f(x0) + f'(x0)(x - x0)

To find the derivative of the cube root function, we have:

f(x) = x^(1/3)

Taking the derivative:

f'(x) = (1/3)x^(-2/3)

Now, we substitute x = 64 and x0 = 64 in the linear approximation formula:

f(64.6) ≈ f(64) + f'(64)(64.6 - 64)

f(64) = 4 (since the cube root of 64 is 4)

f'(64) = (1/3)(64)^(-2/3)

f(64.6) ≈ 4 + (1/3)(64)^(-2/3)(64.6 - 64)

Calculating this approximation:

f(64.6) ≈ 4 + (1/3)(64)^(-2/3)(0.6)

Now, we can compute the approximation to find how much larger the cube root of 64.6 is compared to the cube root of 64:

f(64.6) - f(64) ≈ 4 + (1/3)(64)^(-2/3)(0.6) - 4

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Answer:

\(\angle 1\) and \(\angle 3\) are vertical angles and are congruent (have the same measure).

Step-by-step explanation:

\(\angle 1\) and \(\angle 3\) represent a pair of vertical angles. They are opposite angles to two intersecting lines. Vertical angles are always congruent. None of the other answer choices are implied in the figure.

Answer:

Domain = {2, -5, 5, -7 }

Range = { 0, 1 , 3 , 8 }

Answer:

3 - x ≥ 15

Step-by-step explanation:

3 - x ≥ 15

The equation has no solutions when m = 0, and when m ≠ 0, the equation has only one solution.

Here we have the equation:

m*x = 5

If we solve for x, we get:

x = 5/m

So, as long as m is different than zero, we will have one solution.

We can't have m = 0 because we can't divide by zero.

Then:

m > 0 or m < 0.

We have no solutions when m = 0, the equation becomes:

0*x = 5

0 = 5

This equation has no solution

And we never can have infinite solutions.

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An Endure chosen randomly the likelihood of any battery lasting longer than 550 hours is 10.56%.

These steps are used to determine the Z score:

z = (x - μ)/σ

As mentioned in question-

x > 550 and μ = 500, σ = 40:

z = 550 - 500 / 40

z = 1.25

Obtain the p-value from normal distribution chart,

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Thus, an Endure chosen at random the likelihood of any battery lasting longer than 550 hours is 10.56%.

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Answer:

Step-by-step explanation:

4.30/40=$0.1075

Hope this helps :)

0.6%  is the probability of getting a king .

What is probability ?

Probability of K from full 52 card pack = 4/52 = 1/13

Probability of A from the remaining 51 cards = 4/51

“And" in probability means you Multiply.

1/13 x 4/51 = 4/663 = 0.6%

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The probability of at least one of the next four randomly selected births being a boy can be calculated as approximately 0.992.

To find the probability of at least one boy, we can calculate the probability of the complementary event, which is the probability of all four births being girls.

The probability of a single birth being a girl is 0.473, so the probability of all four births being girls is :

\((0.473)^4 = 0.049\)

Therefore, the probability of at least one boy is 1 - 0.049 = 0.951. However, this probability represents the chance for any of the four births to be a boy. Since there are four opportunities for a boy to be born, we need to consider the complement of no boy being born in any of the four births, which is \((1 - 0.951)^4\)≈ \(0.992\\\). Hence, the probability that at least one of the next four births is a boy is approximately 0.992.

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3)  since we don't have the information about the interest paid (I), we cannot determine the rate of interest at this time.

(1) To find the total amount Adrian paid in 36 months, we can multiply the monthly installment by the number of installments:

Total payment A = Monthly installment * Number of installments

              = $375 * 36

              = $13,500

Therefore, Adrian paid a total of $13,500 over the course of 36 months.

(2) In the simple interest formula I = Prt, the letters used represent the following variables:

I: Interest (the amount of interest paid)

P: Principal (the initial amount, or in this case, the car worth)

r: Rate of interest (expressed as a decimal)

t: Time (in years)

(3) To find the rate of interest in percentage, we need more information. The simple interest formula can be rearranged to solve for the rate of interest:

r = (I / Pt) * 100

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Answer:

true

Step-by-step explanation:

Answer:

NMHGJMHBNKJ6T76 5745

Step-by-step explanation:

7657457657776767

Answer:

So You have to minus $39.50-$61.25 to getnegative 11.75

To find the production level that will minimize the average cost, we need to differentiate the cost function with respect to x and set it equal to zero. So:

C'(x) = 0.005x^2 + 242x + 6000
0 = 0.005x^2 + 242x + 6000
Using the quadratic formula, we get:
x = (-242 ± sqrt(242^2 - 4(0.005)(6000))) / (2(0.005))
x = (-242 ± sqrt(146416)) / 0.01
x = (-242 ± 382) / 0.01
x = -14,000 or 27,000

Since the production level cannot be negative, we can discard the negative solution and conclude that the production level that will minimize the average cost is 27,000 units.

To find the minimal average cost, we need to plug the production level back into the cost function and divide by the production level. So:

C(27,000) = 6000 + 242(27,000) + 0.005(27,000)^2
C(27,000) = 6,594,000
Average cost = C(27,000) / 27,000
Average cost = 6,594,000 / 27,000
Average cost ≈ 244.22

Therefore, the minimal average cost is approximately $244.22.
To answer your question, first, let's correct the cost function, which should be in the form of C(x) = Fixed cost + Variable cost. Assuming it is C(x) = 6000 + 242x + 0.005x^2.

A) To find the production level that will minimize the average cost, we need to first determine the average cost function, which is AC(x) = C(x)/x. So, AC(x) = (6000 + 242x + 0.005x^2)/x.

Now, find the first derivative of AC(x) concerning x, and set it equal to zero to find the minimum point:

d(AC(x))/dx = 0

The first derivative of AC(x) is:

d(AC(x))/dx = (242 + 0.010x - 6000/x^2)

Setting this to zero and solving for x will give us the production level that minimizes the average cost:

242 + 0.010x - 6000/x^2 = 0

Now, you can solve for x using numerical methods, such as Newton-Raphson or others. After solving for x, you will get the production level that minimizes the average cost.

B) To find the minimal average cost, plug the production level x you found in part A into the average cost function, AC(x):

Minimal Average Cost = AC(production level)

This will give you the minimal average cost for the given cost function.

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