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Aleksandr [31]
2 years ago
5

9x2 - 21x + 4x4 - 9 by 2x - 3​

Mathematics
1 answer:
Alinara [238K]2 years ago
4 0

9514 1404 393

Answer:

  2x^3 +3x^2 +9x +3

Step-by-step explanation:

Polynomial long division works best with the polynomials written in standard form, with appropriate 0 terms added where necessary to account for all of the powers of the variable.

As shown in the "Hints," the quotient terms are the ratio of the leading dividend term and the leading divisor term. The product of the quotient term and divisor is subtracted from the dividend to get the new dividend at each step.

The result of your division is 2x^3 +3x^2 +9x +3.

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What the slope of(7,3) (6,-2)​
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slope =  \frac{ - 2 - 3}{6 - 7}  \\

slope =  \frac{ - 5}{ - 1}  \\

slope = 5

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6 0
2 years ago
Jeffery babysits for 4 dollars per hour, he also works as a math tutor for 7 dollars per hour. He is only allowed to work 13 hou
Oksana_A [137]

Given:

Jeffery babysits for 4 dollars per hour and works as a math tutor for 7 dollars per hour.

He is only allowed to work 13 hours total per week.

He wants to make at least 65 dollars.

To find:

The system of inequalities to represent this situation.

Solution:

Let x be the number of hours he babysits per week and y be the number of hours h works as a math tutor.

He is only allowed to work 13 hours total per week.  It means sum of x and y must be less than or equal to 13.

x+y\leq 13

He wants to make at least 65 dollars. It means total earnings must be greater than or equal to 65.

4x+7y\geq 65

Number of hours can not be negative.

x\geq 0, y\geq 0.

Therefore, the required system of inequalities contains some equations,  x+y\leq 13,4x+7y\geq 65 and x, y\geq 0.

4 0
2 years ago
Subtract (9.6x10^9)-(8.9x10^9)
KengaRu [80]

Answer:

(9.6x10^9)-(8.9x10^9) = 7×10^8

Step-by-step explanation:

7 0
3 years ago
Can someone help please
Ira Lisetskai [31]
Hello there! I can help you! The formula for compound interest is P(1 + r)^t, where P= principal (initial amount), r = interest rate (in decimal form), and t = time (in years). Let's do this step by step. First off, we add the rate into 1. 4% is the interest rate (0.04 in decimal form). 1 + 0.04 is 1.04. Now, what we will do is raise that number to the 2nd power, because the time that elapses is 2 years. 1.04² is 1.0816. That's that. Now, multiply 7,500 to find the total amount of money. 1.0816 * 7,500 is 8,112. There. Toby's savings account balance in 2 years is £8,112.

Note: To solve for compound interest questions like it, add 1 to the percentage rate in decimal form, raise that number to a power based on the number of years (for example, raise the number to the 7th power if we are looking for the balance after 7 years), and then multiply that number by the starting amount. After you raise the number by a power, there may be a lot of numbers behind it. Whatever you do, DO NOT delete the number. Keep it there and multiply it by the principal.
5 0
2 years ago
Solve for the system of equations put them in order
erastova [34]

Answer:

1. Substitution/Elimination 2. Solve For The Variable 3. Distributive Property 4. Isolate the Variable 5. Combine Like Terms

Step-by-step explanation:

youre welcome

4 0
2 years ago
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