Mathematics High School

What is the additive inverse of the polynomial 9xy^2 + 6x^2y – 5x^3?

A.9xy2 – 6x2y + 5x3
B. 9xy2 – 6x2y – 5x3
C. 9xy2 + 6x2y + 5x3
D. 9xy2 – 6x2y + 5x3

Answers

Answer 1

Answer:

The answer is B.

Step-by-step explanation:

Answer 2

The additive inverse of the given polynomial is:

-9xy^2 - 6x^2y + 5x^3

How to find the additive inverse of a polynomial?

The additive inverse of a polynomial would be another polynomial, such that when we add the two, the outcome is zero.

For a given polynomial the additive inverse is given by multiplying the given polynomial by -1.

Here we have:

p(x) = 9xy^2 + 6x^2y – 5x^3

Then the additive inverse is:

q(x) = -p(x) = -9xy^2 - 6x^2y + 5x^3

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Related Questions

Which function is NOT continuous?

a. your altitude as a function of time while flying from reno to dallas?
b. time to travel from miami to pensacola as a function of driving speed?
c. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls?
d. area of a circle as a function of radius.

Answers

The function which is not continuous is C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.
The reason for this is because the number of these balls is discreet, not continuous (meaning that there cannot be 6.5 balls). 

Answer:

C. number of tennis balls that can fit completely inside a particular box as a function of the radius of the tennis balls.

Step-by-step explanation:

Ronnie is scheduling a chess tournament in which each player plays every other player once. He created a table and found that each new player adds more games to the tournament in an arithmetic sequence. Answer this set of project questions regarding the chess games.

table:
# of players | # of games
1 | 0
2 | 1
3 | 3
4 | 6
5 | 10
Which of the following is a recursive rule for the original sequence?
A) an = an-1 + n + 1
B) an = an-1 + n - 1
C) an = an-1 + n
D) an = n2+ n

How many games must be played when 7 players are in the tournament?

Answers

1) According to the table represented above, the number of games that can be played when 7 players are in the tournament is definitely 21 games. As you can see, in the last row there are 4 players to 5,which means that we have 4 new games. The same happens if we go from 3 players to 4, and finelly we have 3.

2) And what about the recursive rule for the original sequence, the approrpiate one is an = an-1 + n - 1, so the answer is lying in the second option from the scale.
According to the fact that the number of games is actually the sum of integers from 1 to n-1 we expect to have n number of players.
I am sure it's clear now!



I NEED HELP FAST!!!!!
Monique is factoring the expression 4x+16xy Her work is shown below.
Factors of 4x: 1, 2, 4, x
Factors of 16xy: 1, 2, 4, 8, 16, x, y
GCF: 4x
Factored expression: 4x(0+4y)
Which best describes the accuracy of Monique’s solution?



A. Monique’s solution is accurate.

B. Monique made an error when listing the factors, which affected the GCF and the factored expression.

C. Monique made an error when determining the GCF from her list of factors.

D. Monique made an error when writing the factored expression.

Answers

D) because it should be 4x(1+4y)

Answer with explanation:

Monique is factoring the expression 4x+16xy Her work is shown below.  

Factors of 4 x→: 1, 2, 4, x

Factors of 16 x y:→ 1, 2, 4, 8, 16, x, y

G CF: 4 x

Factored expression: 4 x(0+4 y)→Incorrect

→4 x +16 x y= 4* x + 4 *4* x* y

  = 4* x* (1+4 y)

while writing the factored expression, we have to break the terms into smaller  terms that is into monomials and  then we should take out the common factor between the two terms.

Option D:  Monique made an error when writing the factored expression.

A container holds 16 pints of lemonade. how much is this in gallons?

Answers

As 1 gallon contains 8 pints, do # of pints/# of pints per gallon to get your # of gallons, 16 pints/8 pints per gallon=2 gallons as your answer.

Answer: 2 gallons of lemonade.

Step-by-step explanation:

The container holds 16 pints of lemonade, and we know that a pint corresponds to 0.125 gallons.

So 16 pints are equal to 16 times 0.125 gallons:

16*0.125 gallons = 2 gallons

Then the container holds 2 gallons of lemonade.

If you eat two slices of a medium pizza with eight slices, what is the simplest fraction for the number of slices of pizza leftover?

Answers


you  eat 2/8=1/4 of pizza

1 - 1/4 = 3/4 leftover


What is 22.5% written as a mixed number

Answers

It would be: 22.5% = 225/10 = 45/2 = 22 1/2

So, your final answer is 22 1/2

Hope this helps!

What do you do when you must solve a system of equations by elimination but all of the coefficients on the variables are different? What is important to remember when doing this?

Answers

The coefficients are of no consequence. Just find a way to make it what you want. Please provide an example of what is troubling you and why you think it is trickier than those you already have solved.

Write each fraction as an expression with negative exponents.

v/w raised to the second power ...?

Answers

The answer is w⁻²/v⁻².

v/w raised to the second power is (v/w)²

(v/w)² = v²/w²

Since xᵃ = 1/x⁻ᵃ, then v²/w² = 1/v⁻²w²

Since 1/xᵃ = x⁻ᵃ, then 1/v⁻²w² = w⁻²/v⁻²

A shop has one pound bags of peanuts for $2.00 and three pound bags of peanuts for $5.50. If you buy 5 bags and spend $17.00, how many of each size bag did you buy?

Answers

Answer:

3 one-pound bags; 2 three-pound bags


Step-by-step explanation:

h

Cobalt-60 has a half-life of about 5 years.

How many grams of a 300 g sample will remain after 20 years?

A. 0.0625 g

B. 9.375 g

C. 18.75 g

D. 37.5 g

Answers

The answer is c.18.75 g

The answer to this question is C, i took the test.


Hope you have a great day!

Which is an equation in point-slope form for the given point and slope?
Point: (7, 4); Slope: 6



y – 7 = 6(x + 4)


y – 4 = 6(x – 7)


y – 4 = 6(x + 7)


y + 4 = 6(x – 7)

Answers

Using point slope formula;

y=6x-38

passes through (4,-5), slope = 3/4

Answers

equation = y = mx + b
y = 3/4x + b

Calculation for b.,
-5 = 3/4 * 4 + b
b = -5/3

So, your final answer is y = 3/4x - 5/3

Hope this helps!

how do you simplify radicals?

Answers

1) First try to find a perfect square number that divides evenly into the number under the square root. Perfect square numbers include 4, 9, 16, 25, 36, 49, etc. because they are squares of the numbers 2, 3, 4, 5, 6, 7, etc., respectively.

2) Separate the root expression into the two numbers you found as factors, with each number now under its own square root symbol. For example, sqrt(12) = sqrt(4) times sqrt(3).

3) Keep simplifying. The square root of a perfect square becomes just a number, without the radical square root symbol. sqrt(4)*sqrt(3) becomes 2*sqrt(3).

4) Check to see if anymore simplifying can be done, either by combining constants or finding another perfect square number that divides evenly into your factors. If no more simplifying can be done, you have your final "simplified radical form" (SRF) answer, 2*sqrt(3).

If there is a square root anywhere in the DENOMINATOR, you must "rationalize" the denominator, in other words, somehow get rid of the root in the bottom, in order for the expression to be considered simplest. For example, if you have 4/sqrt(2) you must use the trick of simplifying by multiplying the expression by sqrt(2)/sqrt(2). This will clear the square root in the bottom. If you multiply straight across, you would get 4*sqrt(2)/2, which simplifies again to 2*sqrt(2).

If you have a more complicated fraction with a square root in the denominator, like (4+sqrt(3))/(5-sqrt(3)), you will need to use the "conjugate" to simplify. This means multiplying top and bottom by the expression in the denominator, but with the middle sign flipped. Here you would multiply by (5+sqrt(3))/(5+sqrt(3)), multiply straight across on top and bottom using FOIL-ing and distribution. Some terms will cancel in the bottom, leaving you with a simpler denominator that has no square roots.

In the equation below, what is the coefficient of the variable?

15 = 8x

A. =
B. 8
C. x
D. 15

Answers

B

but i have to write more to let me post this so here it is




what are the base seven counting numbers just before and after 16 base seven ? ...?

Answers

Just before 16 is 15, and just after is 20. In base 7 the digits that are found are 0,1,2,3,4,5,6, while the 6 in base 7 is just like the 9 in base 10. That's why 20 comes after 16 in base 7.

Final answer:

In base seven, the number just before 16 is 15, and the number just after 16 is 20. These correspond to 5 and 14 in decimal notation, respectively.

Explanation:

The question asks for the base seven counting numbers just before and after 16 in base seven. In base seven, counting is similar to decimal but stops at 6 before moving to the next place value. The number 16 in base seven is written as 6 in base 10, since base seven does not have a digit for '7' or higher. Therefore, the counting sequence in base seven goes ...14, 15, 16, 20, 21... Thus, the number just before 16 in base seven is 15 (which is 5 in base 10), and the number just after 16 in base seven is 20 (which represents 14 in base 10).

Evaluate the definite integral from x=0 to x=1
the cubed root of (1 + 7x) dx

Answers

Use a  substitution of u = 7x+1 then du = 7 dx and dx = 1/7 du 
so f(x) = cube root (u) 1/7 du 
integral 1/7 (u)^1/3 du 
using simple power rules gives us 
1/7 (3/4) u^4/3 
which equals 3/28 u^4/3 
replacing u with 7x+1 gives us 3/28 (7x+1)^4/3 
just plug in 0 and 1 and subtract. 
3/28(8)^4/3 - 3/28 (1)^4/3 
which is 3/28(16) - 3/28 = 3/28 * 15 
so final answer is 45/28. 
Final answer:

To evaluate the definite integral from x=0 to x=1 of the cubed root of (1 + 7x), we need to find the antiderivative, then calculate the difference in its values at x=1 and x=0 according to the fundamental theorem of calculus.

Explanation:

The task is to evaluate the definite integral from x=0 to x=1 of the cubed root of (1 + 7x). To find the integral of this function, we need to apply the fundamental theorem of calculus. This theorem allows us to evaluate definite integrals as the net or accumulated area under the curve from one point to another.

Let's denote the function to integrate as f(x) = (1 + 7x)^(1/3). Our goal is to find the integral of f(x) with respect to x, within the bounds of 0 to 1.

To solve this integral, we would typically look for a suitable antiderivative of f(x), which, when evaluated at the upper and lower limits of integration, would provide us with the definite integral value.

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an aeroplane moving horizontally with a speed of 180 km/hr drops a food packet while flying at a height of 490m . the horizontal range of the packet is?? ...?

Answers

The time the package travels horizontally is equal to the time it takes to hit the ground. This can be calculated using:
s = ut + 1/2 at²; u is 0
480 = 4.9t²
t = 9.90 seconds

Horizontal distance = horizontal speed x time
The speed will be converted to m/s from km/h
= 180 km/hr x 1000m/km x 1hr/3600 seconds x 9.90 seconds
= 495 m

Justify each step of the solution by stating the property that was used to get to each step.
Given:
Step 1:
Step 2:
Step 3: 17x = 40
Step 4:

Answers

Step 1: Distributive Property. Step 2: Combine like terms. Step 3: Add 34x to both sides. Step 4: Divide by 17. x = 60/17.

Here's a step-by-step solution to the equation 2(10 - 13x) + 9x = -34x + 60, along with the properties used at each step:

Given equation: 2(10 - 13x) + 9x = -34x + 60

Step 1: Distribute the 2 on the left side of the equation.

  Property used: Distributive Property

   2 * 10 - 2 * 13x + 9x = -34x + 60

  20 - 26x + 9x = -34x + 60

Step 2: Combine like terms on both sides of the equation.

Property used: Combining like terms

     -26x + 9x = -34x + 60

  (-26x + 9x) = (-34x + 60)

  -17x = -34x + 60

Step 3: Add 34x to both sides of the equation to isolate the variable x on the right side.

  Property used: Adding the same value to both sides of an equation to maintain equality.

 -17x + 34x = -34x + 60 + 34x

  17x = 60

Step 4: Finally, divide both sides by 17 to solve for x.

Property used: Dividing both sides of the equation by the same nonzero value to maintain equality.

(17x) / 17 = 60 / 17

x = 60 / 17

So, the solution to the equation is:

x = 60 / 17

Each step in this solution is justified by the properties of equality and arithmetic operations.

The complete question is here:

Justify each step of the solution by stating the property that was used to get to each step. Given: 2 (10-13x) + 9x = -34x + 60 Step 1: 20 - 26x + 9x = -34x + 60 Step 2: -17x = -34x + 10 Step 3: 17x = 40 Step 4: x =( 40)/(17) 40 on top of 17 as a fraction.

What is the greatest factor of: 6x^2y^3 + 18x^3y^3 + 36x^3y^2

Answers

Final answer:

The greatest factor of the given expression is 6x^2y^2, found by identifying the common variables with the lowest exponents and the greatest common divisor of the coefficients.

Explanation:

The student is asking to find the greatest common factor (GCF) of the algebraic expression 6x^2y^3 + 18x^3y^3 + 36x^3y^2. To find the GCF, we look for the highest exponents of the variables that are common in each term, and the largest coefficient that can evenly divide all the coefficients of the terms.

Firstly, we notice that each coefficient (6, 18, 36) is divisible by 6, so 6 is part of our GCF. Next, we see that the smallest exponent of x is 2 and the smallest exponent of y is 2 as well. So, x^2 and y^2 are also part of our GCF. The greatest factor is then 6x^2y^2.

Therefore, when we factor out the GCF from the expression, it would be written as:

6x^2y^2 (y + 3x + 6xy)

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What is the slope of the line passing through the points (1, −5)(1, −5) and (4, 1)(4, 1)?

−2

−4/5

2

5/4

Answers

The answer to this is 2.

Identify the graph of 3i (See figures).

Answers

Any complex number can be written in fallowing form:
Z = x + yi

When drawing complex numbers as point on x,y coordinate system we can use variables x and y to represent our coordinates in x y coordinate system.

Our complex number is:
Z = 3i which means
x = 0 and y = 3
x is real part of complex number and we draw it on x axis (real number axis) and y is imaginery part and we draw it on y axis (imaginery axis)

answer is point with coordinates (0,3) Graph 1

Answer:

on edu its B

Step-by-step explanation:

How do I set the proportions up

Answers

Your proportion would be 13/3 =x/4,000.

How to divide 219 by 3?

Answers

73 is your answer do 73 time 3,   3*3=9 put the 9 down then 7*3=21 so the answer is 219 which is the number your dividing by. Always times your answer by the number smallest number and if it equals the biggest number in that problem that means your correct. So the answer is 73. Hope this helps.

How are the two functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x related to each other?

Answers

Final answer:

The functions f(x) = 0.7(6)x and g(x) = 0.7(6)–x are related to each other. f(x) represents exponential growth, while g(x) represents exponential decay. As f(x) increases, g(x) decreases, and vice versa.

Explanation:

These two functions, f(x) = 0.7(6)x and g(x) = 0.7(6)–x, are related to each other in the following ways:

The function f(x) represents exponential growth, where the base is 0.7(6) and the exponent is x. As the value of x increases, f(x) will increase exponentially.The function g(x) represents exponential decay, where the base is 0.7(6) and the exponent is -x. As the value of x increases, g(x) will decrease exponentially.

Therefore, f(x) and g(x) are related inversely to each other. As f(x) increases, g(x) decreases, and vice versa.

A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees. What is the measure of the tangent tangent angle?

Answers

225-130/2=45degree..

Answer:

[tex]M=45 degrees[/tex]

Step-by-step explanation:

It is given that A tangent-tangent angle intercepts two arcs that measure 135 degrees and 225 degrees, thus in this the vertex lies outside, therefore

The measure of the tangent tangent angle is the half of the difference of the two given arc, that is

[tex]M=\frac{1}{2}(225-135)[/tex]

⇒[tex]M=\frac{90}{2}[/tex]

⇒[tex]M=45 degrees[/tex]

Therefore, The measure of the tangent tangent angle is 45 degrees.

A rectangular box has a perimeter of 36 inches. Which of the following equations represents the area of the rectangular box in terms of its width, w?
a. A = 36w - w2 b. A = 18w - w2 c. A = 36 - w2 d. A = 18 - w2

Answers

The answers is a hope helps

What is a math teachers favorite breakfast? Its an algebra math worksheet riddle

Answers

The math teacher's favorite breakfast is Pi.

Pi (π)

The number pi is a mathematical constant whose value is  (3.141592653589793238...). its decimal representation is neither end (such as 1/4 = 0.25) nor becomes repetitive  (such as 1/6 = 0.166666...). And it is generally denoted by the Greek letter p or π.

In geometry, the pi is generally defined as the ratio of the circumference of the circle to its diameter.

[tex]\rm{\pi=\dfrac{Circumference}{Diameter}[/tex]

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2. What is the decimal expansion of the following fraction?
2/3
_
0.06
_
0.6

0.23

2.3







Answers

The second one, 0.6.....

A hotel cost $198including tax. what is a room for 2 weeks

Answers

$2,772 all you have to do is multiply 198 by 14 to get your answer because there are 14 days in two weeks

HELP

What is the equation of a line that is parallel to 2x+3y=3 and passes through the point (3,−4)?

Answers

paralell has same slope
the slope for ax+by=c is -a/b
that means that a line paralell to 2x+3y=3 will have 2x+3y=something
find that something

given
(3,-4)
x=3 and y=-4 is a soltuion
2x+3y=something
2(3)+3(-4)=something
6-12=something
-6=something

2x+3y=-6
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