What is the difference of the polynomials? (9x2 +8x) -(2x2+3x) 7x2+5x 7x2+11x 11x2+5x 11x2+11x

Answer:

798,000

Step-by-step explanation:

Simplify all the exponents

8×10^5

=8×100,000

=800,000

2×10^3

=2×1,000

=2,000

Difference=800,000-2,000

=798,000

Answer:

2 x (8 + 3)

Step-by-step explanation:

b) 16 + 6 = 2 x (8 + 3)

=> 22 = 2(11)

=> 22 = 22

Therefore, 2 x (8 + 3) is your answer.

This one is an interesting question.

Lets solve first the equation by isolation of the unknown x:

6x + 6 +2 = (3k / 5x )+3 +3

6x = (3k/5x) + 6 -6-2

6x = (3k/5x) -2

6x = (3k / 5x) - (10x / 5x)

6x = (3k-10x)/5x

6x*5x = 3k - 10x

30x² = 3k - 10x

30x² + 10x = 3k

30x² + 10x - 3k = 0

This is really interesting because this looks exactly like a polynomial function. So we know that there is no solution for a polynomial once the discriminant delta is strictly less than 0.

But delta = b² - 4ac where b = 10, a = 30 and c = -3k

So we need to solve delta < 0

100 - 4*30* (-3k) < 0

100 - 120*(-3)*k < 0

100 - (-360)k < 0

100 + 360k < 0

360k < -100

k < -100/360= -10/36

So there is no solution for all k strictly less than -10/36

Good luck

Answer:

3

Step-by-step explanation:

(8 + 4) / 2 - 3

12 / 2 -3

6 - 3

3

Answer:

3

Step-by-step explanation:

You do the parenthesis first (8+4)

Then you divide 12 by 2 if you are following Pemdas

6 - 3 = 3

Hope this helped!

Answer:

true

Step-by-step explanation:

Answer: M  = [tex]\frac{x-2y}{x+y}[/tex]  

Step-by-step explanation:

[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]

M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)

M (x + y)  = x + 2y - 4y

M (x + y)  = x - 2y  (Divide (x+y) from both sides)

M  = [tex]\frac{x-2y}{x+y}[/tex]  

Answer:50

Step-by-step explanation:

15 : 5 = 3

250  : 5 = 3

Answer:

[tex]d=18[/tex]

Step-by-step explanation:

Definition -  reduction refers to the rewriting of an expression into a simpler form

We can reduce [tex]\frac{4}{8}[/tex] to [tex]\frac{1}{2}[/tex]

Our equation is now [tex]\frac{6}{d-6} =\frac{1}{2}[/tex]

Now we can cross multiply

Definition - given an equation between two fractions or rational expressions, one can cross-multiply to simplify the equation or determine the value of a variable.

[tex]d-6=12[/tex]

We are adding because we want our variable to be on one side of the equation

[tex]d=18[/tex]

[tex]\frac{6}{18-6} =\frac{1}{2}[/tex]

Subtract and we get

[tex]\frac{6}{12} =\frac{1}{2}[/tex]

Which makes it true

Answer:

The expression is a polynomial.

Trinomial (according to the number of terms)

Step-by-step explanation:

Given the algebraic expression, 6x² + x + 1:

A term comprises of a product of numerical coefficient and one of more variables raised to powers.  Like terms have the same variables and exponents.

While a polynomial is a term (or finite sum of terms), comprising of variables with positive or zero integer exponents. Strictly defined, the terms within a polynomial expression cannot include variables as a denominator.  

A monomial is a single-termed polynomial.

A binomial is a polynomial with two terms.

A trinomial is a polynomial that has exactly three terms.

With these given definitions, we can infer that the given polynomial expression, 6x² + x + 1,  is a trinomial, given that it has three terms:

Therefore, the given expression is a polynomial containing three terms, making it a trinomial.    

Answer:

606060t

Step-by-step explanation:

606060 liters x t minutes = 606060t

left question is 19 right question is 8

Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

Let's denote the number of hours Scott works as "x" for both babysitting and working at the grocery store.

For babysitting, he earns $12 per hour.

For working at the grocery store, he earns $8 per hour.

So, his earnings from babysitting are 12x dollars, and his earnings from working at the grocery store are 8x dollars.

He needs to make at least $600 to buy a new computer.

Therefore, we can write the equation:

12x + 8x ≥ 600

Combine the like terms:

20x ≥ 600

Now, solve for x by dividing both sides of the inequality by 20:

x ≥ 600 / 20

x ≥ 30

Hence, Scott needs to work at least 30 hours to make at least $600 and buy a new computer.

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Complete question:

"Scott earns $12 per hour babysitting and $8 per hour working at the grocery store. He wants to buy a new computer that costs at least $600. How many hours does Scott need to work, combining both jobs, to save up enough money for the new computer?"

Answer:

In Jan - 13,759

In Feb - 9,854

In both - 23,613

Step-by-step explanation:

hope it helps

Answer:

1050.67213

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

= 21/21

= 1

Answer:

90

Step-by-step explanation:

let the number to be found be x then

23 [tex]\frac{1}{3}[/tex] % of x = 21  ( change mixed number to improper fraction )

[tex]\frac{\frac{70}{3} }{100}[/tex] x = 21

[tex]\frac{70}{300}[/tex] x = 21 ( multiply both sides by 300 to clear the fraction )

70x = 6300 ( divide both sides by 70 )

x = 90

Then 23 [tex]\frac{1}{3}[/tex] % 0f 90 = 21

Answer:

48

Step-by-step explanation:

take 60% of 80, or 80 x .6

Answer:

1:3

Step-by-step explanation:

To simplify the ratio 16:32, we find the greatest common divisor of 16 and 32, and then we divide 16 and 32 by the greatest common divisor.

The greatest common divisor that you can use to simplify 16:32 is 16. Which means the answer to ratio 16:32 simplified is: 1:2

Hope it helps

Answer:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

The number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.

A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.

Given that, Sine function model: h=-82.5cos3π(t)+97.5 where h is the height of the passenger above the ground measure in feet and t is the time of operation of the ride in minutes.

The duration of the ride is 15 min.

Let the period be T, then we can write:

h=-82.5.cos(2πt/T)+97.5

So, we must have 2π/T =3π or T=2/3 minutes

Number of complete periods

Floor(15/T)=22

Therefore, the number of times the last passenger who boarded the ride make a complete loop on the Ferris wheel is 22.

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"Your question is incomplete, probably the complete question/missing part is:"

The Colossus Ferris wheel debuted at the 1984 New Orleans World’s Fair. The ride is 180 ft tall, and passengers board the ride at an initial height of 15 ft above the ground. The height above ground, h, of a passenger on the ride is a periodic function of time, t. The graph displays the height above ground of the last passenger to board over the course of the 15 min ride.

The duration of the ride is 15 min.

How many times does the last passenger who boarded the ride make a complete loop on the Ferris wheel.

Answer:

200 x 3 - 12=588

Answer:

-3

Step-by-step explanation:

take a set of points (2,3) (3,-6)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-6-(-3)}{3-2}[/tex]

[tex]\frac{-3}{3-2}[/tex]

[tex]\frac{-3}{1}[/tex]

-3

Answer:

first two terms are 6 and 3

Step-by-step explanation:

yuh <3

Step-by-step explanation:

Statement | Reason

CB=AB         Given

DBC=DBA   Given

DB = DB      Reflexive Property

/_\ DBC

=~

/_\DBA        SAS

Sorry for the formatting the =~ means congruent.

Answer:

$1.76

Step-by-step explanation:

First we need to figure out the cost of one apple.

To do this, divide the cost by the amount.

That's .65/3, which equals .216666, but we should round that number to .22

So if one apple is 22 cents, and we need to know how much money 8 apples is, we times .22 by 8, which gives us 1.76

Hope this helps :))

At the grocery shop, the cost of 3 apples is $0.65 then the cost of 8 apples is $1.76.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

The given information in the question,

The cost of 3 apples = $0.65

The cost of 1 apple = $0.65/3 = $0.22

The cost of 8 apples = $0.22 × 8 = $1.76.

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Answer:

1.37 miles

Step-by-step explanation:

First, you have to find out how far Molly's brother and sister walked combined. 1.25+0.85=2.08. Now you subtract that from Molly's distance, 3.45. 3.45-2.08-1.37 miles.

Answer:

should be 105 right

Step-by-step explanation:

Answer:

105 sheep are spotted.

Step-by-step explanation:

42% of the 250 sheep are spotted. We would need to find 42% of 250.

250 * 0.42 = 105

105 sheep are spotted.

Hope this helps.

The y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)

Given the polynomial function 4x^3-3x^2+7, the y-intercept of the function occurs where the value of x is zero

Substituting x = 0 into the polynomial function will give;

y = 4x^3-3x^2+7

y = 4(0)^3-3(0)^2+7

y = 0 - 0 + 7

y = 7

Hence the y-intercept for the cubic function: 4x^3-3x^2+7 is (0, 7)

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Answer:

Step-by-step explanation:

radius r of iron ball r=12/2=6 cm

volume of iron ball=4/3  πr³

=4/3π×6³

=288 π cm³

≈288×3.14

=904.32 cm³

density=7.89gm /cm³(unit not mentioned)

mass of iron ball=904.32×7.89=7135.0848 gm.=7.135 kg

288π×7.89≈7138.703 ≈7.139 kg (if density is 7.89 gm/cm³)

Answer:

like:-

1/9x20 = 2 2/9

1/9-20 = 19 8/9

Step-by-step explanation:

Answer: The constant rate change would be [tex]\frac{1}{9}[/tex].

Step-by-step explanation: The general rate of change can be found by using the difference quotient formula. To find the average rate of change over an interval, enter a function with an interval: f (x) = [tex]x^{2}[/tex] , [2,3]

Write y = [tex]\frac{1}{9}[/tex]x - 20 as a function which is f (x) = [tex]\frac{1}{9}[/tex]x - 20

Consider the difference quotient formula which is [tex]\frac{f (x +h) - f (x) }{h}[/tex].

Find the components of the definition. [tex]\frac{f (x+h) = \frac{h}{9} + \frac{x}{9} - 20}[/tex]simplify then it would be [tex]\frac{f (x) = \frac{x}{9} - 20 }[/tex].

Lastly plug in all the components.

[tex]\frac{f (x + h) - f (x)}{h} = \frac{\frac{h}{9} +\frac{x}{9} - 20 - (\frac{x}{9} - 20) }{h}[/tex]

After solving all this the answer would be [tex]\frac{1}{9}[/tex]