The product of a binomial and a trinomial is x 3 3 x 2 âÂ’ x 2 x 2 6 x âÂ’ 2. Which expression is equivalent to this product after it has been fully simplified? x3 5x2 5x â€"" 2 x3 2x2 8x â€"" 2 x3 11x2 â€"" 2 x3 10x2 â€"" 2.

Answers

Answer 1

The product of given binomial and trinomial is given by below polynomial:

[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

Given polynomials:Trinomial : [tex]x^3+3x^2-x+2[/tex]Binomial: [tex]x^2+6x-2[/tex]

Explanation:

The expression formed by the sum of sub expressions which are product of constant integers with variables raised to some exponent is called polynomial.

Their product is given by:

[tex](x^3 + 3x^2 - x + 2) \times (x^2 + 6x -2)\\= x^5 + 6x^4 - 2x^3 + 3x^4 + 18x^3 - 6x^2 -x^3 -6x^2 + 2x +2x^2 + 12x - 4\\= x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

Thus the product of given binomial and trinomial is given by below polynomial:

[tex]x^5 + 9x^4 + 15x^3 -10x^2 + 14x - 4[/tex]

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Related Questions

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answers

Answer:

150% of 45 less than 100, greater than 100 but less than 150. Or greater than 150?

Answer:

Less than 100?                                                  YES

Step-by-step explanation:

150% of 45 less than 100, greater than 100 but less than 150, or greater than 150?

"150% of 45 "

150% (45)

1.5*(45) = 67.5      

Less than 100?                                                  YES

Greater than 100 but less than 150               NO

Greater than 150?                                             NO

there are 60 balloons in a pack. 3/10 of the balloons are red. 1/3 of the balloons are yellow. the rest are blue. how many are blue?

Answers

Answer: 22 blue balloons

Step-by-step explanation:

IF 3/10 balloons are red out of 60, we have

[tex]\frac{3}{10} *60[/tex] = 18 red balloons in total

1/3 of the balloons are yellow, 60/3=20 yellow balloons

Blue balloons= 60-18 (red)-20(yellow)=22

can someone help me learn transforming linear functions? i need to know how to move the linear equation up or down on the y axis, and increase and decrease the slope. please be a virtuso or higher.

I'll make the person that helps me through it brainliest and answering and helping is worth 35 pts.​

Answers

Answer:

Step-by-step explanation:

Earlier in this chapter we have expressed linear equations using the standard form Ax + By = C. Now we're going to show another way of expressing linear equations by using the slope-intercept form y = mx + b.

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function.

y=mx+b

Where m is the slope and b is the y-intercept.

A 12-ounce box of fruit loops is on sale for $2.88, What is the unit cost (what is the price per ounce)

Answers

Answer:

$0.24

Step-by-step explanation:

the working out would look something like this:

ounces dollars

12 : 2.88

duvide both by 12 to find 1 ounce

1 : 0.24

the price per ounce would be $0.24

hopefully this helps :)

b) the difference between three and x
Math

Answers

Answer:

  3 - x

Step-by-step explanation:

In math, "the difference between A and B" usually means ...

  A - B

In English, it often means ...

  |A - B| . . . . the positive difference

__

"The difference between 3 and x" can be written as the expression ...

  3 - x

A girl goes on an epic 9-hour snowshoeing truck, and her velocity time graph is shown below, with velocity shown in miles per hour and time shown in hours.
A. When is her velocity at its maximum? What is that maximum velocity?
B. How far did she travel during the first 3 hours?
C. How far does she travel during her entire hike?
D. What is her average velocity during the hike?

Answers

a) She reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) The girl travels a distance of 6 miles in the first 3 hours.

c) The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity of the girl is approximately 2.476 miles per hour.

a) The maximum velocity represent the maximum value in the vertical axis reached by the girl in time. According to the graph, she reaches a velocity of 4 miles per hour at [tex]t = 5\,h[/tex].

b) Travelled distance is represented graphically by the area below the curve and above the time axis. The travelled distance ([tex]\Delta x[/tex]), in miles, during the first 3 hours is represented by the area of a rectangle, that is to say:

[tex]\Delta x = v(3)\cdot \Delta t[/tex] (1)

Where:

[tex]\Delta t[/tex] - Time interval, in hours.[tex]v(3)[/tex] - Final velocity, in miles per hour.

If we know that [tex]\Delta t = 3[/tex] and [tex]v(3) = 2[/tex], then the travelled distance in the first 3 hours is:

[tex]\Delta x = (2)\cdot (3)[/tex]

[tex]\Delta x = 6\,mi[/tex]

The girl travels a distance of 6 miles in the first 3 hours.

c) The travelled distance is determined by the following geometric expression:

[tex]\Delta x = v(3)\cdot t_{1} + 0.5\pi\cdot [v(5)-v(3)]^{2}+0.5\cdot v(3)\cdot (t_{2}-t_{1})[/tex] (2)

If we know that [tex]v(3) = 2[/tex], [tex]t_{1} = 7[/tex], [tex]v(5) = 4[/tex] and [tex]t_{2} = 9[/tex], then the travelled distance is:

[tex]\Delta x = 2\cdot 7 + 0.5\pi\cdot (4-2)^{2}+0.5\cdot 2\cdot (9-7)[/tex]

[tex]\Delta x \approx 22.283\,mi[/tex]

The girl travels a distance of approximately 22.283 miles during her entire hike.

d) The average velocity ([tex]\bar v[/tex]), in miles per hour, is obtained by dividing the traveled distance ([tex]\Delta x[/tex]), in miles, found in c) by time.

[tex]\bar v = \frac{\Delta x}{\Delta t}[/tex] (3)

If we know that [tex]\Delta x \approx 22.283[/tex] and [tex]\Delta t = 9[/tex], then the average velocity of the girl is:

[tex]\bar v = \frac{22.283}{9}[/tex]

[tex]\bar v \approx 2.476\,\frac{mi}{h}[/tex]

The average velocity of the girl is approximately 2.476 miles per hour.

To learn more on kinematics, we kindly invite to check this verified question: https://brainly.com/question/24486060

Add. Use models if needed. (-3x - 7) + (4x + 7)

Answers

-3x-7+4x+7

Negative -7 and positive 7 will give you 0.

So we're left with x. Therefore, the answer is x.

(-3x-7)+(4x+7) = -3x-7+4x+7 = -3x+4x = x

what is 2^3 x 2^18 simplified

Answers

Answer:

2097152 or 2^21

Step-by-step explanation:

Answer: [tex]2^{21}[/tex]

Step-by-step explanation: Exponents are combined when simplifying a multiplication equation.

HELP PLZZ! 50 POINTS!!

Answers

4%. 1/5 * 1/5 is 1/25 which equals 4%

Answer:

24%

Step-by-step explanation:

consider bag 1: there are 3 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 3/5

bag 2: there are 2 vowel tiles (out of 5) in this bag so the probability of choosing a vowel tile would be 2/5

to find the probability of getting two vowel tiles (one from each bag), you multiply these two probabilities together:

3/5 *2/5 to get 6/25 which is equal to 0.24 or 24%

Starting at 1:00 P.M., the temperature changed -4 degrees per hour. How long will it take to reach -1?

Answers

Answer:

i may need more info on the temperature or do you have to find out

Step-by-step explanation:

Simplify to find the answer

Answers

[tex]\frac{-8(7-\sqrt{2)} }{47}[/tex]

28. Which category is zero NOT a part of?
NY
A. Whole
B. Integers
C. Rational
D. Natural

Answers

Answer:

Zero is not a natural number

Step-by-step explanation:

Hope this helps!

D is the answer for this question

HELP PLZZZZZZZ with #1

Answers

Answer:

Option A, 300 - 20w

Step-by-step explanation:

In a week, she withdraws $20

in w weeks, she will withdraw ; w × 20

= 20w

Balance = Initial amount - Amount withdrawn

= 300 - 20w

Anna and Hannah are reading the same book. At the beginning of the month, Anna was on page 29 and Hannah was on page 7. Anna will read 9 pages per day and Hannah will read 11 pages per day. Let

A

A represent the page of the book that Anna is on at the end of

t

t days into the month, and let

H

H represent the page of the book that Hannah is on at the end of

t

t days into the month. Write an equation for each situation, in terms of

t

,

t, and determine whether Anna or Hannah is farther along in the book after 14 days.

Answers

Answer:

Hannah

Step-by-step explanation:

Anna: Page 29 + number of pages read t days into the month

number of pages read t days in the month = 9 t times = 9 * t

Anna: 29 + 9t

Hannah: 7 + 11t using the same logic

14 days in: t = 14

Anna: 29 + 9*14 = 155

Hannah: 7 + 11 * 14 = 161

Hannah is further along

The equations for Anna's progress A = 29 + 9t and Hannah's progress H = 7 + 11t show that after 14 days, Hannah is farther along in the book with page 161 compared to Anna's page 155.

How to Apply Algebraic Equation?

The equation we would write for each situation in terms of t are explained below:

For Anna:

A = 29 + 9t

For Hannah:

H = 7 + 11t

After 14 days:

For Anna: A = 29 + 9 * 14 = 29 + 126 = 155

For Hannah: H = 7 + 11 * 14 = 7 + 154 = 161

After 14 days, Hannah is farther along in the book as she is on page 161 while Anna is on page 155.

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10 x + 2 y . Find P when: x = 3 and y = 6



help pleaseee

Answers

Answer:

42

Step-by-step explanation:

(10x3) + (2x6)

= 30 + 12

= 42

10x + 2 y = (10.3) +(2.6) = 30+12=42

Our answer is 42

A pizza restaurant had 1/3 of a gallon of pizza sauce left at the end of the evening and divided it equally among 3 pizzas. How much sauce did they put on each pizza? D) Write your answer as a fraction or as a whole or mixed number. gallons Submit Work it out​

Answers

Answer:

1/9 of a gallon of sauce

Step-by-step explanation:

You would have to divide the fraction (1/3) by the number of pizzas (3)

but…

you can’t DIVIDE fractions, so you have to use the “keep-change-flip“ method

1/3 ÷ 3

keep 1/3

change ÷ into ×

and flip 3 into 1/3 (because technically 3 is 3/1)

1/3×1/3= 1/9

hope this helped!

NEED HELP ON THIS EQUATION!!!​

Answers

Answer:

1.2x + 3

Step-by-step explanation:

It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.

Which of the expressions is equivalent to the expression 4 left parenthesis x plus 5 right parenthesis plus 3? (1 point) 4 times x times 4 times 5 plus 3 4 times x plus 4 times 5 plus 3 4 times x times 3 plus 4 times 5 plus 3 4 plus x plus 4 plus 5 plus 3

Answers

Answer:

4(x+5)+3 = 4x+23

Step-by-step explanation:

second option: 4(x)+4(5)+3 = 4x + 20 + 3 or 4x + 23

Two lines are intersecting. What is the value of x?
(x + 26)
(3x - 6)º

Answers

Answer:

i don't know sorry

Can someone please help me!!?

Answers

Answer:

Step-by-step explanation:

Domain is all the x's on the graph. The graph does go from -3 to 4 (not including the -3 but including the 4). Pay attention to the use of () as well as [] on the answers. Those answers are not weird coordinates, they are intervals where the first number is the starting place and the second number is the end. Also on the graph one end point is an open circle which means it's not included on the graph and the other endpoint is a darkened circle which means it is included. The range is all the y's. It does go from -3 to 3. Increasing means the graph is going up from left to right and decreasing means the graph is going down left to right. The graph is positive when it is above the x-axis and negative when its below the x-axis. It seems like ALL of the statements about the graph are true.

How do you solve this??

Answers

Answer:

what

Step-by-step explanation:

which questions you are telling there is no question to answer you!!

ASAP HELP Can a triangle have sides with the given lengths? Explain, showing all the work
8 ft, 9 ft, 18 ft
PLEASE EXPLAIN

Answers

Answer:

Yes

Step-by-step explanation:

the triangle is a scalene triangle (has no equal parts

Please help, super hard question for me!

Give two systems of equations, each containing two equations, that would be easier to solve by substitution than by elimination. Then give two systems that would be easier to solve with elimination. Finally, explain how you decide whether to use elimination or substitution to solve a system.

I will give brainliest to best answer

AND DON’T ANSWER THEN DELETE FOR POINTS

Answers

Answer:

Step-by-step explanation:

When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.

Solve the systems of equations using the substitution method

{y=2x+4

{y=3x+2

We substitute the y in the top equation with the expression for the second equation:

2x+4            =      3x+2

4−2              =        3x−2

2===             =         x

To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:

y= 2x + 4

We plug in x=2 and get

y=  2⋅2+4 = 8

The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.

Example:

2x−2y = 8

x+y = 1

We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:

2x−2y = 8

2x+2y = 2

Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:

(2x+2x)  + (−2y+2y) =  8+2

The y-terms have now been eliminated and we now have an equation with only one variable:

4x = 10

x= 10/4 =2.5

Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:

2⋅2.5−2y     =  8

5−8             = 2y

−3               =2y

−3/2            =y

y                 =-1.5

Answer:

1. No, because a system of linear equations in two variables may have, zero,  or infinietley solutions.

2. true because the answer of a system is the intersect, not where the lines cross a grid.

3.a. y=2x+4

y=3x+2

2x+4=3x+2

4-2=3x-2

2=x

b.y=2x+4

y=2*2+4=8

c. 2.2.5-2y=8

5-8=2y

=3=2y

-3/2=y

y=1.5

Step-by-step explanation:

answers for teh complete assigment

Can you help me, please?

Answers

Answer:

listen picture is not clear

What is the area, in square feet, of the shape below? Express your answer as a fraction in simplest form.

Answers

4/3 • 5/3 = 20/9 divided by 2 = 10/9

assume that a procedure yields a geometric distribution where the probability of success is 90%. use the geometric probability formula to find the probability that the first success occurs on the second trial.
0%
4%
5%
9%

Answers

The final answer is 9 percent

Find the degree of the monomial. -20.5​

Answers

Answer:

0

Step-by-step explanation:

-20.5 is the same as -20.5[tex]x^{0}[/tex], since anything to the zero power is equal to 1.

Answer:

The degree of a monomial is the sum of the exponents of the variables.

Therefore,

The degree of the monomial - 20.5   is 0, because there is no variables only numeric terms.

Step-by-step explanation:

To find the degree of monomial.

Basically,

- If one term is present, then it is monomial.

- If two term is present, then it is binomial.

- If three term is present, then it is trinomial.

- If more than three term is present, then it is polynomial.

Davina travelled 500 miles in 7 days. What is the average
distance travelled each day?

Answers

71.42 and to be exact it’s 71 miles
71 is the answer
Answer:

71 miles

Step by step explanation:

500:7 and u will have the average distance travelled each day

Area of rectangle and triangles!! HELP ASAPPP

Answers

Answer:

13. 15

14. 7.25

15. 18.7

16. 40.515

17. 9.6

18. 12.95

19. 20.4

20. 16.2

21. 24

22. 25.65

Simplify 7 1/3t−(10 2/3t−6) pls

Answers

Answer:

[tex]-\frac{10t}{3}+6[/tex]

Step-by-step explanation:

[tex]7 \frac{1}{3}t-(10 \frac{2}{3} t-6)[/tex]

Convert [tex]7\frac{1}{3}[/tex] to a mixed number

[tex]7\frac{1}{3}=\frac{7\cdot 3+1}{3}[/tex]

[tex]=\frac{22}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(10\frac{2}{3}t-6\right)}[/tex]

Convert [tex]10\frac{2}{3}[/tex] into a mixed number

[tex]10\frac{2}{3}=\frac{10\cdot 3+2}{3}[/tex]

[tex]=\frac{32}{3}[/tex]

[tex]\bold{\frac{22}{3}t-\left(\frac{32}{3}t-6\right)}[/tex]

[tex]=\frac{22t}{3}-\frac{32t}{3}+6[/tex]

[tex]\bold{=\frac{-10t}{3}+6}[/tex]

Terms

Follow the PEMDAS order of operation:

P = ParenthesisE = ExponentsM = MultiplicationD = DivisionA = AdditionS = Subtraction

You do these steps in the order for which the equation comes. For example, start with the exponents if there are not any parentheses.

Other Questions
Read the passage. The Ride of His Life When Jesse Senko was 12 years old, he had an experience that literally changed his life. Senko was snorkeling while on vacation in the Cayman Islands with his family when a large sea turtle swam near him. Senko naturally did what any 12-year-old boy would do and decided to grab the turtle and go for a ride. That turtle ride, in some ways, has never ended. People find their passions in many different ways. Senko found his passion while riding on the back of a turtle when he was just 12 years old. Today, Senko is a conservation scientist at Arizona State University. He focuses his research and lifes work on marine resource sustainability. Can you guess what that includes? If you guessed sea turtles, you would be correct. In college, Senko majored in fisheries and wildlife science, and he also received a Master of Science degree in wildlife ecology. Much of the focus of his work is on saving endangered sea turtles. Sea turtles help keep the ocean healthy, and thus their well-being affects the entire ecosystem. They provide a natural regulatory system for the environment. For example, sea turtles eat seagrass, which helps it grow properly, and their unhatched eggs provide nutrients for plant life to keep beaches healthy. Sea turtles also provide a home for small animals that attach to their shells. Sea turtles are endangered because fishermen inadvertently catch them in their nets, which can cause the turtles irreparable harm. Senko came up with the idea to create solar-powered fishing nets so fishermen can readily see when they accidentally catch a sea turtle. Because the lights are solar powered, the fishermen do not have to maintain the lights or change the batteries. This technology has resulted in a 65 percent reduction in sea turtle catches thus far. Senkos goal is a 100 percent reduction. Question 1 Part A What is a central idea of "The Ride of His Life"? Solar power is essential to saving sea turtles. Sea turtles are the most endangered animals in the ocean. Sea turtles are a critical part of the marine ecosystem.Modern technology such as solar nets will help save the environment.Part BWhich sentence from the text best shows the development of the central idea in Part A?"Today, Senko is a conservation scientist at Arizona State University. He focuses his research and lifes work on marine resource sustainability.""Sea turtles are endangered because fishermen inadvertently catch them in their nets, which can cause the turtles irreparable harm.""sea turtles eat seagrass, which helps it grow properly, and their unhatched eggs provide nutrients for plant life to keep beaches healthy.""This technology has resulted in a 65 percent reduction in sea turtle catches thus far." Th stalest tree in the world is a red wood in red wood national and state parks .it is 379feet tall .how many yards is this Which equation best represents the line? y = 3x + 3y = 1/2x 3y = 1/2x + 3y = 3x + 1/2 In a set of bivariate data, an additional point is added near the regression line but far away from the rest of the data. thiswill the slope of the regression line and the correlation coefficient.A slightly change, strengthenB greatly change, weakenC slightly change, weakenD greatly change, strengthenE not change, not change What are the coordinates of C if translated 5 units upward? Write each expression in terms of sine and cosine, and then simplify so that no quotients appear in the final expression and all functions are of x only.[tex]\frac{csc^2 (-x)-1}{1-cos^2 (-x)}[/tex] I need the answers for this please 3.61.9t+1.2+5.1t //////////////////////////////////////////////////////////// Which of the following is a limited quantity item?. Please find the range of these numbers What is the unit of frequency Jacob sells lemonade at a park. His cost to sell the lemonade is a one-time fee for the table,plus a fixed cost to make each cup of lemonade. The line shows the total cost, y, for 3 cupsof lemonade.vCost of Selling LemonadeUseyAy605040Cost ($)302010 X01050203040Number of Cups Stella models a product with algebra tiles. Write a number sentence that best describes her model. Fill in the blanks. Jill takes 2 hours to paint a room, Jim takes 3 hours to paint a room. How long (in minutes) will it take both of them to paint a room The question is attached. which statement describes how slavery created a military advantage for the confederacy during the u.s. civil war? WILL GIVE BRAINLIEST HELP ASAP!! WILL ADD 5 STAR RATING !!! ANY AND ALL LINKS OR WRONG ANSWERS WILL BE REPORTED !!!! Which answer choice shows the correct width and length of a rectangle with a perimeter of 220 inches? A. Length: 40 in.; Width: 62 in. B. Length: 11 in.; Width: 20 in. C. Length: 10 in.; Width: 20 in. D. Length: 50 in.; Width: 60 in. who won the brown v. board of education case ? Even though the pizza was too to eat, we ate it anyway