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

f(x) = 8x-3 and g(x) =4x +5; find (f /g) (x)

Answers

Answer:

32x + 37

Step-by-step explanation:

f(g(x)) = 8(4x+5) - 3

= 32x + 40 - 3

= 32x + 37

Claire has 38 yards of material to make costumes for the school play.
She needs 2 3/8 yards for each costume. How many costumes can she
make?

Answers

Answer:

16

Step-by-step explanation:

38 divided by 2 3/8 is 16 and 16 times 2 3/8 is 38

find the derivative of x³/tanx​

Answers

Answer:

Below.

Step-by-step explanation:

We apply the quotient rule:

dy/dx = ( tanx * 3x^2 - x^3 * sec^2x)  /  (tan^2 x)

= x^2( 3tanx - xsec^2x) / tan^2x

PLS HELP WILL MARK YOU BRAINLIEST!!
No fake answers pls

Answers

Answer:

1. 5/3 is not equal to 3/5.

2. 7-(4+3) is equal to (4+3)-7

3. (x + y) + 1 is equal to x + (y + 1)

Step-by-step explanation:

1. 5/3 and 3/5 are completely different fractions and when you switch the denominator and the numerator you get a different fraction: 5/3 = 1 2/3, 3/5

2. If you solve both of them, they are equal because 7-7 = 7-7

3. This is equal due to the associative addition property, which means that when the addition of three or more numbers, the total/sum will be the same, even when the grouping of addends are changed.

Plz mark brainliest thx

#1

[tex]\boxed{\dfrac{a}{b}=\dfrac{b}{a},a=b}[/tex]

Here 5[tex]\neq 3[/tex]

Hence inequality holds

#2

[tex]\\ \sf\longmapsto 7-(4+3)=(4+3)-7[/tex]

[tex]\\ \sf\longmapsto 7-7=7-7[/tex]

[tex]\\ \sf\longmapsto 0=0[/tex]

Equality holds

#3

[tex]\\ \sf\longmapsto (x+y)+1=x+(y+1)[/tex]

Equality holds

Done

How can i answer this question

Answers

Answer: 10g+6h+8

So none of the above I think

Step-by-step explanation:

Answer:

It should be C none of the above

Solve for x.
(x+16)
(4x-5)°
11
7
9
13

Answers

Answer:

4

3

+

5

9

2

8

0

Step-by-step explanation:

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Linear Inequalities: Mastery Test
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Answers

Hope this helps
Answer…

The inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

The inequality is represented as:

[tex]2x + y >4[/tex]

Subtract 2x from both sides

[tex]y >4 - 2x[/tex]

Rewrite the inequality as:

[tex]y >- 2x+4[/tex]

The linear inequality is represented as:

[tex]y >mx+c[/tex]

Where:

m represents the slopec represents the y-intercept

So, by comparison:

[tex]m = -2[/tex]

[tex]c = 4[/tex]

This means that the inequality [tex]2x + y >4[/tex] has a slope of -2, and the y-intercept of 4

See attachment for the graph of the inequality

Read more about inequalities at:

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A small bag of trail mix contains 3 cups of dried fruit and 4 cups of almonds. A large bag contains $4 1/2 cups of dried fruit and 6 cups of almonds. Write and solve a system of linear equations to find the price of 1 cup of dried fruit and 1 cup of almonds. Let f represent the price of one cup of dried fruit and let a represent the price of one cup of almonds.What is the equation for the small bag and the large bag.

Answers

Answer:

Let's call:

f = price of 1 cup of dried fruit

a = price of 1 cup of almonds

In order to build the linear system, you need to consider that the total price of a bag is given by the sum of the price of cups times the number of cups in each bag, therefore:

Solve for a in first equation:

a = (6 - 3f) / 4

Then substitute in the second equation:

41/2 f + 6 · (6 - 3f) / 4 = 9

41/2 f + 9 - 9/2 f = 9

16 f = 0

f = 0

Now, substitute this value in the formula found for a:

a = (6 - 3·0) / 4

  = 3/2 = 1.5

Hence, the cups of dried fruit are free and 1 cup of almond costs 1.5$

Step-by-step explanation:

Find the equation of a line perpendicular to y= 3x + 7 that passes through the
point (9,-7).

Answers

Okay so the gradient of the perpendicular line is -1/3 and then from there u have to solve for the y intercept. Substitute in 9 and -7 where -7 is y and 9 is x. The equation is y=-1/3x-4 :)

Answer:

[tex]y=-\frac{1}{3}x-4[/tex]

Step-by-step explanation:

To find the slope perpendicular to this, take the negative reciprocal of the slope. Basically, invert both the fraction and the negative/positive so that 3 becomes -1/3.

Now, using the new slope and the given point, we can find the y-intercept. Plug the 3 known variables into the equation:

[tex]y=mx+b\\-7=(-\frac{1}{3})(9)+b[/tex]

Then, solve for b:

[tex]-7=-3+b\\-4=b\\b=-4\\[/tex]

Finally, with both the slope and the y-intercept, you can write the equation of the line:

[tex]y=-\frac{1}{3}x-4[/tex]

HELP URGENT!!! RESPOND QUICKLY!!!​

Answers

Answer:

i think x = 7 y = 11

Step-by-step explanation:

have a nice dae

The solution of the equation 3 + 5 (t-1) = 33 is ________.​

Answers

Answer:

the solution is  =  7

[tex]3 + 5(t - 1) = 33 \\ = > 3 + 5t - 5 = 33 \\ = > 5t = 33 - 3 + 5 \\ = > 5t = 30 + 5 \\ = > 5t = 35 \\ = > t = \frac{35}{5} \\ = > t = 7[/tex]

Answer:

7

Hope you could get an idea from here.

Doubt clarification - use comment section.

The map shows two biking trails that meet at a park, located at the coordinate (1, 9). Each unit on the map represents 0.5 mile.How many miles longer is Trail A than Trail B?

Answers

The length of the trails can be determined be using a formula related to

Pythagorean theorem, which makes use of the rise and run of a trail.

The number of miles longer Trail A is than Trail B is 4 miles

Reasons:

The location of the park = (1, 9)

The stating point of Trail A = (-7, -6)

Starting point of Trail B = (6, -3)

The length of a trail is adapted from the formula for the distance between points which is a form of Pythagorean theorem as follows;

[tex]Length \ of \ a \ trail, \ L = \mathbf{\sqrt{\left (x_{2}-x_{1} \right )^{2}+\left (y_{2}-y_{1} \right )^{2}}}[/tex]

Therefore;

[tex]Length \ of \ trail, \ A = \sqrt{\left (1-(-7) \right )^{2}+\left (9-(-6) \right )^{2}} = \mathbf{17}[/tex]

[tex]Length \ of \ trail, \ B = \sqrt{\left (1-6 \right )^{2}+\left (9-(-3) \right )^{2}} = \mathbf{13}[/tex]

The difference between the lengths of the trails = 17 mi - 13 mi = 4 miles

Therefore;

Trail A is 4 miles longer than Trail B

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Lola's Suds costs $3.48 for a 12 ounce bottle. Bill's
Bubbles cost $1.60 for a 12 ounce bottle. Which
bottle cost less per ounce?

Answers

Answer: Bill's $0.1333333 per oz

Step-by-step explanation:

Given 1 || m , find the value of %.
(7x - 1)
125"
m
Find x

Answers

Answer:x = 18Introduction:

We know that 7x - 1 must equal 125 because of Alternate interior angles. Now, let's solve for x.

Step-by step solution:=> 7x - 1 = 125=> 7x = 126=> x = 126 ÷ 7=> x = 18Conclusion:

Therefore, we can conclude that x = 18.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

[tex]\\ \tt\Rrightarrow 7x-1=125[/tex]

[tex]\\ \tt\Rrightarrow 7x=125+1[/tex]

[tex]\\ \tt\Rrightarrow 7x=126[/tex]

[tex]\\ \tt\Rrightarrow x=126/7[/tex]

[tex]\\ \tt\Rrightarrow x=18[/tex]

Will give brainly,5 stars,and thank if it CORRECTLY

Answers

Answer:

$31.68

Step-by-step explanation:

1.4 x 9.15 = $12.81

0.8 x 10.75 = $8.60

2.6 x 3.95 = $10.27

12.81 + 8.60 + 10.27 = $31.68

leo scored 3 out of every 4 questions on a exam. What percentage of the questions did he get right

Answers

75%. He correctly answered 3/4

What is the slope of the line that connects the points (5, 4) and (-3, 3)?-1/8 1/8 8 -8

Answers

Answer: 1/8

Step-by-step explanation: 3-4 = -1

-3-5= -8

-1/-8=1/8

Annabelle picked 65 apples at a local orchard. 40% of the apples were green apples. How many green apples did Annabelle picked

Answers

26 green apples

if you do 0.4 * 65 you get 26 which is 40% of 65

hope this helps!

What is the counter example for the conditional below? if a number is divisible by 6, then it is divisible by 18.

Answers

Answer:

24 is divisible 6 but not 18.

Step-by-step explanation:

The statement in the question is not true. So a counterexample is an example of the statement being false. Consider 24. 24 is divisible by 6, but 24 is not divisible by 18.

The counter example for the expression where a number is divisible by 6 then alternatively it will be divisible by 18 is when the number is 24 or 30

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the number be n

The number n is divisible by 6

And , the number will be divisible by 18 when it is divisible by 6

Substitute the value of n = { 24 , 30 }

The number n = 24 is divisible by 6 but not divisible by 18

And , The number n = 30 is divisible by 6 but not divisible by 18

Hence , the expression is not valid

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A plane travels 460 miles per hour. how many miles does the plane travel in feet per second?

Answers

Answer:

674.667 feet per second

Challenge question? Thanks.

Answers

Answer:

x=15

Step-by-step explanation:

the basic property is: AB/AD=BC/CD, for more info see the attachment.

simplify and factor if necessary​

Answers

Answer:

[tex]\frac{1}{x}[/tex]

Step-by-step explanation:

[tex]\frac{3x - 12}{3x^{2} - 12x}[/tex]

[tex]\frac{3x - 12}{x(3x-12)}[/tex]          Factor out x.

[tex]\frac{1}{x}[/tex]                    Simplify.

the ratio of boys and girs at rotterdam high school is 3:5. there are 160 students at the school calculate the number of boys and the number of girls at rotterdam high school

Answers

Answer:

There are 60 boys and 100 girls at Rotterdam High School

Step 1: Add the ratios

=> 3 + 5=> 8

Step 2: Divide 160 by 8.

=> 160 ÷ 8=> 20

Step 3: Multiply.

=> Total students of boys: 20 x 3 = 60 students=> Total students of girls: 20 x 5 = 100 students

Therefore, there are 60 boys and 100 girls at Rotterdam High School

Hoped this helped.

[tex]BrainiacUser1357[/tex]

what are the next three terms in the sequence below? 2, 5, 10, 50, ___, ___, ___

Answers

Answer:

2, 5, 10, 50, 55, 275, 280

Step-by-step explanation:

hope this heled you.. :)

Based on the information marked in the diagram, AABC and ADEF must be congruent.

True or false

Answers

We conclude that the triangles are congruent, so the statement is true.

Are the two triangles congruent?

We can see two right triangles ABC and DEF.

In the diagram, we can see that BA = CE, and BC = EF.

And because both are right triangles, we can conclude that FD is equal to AC.

So the 3 sides are equal in both triangles, then we can conclude that the triangles are congruent.

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Simplify. Dividing radicals

Answers

Answer:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Step-by-step explanation:

You cannot leave a radical in the denominator, so the first step is to get rid of it. The way you do that is by multiplying the radical in the denominator by itself over itself because anything over itself is equal to 1. So, for example in this problem:

[tex]\frac{\sqrt{15}}{\sqrt{16} } *\frac{\sqrt{16}}{\sqrt{16} }[/tex]

From here you multiply straight across. The numerator will be equal to [tex]\sqrt{240}[/tex] and the denominator will be 16 because any radical multiplied by itself cancels the radical out and just equals the number inside of the radical. The last step is to simplify the numerator. You do this by finding factors of 240 which are:

1 * 2402 * 1203 * 804 * 605 * 486 * 408 * 3010 * 2412 * 2015 * 16

You want to use the greatest factor you have so you can break it down easier which in your case is (15 * 16). From here you simplify each of those numbers until you have a duplicate of something. The greatest factor of 15 is 3 * 5, so that won't simplify because there are no duplicate numbers. The greatest factor of 16 is 4 * 4 which means that it will simplify. When you are simplifying the duplicate (4) always goes outside of the radical and the non-duplicate (15) always goes on the inside of the radical. Your answer should look like this:

[tex]\frac{\sqrt[4]{15} }{16}[/tex]

Brinda has come to her aunt's place and wants to play a game on the computer. The computer is shown in the figure. She presses the button marked A and is surprised to find that the computer starts immediately and there is already a file open. Which of the following is the best explanation of what happened?

Answers

Answer:

she clicks the file

Step-by-step explanation:

Kevin drank
2
3
liter of water Monday before going jogging. He drank
5
7
liter of water after his jog. How much water did Kevin drink altogether? Write your answer as a mixed number.

Answers

Answer:

80 Liters

Step-by-step explanation:

23 + 57 = 80

80 = 57 + 23

Very important question ⁉️​

Answers

Answer:

90°

Step-by-step explanation:

AB and  CD are parallel lines and EF is reversal  

Therefore angles BGH and DHG are consecutive interior angles  

As we know the sum of consecutive interior angles equals to 180°:  

∠BGH + ∠DHG = 180°

Line GP bisects angle BGH , therefore  

m∠PGH = 1/2*m∠BGH

Line HP bisects angle GHD, therefore  

m∠PHG = 1/2*m∠GHD

Sum of two angles of triangle GHP:  

m∠PGH + m∠GHD = 1/2(∠BGH + ∠DHG) = 1/2*180° = 90°

Therefore the missing angle a is:  

∠a = 180° - (m∠PGH + m∠GHD) = 180° - 90° = 90°

Write as an equation/inequality: "The product of four and a number is the sum of the number and twelve."​

Answers

Answer: 4x = x+12

Step-by-step explanation:

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