Will give BRAINLIEST!! Write a polynomial and show all the steps you would take to factor this polynomial completely. Please explain each step thoroughly.

I am not accepting links. Thank you:)

Answers

Answer 1

Step-by-step explanation:

Consider this polynomial,

[tex]8 {x}^{2} + 2x - 3[/tex]

First, I do the AC memethod. To find my two numbers,

That is to find two numbers that multiplied will equal my leading coeffeicent, A times my constant, C

And that will also add to 2, my middle term.

So using that

[tex]8 \times - 3 = - 24[/tex]

So let find factors of-24:

Factors can be positve or negative

The factors of 24 are : 1,2,3,4,6 8,12,24.

So which one of these add up to 2.

[tex]6 + ( - 4) = 2[/tex]

and

[tex]6 \times - 4 = - 24[/tex]

So six and negative four is our numbers.

Now, let set up our binomials

Step 1: Rewrite the orginal equation by using 6x and -4x instead of 2x.

Disclaimer: The placement of these numbers doesn't matter.

So we have

[tex]8 {x}^{2} + 6x - 4x - 3[/tex]

Step 2: Group the first two terms and last two terms

[tex](8 {x}^{2} + 6x) + ( - 4x - 3)[/tex]

Factors the first group by finding the GCF.

x is the greatest common variable, and 2 is the gcf so we have

[tex]2x(4x + 3) + ( - 4x - 3)[/tex]

Next, factor the next group by -1.

[tex]2x(4x + 3) - 1(4x + 3)[/tex]

Combine the outside factors.

[tex](2x - 1)(4x + 3)[/tex]

So those are the factors.


Related Questions

Please Help! Will Give Brainlest!

Answers

Answer:

y = - 1

Step-by-step explanation:

the midline is positioned midway between the maximum and minimum values , that is

maximum value = 2 and minimum value = - 4 , then

y = [tex]\frac{2-4}{2}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

equation of midline is y = - 1

i need help with this

Answers

Answer:

if c=1

then,

28-1×1×1+6=33

if c=2

then,

28-2×2×2+6=26

if c=3

then,

28-3×3×3+6=7

Expression: 28 - c^3 + 6

If c = 1...

28 - (1)^3 + 6

28 - 1 + 6

27 + 6

33

If c = 2...

28 - (2)^3 + 6

28 - 8 + 6

20 + 6

26

If c = 3...

28 - (3)^3 + 6

28 - 27 + 6

1 + 6

7

Hope this helps!

How do you recognize if a binomial is a difference of perfect squares and how is the pattern used to factor the binomial?

Answers

Answer:

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Step-by-step explanation:

A binomial is an expression with only terms where at least one is a term with a variable. When we can factor for difference of squares, we can have two variable terms or just one with a constant.

A difference of squares has the following form . Any two perfect squares connected by subtraction can be factored.

It factors to (a+b)(a-b).

Answer:

Step-by-step explanation:

An example is a^2 - b^2.

Also 64 - 49   (as 64 are both perfect squares).

The way to factor is by using the identity:

a^2 - b^2 = (a - b)(a + b)      ( a + in one parentheses and - in the other)

Examples:

x^2 - 4y^2 = (x - 2y)(x + 2y)     [ x is the square root of x^2 and 2y is square root of 4y^2)

144 - 16 = (12 - 4)(12 + 4)

9x^2 - 36y^2 = (3x - 6y)(3x + 6y)

Find the solution to the equation:
f(x)=x^2-4x+3
Please show work!

Answers

Answer:

UM make a graph if you want so yea

Step-by-step explanation:

[tex]\\ \rm\rightarrowtail x^2-4x+3[/tex]

Use quadratic formula

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm\sqrt{16-12}}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=\dfrac{4\pm 2}{2}[/tex]

[tex]\\ \rm\rightarrowtail x=2\pm 1[/tex]

[tex]\\ \rm\rightarrowtail x=3,1[/tex]

2-y^2=-14 solve for y express answer as an integer or in simplest radical form

Answers

Answer:

8

Step-by-step explanation:

y^2=-16

y= -16/1 % 2/1

y=-16/1 % 1/2

y = 8

Answer:

y=4

Step-by-step explanation:

its -y^2=-16. square root both sides to get rid of the exponent and it gives you -y=-4 which is the same as y=4

One side of a triangle is 5 units longer than a second side. The ray bisecting the angle formed by these sides divides the opposite side into segments that are 7 units and 9 units long. Find the perimeter of the triangle. Give your answer as a reduced fraction or exact decimal

Please explain your answer.

Answers

The perimeter of the triangle described in statement has a measure of 56 units long.

How to determine the perimeter of a triangle

After a quick though careful reading, we construct a triangle based on all information given in the statement, based on the fact that the longest segment is adjacent to the longest missing side. Since both sides have two angles with the same magnitude, then we have the following ratios:

[tex]\frac{x}{7} = \frac{x+5}{9}[/tex]   (1)

Now we solve the expression for x:

9 · x = 7 · x + 35

2 · x = 35

x = 17.5

And the perimeter of the triangle is determine by summing the three sides:

p = 9 + 7 + (17.5) + (17.5 + 5)

p = 56

The perimeter of the triangle described in statement has a measure of 56 units long. [tex]\blacksquare[/tex]

To learn more on triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823

Using your answer from #7, find the perimeter of the triangle.
Answer From #7: 9

Answers

Answer:

58

Step-by-step explanation:

x=9

3(9) + 1 + 4(9) -8 + (9) - 7 = 58

The angle of elevation to a nearby tree from a point on the ground is measured to be 65 degrees. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

Answer:

102feets

Step-by-step explanation:

sin 65=92÷x

0.906=92÷x

x=102

please guys help me if u answer it correctly I will brainlist u​

Answers

Answer:

1= 40, 25, 10

2= 9,375, 46,875, 234,375

3= 234, 729, 2,187

4= 192, 384, 768

A chocolatier makes chocolate bon-bons in the shape of a sphere with a diameter of 2 cm. The chocolate used in the bon-bons has a density of 1.33 g/cm^ 3 If the chocolate used costs $0.04 per gram, how much would the chocolate for 110 bon bons cost , to the nearest cent?

Answers

The total amount it would cost to make 110 bon bons given the cost per gram is $24.52.

What is the total amount it would cost to make 110 bon bons?

The first step is to determine the gram used in making the chocolate.

Gram = density x volume

Volume = 4/3πr³

4/3 x 22/7 x (2/2)³ = 4.19cm³

Gram = 4.19cm³ x 1.33 = 5.57 g

Cost of 110 bon bons = 5.57 x 0.04 x 110 = $24.52

To learn more about density, please check:

https://brainly.com/question/3704320

Use the distributive property (expand) to write an equivalent expression for: 3(4x-2t). Type your answer ( I NEED THIS RIGHT AWAY PLS)

Answers

Answer:

The distributive property here is to just multiply each value by tree number outside the parenthesis.

3 ( 4x - 2t)

12x - 6t

That would be your answer.

HELP QUICK EASY QUESTION IM JUST DUM
A factory has 10 pounds of red dye for its marbles. Each batch of
marbles uses 0.2 pound of red dye.
a. Juan says that the factory can make 5 batches of marbles with
the 10 pounds of dye. Explain why his statement is not reasonable.

Answers

Answer:

10 ÷ 0.2=50

Step-by-step explanation:

10 lbs in total. Each batch uses 0.2 lbs.

We can find how many batches can be made by dividing 10 by 0.2.

10 ÷ 0.2=50

Juan is incorrect because if they could only make 5 batches then they would have only had 1 pound of red dye available.

They have 10 pounds of red dye available to make marbles, and if each batch takes only 0.2 lbs of it, then they can make 50 batches of marbles.

If two angles are supplementary and congruent, what is the measure of each angle?

100°
180°
90°
45°

Answers

Answer:

90

Step-by-step explanation:

supplementary angles equal 180 degrees and 90+90=180

Answer:

90°

Step-by-step explanation:

     Supplementary angles are angles that add up to 180°.

     Congruent means the angles are equal to each other.

     Since there are two angles, and they have to be equal to each other, we can divide 180° by 2 to find the measure of each angle.

180° / 2 = 90°

            Both angles have a measure of 90°.

i need help with this 3n-4=17 show work

Answers

Answer:

The value of n = 7

Step-by-step explanation:

=> 3n-4=17

=> 3n = 17+4

=> 3n = 21

=> n = 21/3

=> n = 7

Answer:

n=7

Step-by-step explanation:

1. Solve

3n-4=17

3n-4+4=17+4

3n=21

3n/3=21/3

n=7

2. Check

3x7-4=17

21-4=17

17=17

Correct!
3. Answer

n=7

An equation is shown below: 2(7x − 3) = 9 Which of the following correctly shows the beginning steps to solve this equation? (4 points)​

Answers

Answer:

2(7x-3)=9

14x-6=9

14x=9+6

14x=15

x=15/14

Hey there!

Let's solve this equation!

We have

2(7x-3)=9

Use the Distributive Property & distribute 2:

14x-6=9

Now, add 6 to both sides:

14x=15

Divide both sides by 14:

x=15/14

Hope everything is clear.

Let me know if you have any questions!

#ILoveLearning

:-)

Use the function below to find f(-4).
fx) = 2^x

Answers

Answer:

1/16

Step-by-step explanation:

plug in -4 instead of the x.

if the exponent is negative it can be written as 1/2^4

so the answer is 1/16

Find the missing length of the triangle.

Answers

Answer:

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

Step-by-step explanation:

[tex]a^{2}[/tex] + [tex]b^{2}[/tex] = [tex]c^{2}[/tex]           (Pythagorean Theorem)

[tex]a^{2}[/tex] + [tex]4^{2}[/tex] = [tex](12\frac{1}{3})^{2}[/tex]  (square numbers)

[tex]a^{2}[/tex] + 16 = 152 [tex]\frac{1}{9}[/tex]  (subtract 16, both sides

[tex]a^{2}[/tex] = 136 [tex]\frac{1}{9}[/tex]        (square root both sides)

a = 11 [tex]\frac{2}{3}[/tex] or 11.66 repeating

4x + y = 10
7x + 2y = 17

Answers

Answer:

x = 3, y = - 2

Step-by-step explanation:

By substitution method,

4x + y = 10 -------> equation 1.

7x + 2y = 17 -------> equation 2.

From equation 1,

y = 10 - 4x ------> equation 3.

Substitute equation 3 in 2,

7x + 2 ( 10 - 4x ) = 17

7x + 20 - 8x = 17

7x - 8x = 17 - 20

- x = - 3

x = 3

Substitute x = 3 in equation 1,

4 ( 3 ) + y = 10

12 + y = 10

y = 10 - 12

y = - 2

Hence,

x = 3

y = - 2

✿————✦————✿————✦————✿

:

=

=−

✿————✦————✿————✦————✿

:

* , . .

* ℂ - .

* .

* .

* / − +.

* − / + / , +=.

* - / + /

* /

* /

*

* − = -/ + /. , .

* -/ -

* / / . .

✿————✦————✿————✦————✿

pa brainliest kung ayaw, edi wag** char

Please help simplify fractions

Answers

Answer:

this is easy the a sewer is 12

PLEASE HELP THIS IS HARD

An experiment involves rolling two dice simultaneously. The following table shows the possible outcomes using the format of (die 1,die 2).

1 2 3 4 5 6
1 (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)
2 (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)
3 (3,1) (3,2) (3,3) (3,4) (3,5) (3,6)
4 (4,1) (4,2) (4,3) (4,4) (4,5) (4,6)
5 (5,1) (5,2) (5,3) (5,4) (5,5) (5,6)
6 (6,1) (6,2) (6,3) (6,4) (6,5) (6,6)

What is the probability of rolling two numbers with a sum that is less than 7?

Enter your answer as a reduced fraction, like this: 3/14

Answers

Answer:

5/12

Step-by-step explanation:

1 (1,1) (1,2) (1,3) (1,4) (1,5)  -5

2 (2,1) (2,2) (2,3) (2,4)  -4

3 (3,1) (3,2) (3,3)  -3

4 (4,1) (4,2)  -2

5 (5,1) - 1

I took each row from the table and deleted the die rolls that added up to less than 7.

(In row 1 there were 5 rolls, in row 2 there were 4 rolls, and so on)

Then add the number of rolls. (5+4+3+2+1= 15)

Find the total number of possible rolls [(6)(6)=36]

Put them in fraction form, rolls that are less than 7/total number of rolls

You get 15/36

Reduce the fraction by adding the numerator and the denominator by 3.

Your final answer is 5/12.

how do you do one step equations?

Answers

A one-step equation is an algebraic equation you can solve in only one step. You've solved the equation when you get the variable by itself, with no numbers in front of it, on one side of the equal sign.
It’s simple to do one step equations

Let’s take x = -5 + 7 for example.
First, we need to remove -5. We can do this by adding 5 to -5 to make it zero. Since we added 5, we have to add 5 to seven. What ever you do on one side, you have to do to the other. 5 + 7 = 12. Now all that’s left on the equation is x = 12 and that would be your answer. Im not good at explaining things but I hope this helps you!

What is m _BAC?
A) 40°
B) 60°
C) 70°
D) 80°

Answers

A because of supplementary angels. 180-40=40 :))

In circle S with the measure of arc \stackrel{\Large \frown}{RT}= 156^{\circ} RT ⌢ =156 ∘ , find \text{m} \angle RSTm∠RST

Answers

The measure of arc RT in the circle S is about 60 degrees.

What is a circle?

A circle is the locus of a point such that the distance from its fixed point is always constant.

The question is not complete. A similar question is attached.

From the diagram:

arc RT = 2 * ∠RUT(angle at circle center is twice angle at circumference)

arc RT = 2 * 30

arc RT = 60°

The measure of arc RT in the circle S is about 60 degrees.

Find out more on circle at: https://brainly.com/question/24375372

Question is in the picture:

Answers

Answer:

its a cause you divide 6 on both sides and 48 divided by 6 is 8 and since its a greater than symbol and the numbers werent negative its gonna be a

Step-by-step explanation:

Answer:

A ) the Value of t is greater than 8

Step-by-step explanation:

6t>48

t>48/6

t>8

The amount of garbage produced in the United States varies directly with the number of people who produce it. It is estimated that on average 200 people produce 50 tons of garbage annually. Approximately how many tons of garbage are produced each year by 100,000 people?
A. 800 tons
C. 125,000 tons
B. 25,000 tons
D. 400,000 tons

Answers

Answer:

B. 25,000 tons

Step-by-step explanation:

The equation is x(tons of garbage) = 1/4y(people). In this question, the y is given (100,000). using the equation, 1/4 of 100,000 is 25,000.

if the surface area of a sphere is 48.3cm^2, find its diameter. PLEASE HURRY

Answers

Answer:

Step-by-step explanation:

The diameter to answer 3.92 A=4 pi r2 d=2r

What is the volume of this cone? Use 3.14 for π and round your answer to the nearest tenth.

In your answer, give the volume of the cone rounded to the nearest tenth, and then explain how you calculated it.

Answers

Volume of a cone = 1/3•pi r•r•h

V = 1/3•pi•2•2•8

V = 33.49333333333333

V = 33.5 inches squared

Jake has 900 cm³ of material. He uses 14. 5 cm³ to make a right triangular prism. He wants to make a second prism that is a dilation of the first prism with a scale factor of 4. How much more material does Jake need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jake needs an additional Choose. Cm³ of material to make the second prism.

Answers

A ratio shows the relation between two numbers. The amount of more material that is needed by Jake is 42.5 cm³.

What is a Ratio?

A ratio shows us the number of times a number contains another number.

Given that the volume of the first prism is 14.5cm³, while the scale factor is 4. Since the scale factor is applicable to dimension, and volume is always the cube of three-dimension.

Therefore, the volume of the scaled prism will be the cube the of the volume of the first prism, which can be written as,

[tex]\rm \text{Volume of the Scaled prism}= (Scale\ factor)^3 \times \text{Volume of the first prism}[/tex]

Substitute the values,

[tex]\rm \text{Volume of the Scaled prism}= 4^3 \times 14.5 = 928\ cm^3[/tex]

Since, the volume of material with Jake is 900 cm³, while the material he has already used is 14.5 cm³, thus the volume of the material that is left with Jake is 885.5 cm³(900cm³-14.5cm³).

Now, since the material needed to make the scaled prism is 928 cm³, the amount of material that is with Jake is 885.5 cm³, therefore, the amount of the material that is needed by Jake to complete the scaled prism can be written as,

The Amount of more material Needed by Jake = Amount of material needed to make the scaled prism - Amount of material left with Jake

The Amount of more material Needed by Jake = 928 cm³ - 885.5 cm³

                                                                               = 42.5 cm³

Hence, the amount of more material that is needed by Jake is 42.5 cm³.

Learn more about Ratios:

https://brainly.com/question/1504221

find the value of x in the triangle below

Answers

Answer:

√80 (Option A)

Step-by-step explanation:

This is Right Angled Triangle.

We'll solve this using the Pythagorean Theorem.

Let,

x be AC, where AC is the Hypotenuse.

4 be AB, where AB is the Perpendicular.

8 be BC, where BC is the Base

We know that,

[tex]{ \longrightarrow \pmb{ \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = (4) {}^{2} +( 8) {}^{2} }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 16 +64 }}[/tex]

[tex]{ \longrightarrow \sf{ \qquad (x) {}^{2} = 80 }}[/tex]

[tex]{ \longrightarrow \it\pmb{ \qquad x {} = \sqrt{80} }}[/tex]

Therefore,

The value of x is √80

The figure is a right angled triangle , where the value 4 is perpendicular , 8 is base and x is hypotenuse.

So, By Pythagoras theorem

[tex]x {}^{2} = 4 {}^{2} + 8 {}^{2} [/tex]

[tex]x = \sqrt{16 + 64} [/tex]

[tex]x = \sqrt{80} [/tex]

4) Aníka grows vegetables and sells them at a farm stand. She gives a discount to local restaurants.

The table shows the restaurant's price,p. Of buying vegetables with a regular price of r dollars.

Regular price in dollars (r)

40

45

50

55

Restaurant's price in dollars (p)

32

37

42

47

• Write an equation that represents the relationship.

С



р

8

Answers

Answer:

p = r-8

Step-by-step explanation:

40-8=32
45-8=37
50-8=42
47-8=47
each step goes down by the same amount, so anika gives an 8 dollar discount to the local restaurants

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