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

In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework

Answers

Answer:

2/9

Step-by-step explanation:

please help me write quadratic equation given the roots and the leading coefficient

Answers

Answer:

Example Question: f(x) = 2x^2 + 2x - 1


If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)


Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)


To find the vertex, simply imput the axis of symmetry into the given equation.


And that’s about it.

Step-by-step explanation:

I don’t know what you’re asking for??

Please Help 30 Points

Answers

Answer:

Step-by-step explanation:

use prime factorisation to find the hcf of 612 and 1314​

Answers

Answer:

Step-by-step explanation:

612: 2*2* 3 * 3 * 17

1314: 2* 3 * 3 * 73

The highest common factor is 2 * 3 * 3 = 18

17 and 73 are both prime, so the factoring stops there.

Y=x-12, y=14 what is x I need someone to answer fast please

Answers

Answer:

x = 26

Step-by-step explanation:

If Y= x - 12 and Y = 14

Then we input the value of y which gets us the equation of: 14 = x - 12

Now we add 12 on both sides to isolate the variable.

We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x

Easily we can find that 26=x

please explain how you got the answer please i need to see how you got that answer!! umm please someone give me it quick

Answers

Answer:

y>-2

Step-by-step explanation:

her mistake was she did -22-6= -28 but the correct solution is -22+6= -16

CHOOSE THE CORRECT ANSWER

Answers

The answer is 5 because if you do 5x4x3 that gives you 60 and since the base adds up to 12, we do 12x5 to give us 60

base radius of 7cm and height of 35cm what is the cylinder's volume

Answers

Answer:

5390 cm³

Step-by-step explanation:

It is given that the base radius of a cylinder is 7cm and the height is 35cm and we are asked to find the volume of the cylinder.

We must know this formula :

⇒ Volume(Cylinder) = πr²h

We will take the value of π as 22/7

Now substituting the values :

⇒ Volume(Cylinder) = 22/7 × (7)² × 35

⇒ Volume(Cylinder) = 22/7 × 49 × 35

⇒ Volume(Cylinder) = 22 × 7 × 35

⇒ Volume(Cylinder) = 22 × 245

Volume(Cylinder) = 5390

Therefore,

The volume of the cylinder is 5390 cm³

Which equation can be used to calculate the surface area of the triangular prism net show below? The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters. [Not drawn to scale] Surface Area = (one-half) (5) (12) (5) (10) (12) (10) (13) (10) Surface Area = (one-half) (5) (13) (one-half) (5) (13) (13) (10) (12) (10) Surface Area = (2) (5) (13) (5) (10) (13) (10) (12) (10) Surface Area = (one-half) (5) (12) (one-half) (5) (12) (5) (10) (12) (10) (13) (10).

Answers

The  [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]  equation can be used to calculate the surface area of the triangular prism.

It is given that the triangular prism net showing in the figure with dimensions.

It is required to find which equation can be used to find the surface area of the triangular prism net.

What is surface area?

It is defined as the area of 3-dimensional geometry surfaces area sum which is occupying the outer area of the object.

We know the area of a rectangle = length × width

Area of the top rectangle = 13×10

Area of the middle rectangle = 12×10

Area of bottom rectangle=  5×10

The formula for finding the area of a triangle:

[tex]\rm A=\frac{1}{2} \times bh[/tex]

Area of right triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]

Area of left triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]

The surface area = Area of top+ Area of middle+ Area of bottom+ Area of    

                                a right triangle+ Area of the left triangle  

[tex]=13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]

Thus, the [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]  equation can be used to calculate the surface area of the triangular prism.

Learn more about the surface area here:

https://brainly.com/question/1196953

please help i need help ASAP

Answers

Answer:

118

Step-by-step explanation:

62+x=180

x=180-62

x=118

3.
Write an equation for the inverse function for each one-to-one function.
a. k(x)=58-2
x+10
b. h(x) =
x-3

need some help

Answers

Answer:

a) k(x) = 5x - 2

x = 5(y) - 2

5y = x + 2

y = (x+2)/5

k-¹(x) = (x+2)/5

b) h(x) = (x+10)/(x-3)

x = (y+10)/(y-3)

x(y-3) = y + 10

xy -3x = y + 10

xy - y = 3x + 10

y(x-1) = 3x + 10

y = (3x + 10)/(x-1)

h-¹(x) = (3x+10)/(x-1)

8 nickels 12 pennies?

Answers

Answer:

52 cents :)

Step-by-step explanation:

Nickel: 5 cents

Penny: 1 cent

5 x 8 = 40

12 x 1 = 12

40 + 12 = 52

Have an amazing day!!!

Please rate and mark brainliest!!

PLEASE HELP!
Solve for x. 4/5 = x/7 x =

Answers

Answer:

5.6

Step-by-step explanation:

4/5 = .8

so ? ÷ 7 = .8|
7 x .8 = 5.6
x= 5.6

x = 5.6

hope it helps...!!!!

Select all the statements that describe the distribution of the data

Answers

D because the statement says

Find the 9th term of the geometric sequence.

Answers

Answer:

7/6561

Step-by-step explanation:

nth term = a1 r^(n-1) so

9th term =  7* (1/3)^(9-1)

= 7*(1/3)^8

= 7/6561

what are two numbers that multiply to 64 and add to - 20

Answers

Answer:

-4 and -16

Step-by-step explanation:

Let x = first number

Let y = second number

Given:

The two numbers multiply to 64

⇒ xy = 64

Given:

The two numbers add to -20

⇒ x + y = -20

Rewrite  x + y = -20  to make x the subject:

⇒ x = -20 - y

Substitute into xy = 64 and solve for y:

⇒ (-20 - y)y = 64

⇒ -20y - y² = 64

⇒ y² + 20y + 64 = 0

⇒ (y + 4)(y + 16) = 0

⇒ y = -4, y = -16

As x + y = -20

If y = -4 then x = -16

If y = -16 then x = -4

Therefore, the two numbers are -4 and -16

Let they be a and b

a+b=-20--(1)ab=64

So

[tex]\\ \rm\rightarrowtail (a-b)^2=(a+b)^2-4ab[/tex]

[tex]\\ \rm\rightarrowtail (a-b)^2=(-20)^2-4(64)=400-256=144[/tex]

[tex]\\ \rm\rightarrowtail a-b=12\dots(2)[/tex]

From both equations

2a=-8=>a=-4-4+b=-20b=-16

3y - 2x = -15 and x = -6y

Answers

Answer:

X=6, Y=-1

Solved using substitution

Answer:

[tex]y = - 1[/tex]

Step-by-step explanation:

[tex]3y - 2( - 6y) = - 15 [/tex]

Simplify both sides

[tex]3y + 12y = - 15[/tex]

Combine Like terms

[tex]15y = - 15[/tex]

Divide both sides by 15

[tex]y = - 1[/tex]

Steve claims tan(x) - 3
What value of cos(x) supports Steve's claim?
9
41
0
9
40
40
41
41
40

Answers

The value of cos(x) that supports Steve's claim is 1/√10

SOH CAH TOA identity

Given the following trigonometry identity

tan(x) = 3

According to the theorem;

tan x = opposite/adjacent = 3/1

Opposite = 3

Adjacent = 1

Determine the hypotenuse

hyp = √3² + 1²
hyp = √10

Since cos(x) = adj/hyp

cos(x) = 1/√10

Hence the value of cos(x) that supports Steve's claim is 1/√10

Learn more on SOH CAH TOA here: https://brainly.com/question/20734777

help using the digits 0 to 9 ​

Answers

Answer:

Step-by-step explanation:

Assuming you can use any digit from 0-9

You can do 5% of 260 = 13 . All of which are different digits and not the same

This is true because 260 x .05 = 13

please help with this question

Answers

Answer:

your answer is 1,-2

Step-by-step explanation:

The ratio of the diameter of a larger circle to the diameter of a smaller circle is 3/2. What ratio represents the ratio of the area of the larger circle to the area of the smaller circle?

Answers

The bots are taking over brainly

Nezzie invests in 300 shares of stock in the fund shown below. name of fund nav offer price lkit mid-cap $16.58 $16.99 nezzie plans to sell all of her shares when she can profit $5,000. what must the net asset value be in order for nezzie to sell? a. $16.67 b. $33.25 c. $33.57 d. $33.66

Answers

The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

How to find the net asset value?

The net asset value is the difference of total asset value of the company to the total liabilities value of that company.

Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.

Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.

To find the net asset for this case, divide the profit with the number of shares and the higher price in that.

[tex]\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\[/tex]

Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.

Learn more about the net asset value here;

https://brainly.com/question/25646730

Solve the equation and enter the value of x below.
8x + 11 = 35

Answers

8x + 11 - 11 = 35 - 11

8x = 24

x = 24/8

x = 3

check

8 * 3 + 11 = 24 + 11 = 35

The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)

Answers

Answer:

271.2 meters

Step-by-step explanation:

See attached image.

find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm

Answers

The area of each given square is:

Part A: 1/4 cm²

Part B: 9/47 units²

Part C: 1.89 inches²

Part D: 0.01 meters²

Part E: 12.25 cm²

What is the Area of a Square?

Area of a square, with side length, s, is: A = s².

Part A:

s = 1/2 cm

Area = (1/2)² = 1/4 cm²

Part B:

s = 3/7 units

Area = (3/7)² = 9/47 units²

Part C:

s = 11/8 inches

Area = (11/8)² = 1.89 inches²

Part D:

s = 0.1 meters

Area = (0.1)² = 0.01 meters²

Part E:

s = 3.5 cm

Area = (3.5)² = 12.25 cm²

Learn more about area of a square on:

https://brainly.com/question/24579466

I do not understand this

Answers

Answer:

D. 2 (1/3) hours

Step-by-step explanation:

'Of' means multiplication, so we are going to multiply

3 (1/2) x (2/3) = 2 (1/3)

or

3.5 x 0.66 = 2.333

I hope this helps!

Can anyone solve this?

Answers

Would it be 40.25????

Answer:

  54 cubic inches

Step-by-step explanation:

Just as the area of a triangle is half the area of a rectangle with the same dimensions, the volume of a triangular prism is half the volume of a rectangular prism with the same dimensions:

  V = 1/2(LWH)

  V = (1/2)(9 in)(4 in)(3 in) = 54 in³

The volume of Phil's block of cheese is 54 in³.

What is the area of ABC?

Answers

Answer:

C 10

Step-by-step explanation:

Heron's formula to calculate the area of a triangle based on 3 sides :

p (half the perimeter) = (a+b+c)/2

area = sqrt(p(p-a)(p-b)(p-c))

AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)

AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)

BC = b = sqrt(2² + 4²) = 2×sqrt(5)

p = 2×sqrt(5) + sqrt(10)

area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =

= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =

= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10

Write a numerical expression to represent the phrase.

the difference of 4 cubed and 25

Answers

Hello!

First, "the difference" of 2 numbers means you subtract these numbers.

Then, 4 cubed is written as follows:

Subtract:

4³-25

[If necessary] Evaluate:

64-25

39

Hope everything is clear.

Let me know if you have any questions!

Always remember: Knowledge is power!

Can someone please help me? I really need this grade and I’m very lost in all of these questions. Thank you.

Answers

Answer: See below

Step-by-step explanation:

4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)

5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)

6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]

[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]

[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]

7) No, there are no outliers in the data set

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find the area of a square if its side length is: Part A. 1/5 cmPart B. 3/7 unitsPart C. 11/8 inchesPart D. 0.1 metersPart E. 3.5 cm Explain why air resistance is a contact force and gravity is a non-contact force. which statement best discribs hiw muscles respond to weight training A student watches the tide change, and sees water waves pass the end of the dockthat follow the pattern shown below:13)The student counts the waves with a stopwatch, and determines that it takes 8.75seconds for a single wave to go by. The wave frequency is ---- What is the difference between the distribution and the consumption of an item?A. One deals with the creation of an item; the other deals with the use of an item.B. One deals with transporting the item from where it was produced to the location where it will be sold; the other deals with the consumer's use of the item after purchase.C. One deals with deciding how much to charge for an item; the other deals with reconstructing the item in another format.D. One deals with the creation of an item; the other deals with the transportation of the item from where it was made to where it will be sold. Nezzie invests in 300 shares of stock in the fund shown below. name of fund nav offer price lkit mid-cap $16.58 $16.99 nezzie plans to sell all of her shares when she can profit $5,000. what must the net asset value be in order for nezzie to sell? a. $16.67 b. $33.25 c. $33.57 d. $33.66 Why do plants and animals adapt to theirenvironment?to protect themselves against other animalsto become better able to survive in their surroundingsall of the aboveto become better at getting food What type of reaction is represented by the following chemical equation? Explain your answer. 2Na + 2HCl 2NaCl + H2 + heat Select ALL the expressions that have the same value as the expression 0.5 0.25A. 1,200 60B. 1.2 0.6C. 0.012 0.06D. 2.5 2.25E. 0.05 0.025 A length of DNA that codes for a particular characteristic is called a A:alleleB:geneC:cellD:Dna base radius of 7cm and height of 35cm what is the cylinder's volume When experiencing ______ amnesia, you experience loss of memory for events that occurred prior to the trauma. When experiencing _____ amnesia, you cannot remember new information. The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol) why do we use case 1 and case 0 in nested switch statement before writing embedded switch statement Select all the statements that describe the distribution of the data Why were public schools established?A. To educate large groups of children.B. To teach English to immigrants.C. To educate minorities.D. To instill religious training. Animals may be domesticated for all of the following reasons, except to avoid predators in the wildto avoid predators in the wildto act as livestock and be raised as foodto act as livestock and be raised as foodto become petsto become petsto provide products such as wool or leatherThe answer is tor provide products such as wool and leather Why does conflict develop? PLEASE HELP!!!what examples does the author use to illustrate the idea that converting biomass to other forms of energy might help the environment Television provides escape and relaxation. Expansiate