how would you factor a quadratic expression like 9x^2-4

How Would You Factor A Quadratic Expression Like 9x^2-4

Answers

Answer 1

Hello, we need to see it as a difference of two squares as we know that for all a and b real numbers

[tex]a^2-b^2=(a-b)(a+b)[/tex]

So, here

[tex]9x^2-4=(3x)^2-2^2=(3x-2)(3x+2)[/tex]

Voila !

Thank you


Related Questions

5(-42/-7) + (-15) - (-3)​

Answers

Answer:

2058

Step-by-step explanation:

What is the vertex of the graph of y = 1/4 (x - 2)^2+ 6?
(0,7)
(4,7)
(2,6)
(-2,-6)

Answers

Answer:

focus | (2, 7)

vertex | (2, 6)

semi-axis length | 1

focal parameter | 2

eccentricity | 1

directrix | y = 5

Step-by-step explanation:

The sum of two numbers is seventy-two. Twice one of them equals ten times the other. What are the numbers? Please Help MEE It would be Amazing

Answers

Let's create a system of equations to solve this.

x + y = 72

2x = 10y

Let's solve this equation for x

2x = 10y

Divide both sides by 2

x = 5y

Plug 5y into our first equation to solve for y

5y + y = 72

Combine like terms

6y = 72

Divide by 6

y = 12

x = 5y = 5(12) = 60

Which unit should be used to measure mass of pencil?

Answers

Answer:

Grams

Step-by-step explanation:

Pencils are pretty light, so they should be measured in grams.

Answer:

grams :)

Step-by-step explanation:

I looked it up

A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs of the triangle while spraying the land. If the area covered is changing at
5 m2/s, how fast are the people moving when they are 5 m from the right angle? (Round approximations to two decimal places.)

Answers

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s

Write in standard form 5×100+4×19+6×1+2×1/10+8×1/1000

Answers

Answer:

Step-by-step explanation:

i think this is the answer

576.628

Answer:

[tex]\frac{72776}{125}[/tex]

Step-by-step explanation:

500+76+6+1/5+1/125

500*125/125 +76*125/125 + 6*125/125 +25/125 +1/125

62500+9500+750+25+1/125

[tex]\frac{72776}{125}[/tex]

or 582.208

or

[tex]582 \frac{26}{125}[/tex]

Does the ordered pair (−1,−3) satisfy the following system of equations? {2x+5y=−17−4x+3y=−5

Answers

Answer:

  yes

Step-by-step explanation:

Try it and see:

  2(-1) +5(-3) = -2-15 = -17 . . . . . works in the first equation

  -4(-1) +3(-3) = 4 -9 = -5 . . . . . . works in the second equation

Yes, the ordered pair (-1, -3) satisfies the equations.

__

Or, you can check the solution using a graphing calculator.

The school shop ordered 20 boxes of snacks and there were 89 snacks in each box. If 15 snacks were sold from each box, how many were left?

Answers

Answer:

1,480

Step-by-step explanation:

89x20=1,780 total snacks

20x15=300 snacks sold

1,780-300=1,480 snacks left

Which equation represents the data shown in the table below? x y 2 9 3 12 4 15 5 18 A. y = 2x + 9 B. y = 3x + 3 C. y = 3x + 12 D. y = 4x + 1

Answers

Answer:

Step-by-step explanation:

The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The data best fit the line y = 3x+3, the correct option is B.

What is an Equation?

The equation is a statement that equates two algebraic expressions with an equal sign.

The data is given

x   y

2    9

3    12

4    15

5    18

The equation that represents the data can be found by substituting the data and checking if they satisfy the equation.

The first equation is

y = 2x +9

Substitute ( 2,9)

9 = 2 *2 +9

9 ≠ 13

The second equation is

y = 3x +3

Substitute ( 2,9)

y = 3 *2 +3

9 = 9

Substitute ( 3,12)

12 = 3 *3 +3

12 = 12

Therefore, the data best fit the line y = 3x+3, the correct option is B.

To know more about Equation

https://brainly.com/question/10413253

#SPJ2

7x 3/4 qeqeqeqeqeqeqeqeqeqe

Answers

Answer:

5.25

Step-by-step explanation:

I need help. Three different polygons in this shape and explain how I know? Help please thanks!

Answers

Answer:

why it say least

Step-by-step explanation:

as the first word

Well, it's a square, a rhombus and a rectangle.

In geometry, a square is a regular quadrilateral, which means that it has four equal sides and four equal angles (90-degree angles, or 100-gradian angles or right angles). It can also be defined as a rectangle in which two adjacent sides have equal length.

A rhombus is a quadrilateral whose four sides all have the same length.

Hope I helped :)

Which equations are related equations to x + 5 = 34. Select each correct answer. A. X = 34 - 5 B. 5 = 34 - x C. X + 34 = 5 D. X = 34 + 5

Answers

A because is adding then subtracting then diving but last of all multiple times).))/)/)/)

How do you know that 8 thousandths is less than 1 hundredth

Answers

Because the hundredths is between 10-99 and thousandths is between 100-999

Solve all these to be marked the brainlest

Answers

5. A^2 = 91
6. A = 12.2

Emma was given a system of equations to solve by graphing. Which statement correctly identifies Emma’s error?

Answers

Answer:

line one should have a y-intercept at (0,2).

Step-by-step explanation:

Answer: A

Step-by-step explanation: line one should have a y-intercept at (0,2).

4x(10-3+2) simplify expression

Answers

Answer:

20

Step-by-step explanation:

the answer is 20 use pemdas (parenthesis,exponents,multiplication,divide,add,subtract)

I WILL GIVE BRAINLIEST
6r3 + 3r3 − r2 =

Answers

Answer:

r²(9r-1)

Step-by-step explanation:

I did my work on a paper so I'm sorry i cant show you the work but i hope this helped

Answer:

r²(9r - 1)

Step-by-step explanation:

6r³ + 3r³ - r²

= 9r³ - r²

factorize by divide each by r²

= r²(9r - 1)

Arnold needs to simplify the expression below.
4.3x3+11
(8.2-0.5 x 7)- 6
Which operation should he perform first?
O 7-6
O 0.5x7
O 8.2-0.5
3 +11

Answers

I believe it should be 0.5 x 7 as that is in a bracket and you have to deal with the bracket first before dealing with numbers outside the bracket.

Answer:

0.5 x 7

Step-by-step explanation:

hope this helps

Expanded form of 7050024

Answers

Expanded Notation Form:

 7,000,000  

+ 0  

+ 50,000  

+ 0  

+ 0  

+ 20  

+ 4  

Expanded Factors Form:

 7 × 1,000,000  

+ 0 × 100,000  

+ 5 × 10,000  

+ 0 × 1,000  

+ 0 × 100  

+ 2 × 10  

+ 4 × 1  

Expanded Exponential Form:

7 × 106

+ 0 × 105

+ 5 × 104

+ 0 × 103

+ 0 × 102

+ 2 × 101

+ 4 × 100

Hope this helps? :))

Answer:7,00,000 50,000 20 4n

Step-by-step explanation:

1 A line passes through (0, 2) and has a slope of 3. Which function's graph is parallel to this line?
A. f(x) = 2
B. f(x) = 3
C. f(x) = 2x
D f(x) = 3x​

Answers

D. y=mx+b. m being slope and b being the y intercept. so the equation for the line is y=3x+2 and to be parallel your m must be the same number so D. 3x

13. A jeweller bought an engagement ring for €1200 and
sold it at a profit of 15%.
Find the sale price of the ring.​

Answers

Answer:

CP of ring = 1200

profit % = 15%

Profit amount = 15% 0f 1200 = 180

SP = 1200 + 180 = 1380

Answer:

€ 1380

Step-by-step explanation:

The jeweller bought the ring for €1200 and got a profit of 15% when he sold it. That means,

[tex] = \frac{15}{100} \times 1200 \\ = 180[/tex]

he got €180 more money (which is equivalent to 15% of the portion of the money that he originally paid for the ring).

So, the selling price (the new price of the ring) would be:

= Original price + profit

= €1200 + €180

= €1380

Find the range of the given data set.

-4, -3, -1, -1, 0, 1

Answers

Answer:

5

Step-by-step explanation:

To find the range, first order the data from least to greatest. Then subtract the smallest value from the largest value in the set.

1/5(x)( 5/1)=6/3(5/1) What is the value of the x?

Answers

Answer:

The value of x would be 10. I hope this helped :)

Answer:

10

Step-by-step explanation:

on the left side 1/5 and 5/1 time each other is 1. Which means the x is already alone. On the right 6/3 times 5/1 is 10. So x = 10.

7 x [{9+8)-(12-7)] answer

Answers

Answer:

84

Step-by-step explanation:

7×[17-5]

7×12

84

hope it will help

what is the difference between 9 - 4 1/5

Answers

Hey there!☺

[tex]Answer:\boxed{4\frac{4}{5}}[/tex]

[tex]Explanation:[/tex]

[tex]9-4\frac{1}{5}[/tex]

Subtract the whole number by the fraction.

[tex]\frac{24}{5}[/tex]

24/5 needs to be simplified so we will rewrite it like this:

[tex]4\frac{4}{5}[/tex]

Hope this helps!

Solve for x : 3xyz= P

Answers

Answer:

x = P/yz

Step-by-step explanation:

You just divide the left side by yz

I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?
Show Work!

Answers

Answer: 24$

multiply $12x$2 and get 24$

Step-by-step explanation: I need two tickets to the movies. Each ticket costs $12. How much do I need to purchase 2 tickets to the movies?

If each ticket costs $12 dollars you will add 12 and 12 and you get 24 dollars .

 The difference between the product of four and a number and six

Into algebraic expression

Answers

answer- 4x-6
explain- i got it right

9. Which of the following is NOT written in scientific notation? O 32.78103 O 1.272103 4.7x103 3.75x10​

Answers

Answer:

32.78103

Step-by-step explanation:

as far as I know it would be 3.278103 times whatever

Answer:

the answer is 32.78103

Step-by-step explanation:

Scientific notation is when the number is more than 1 but less than 10 and the 32 is more than 10.


In parallelogram RELA you are given that the measure of angle R = 110 degrees. Find the measure of angle A.

Answers

Answer:

May I ask why you are you doing this math in college?

Step-by-step explanation:

Other Questions
Victor receives a letter from his father. His father tells him terrible news. What is it? The formula to convert Celsius to Fahrenheit is F= 90+32. Convert 87F toCelsius. Round to the nearest degree.O A. 55CO B. 31CO c. 16CO D. 99CSUBMIT To address a falling GDP, a government may: A. raise interest rates to allow businesses to borrow more money. B. reduce the amount of money it puts into circulation. C. invest in programs in order to help people in need. D. lower interest rates to allow businesses to borrow more money. The central idea of Amy Tan's "Fish Cheeks" is... What is 12 to the 3rd power in multiplication expression standard form How many cups are in 1 liter? Which conversions show a path to the solution? Check all that apply. cups Right-arrow liters Right-arrow quarts liters Right-arrow quarts Right-arrow cups cups Right-arrow gallons Right-arrow liters liters Right-arrow gallons Right-arrow cups How might GM crops affect the environment? Select Yes if the item is an example of technology.Select No if the item is not an example of technology.hybrid carscomputerslanguagecell phonestransportation systems Which number is equal to 10 Superscript negative 3 Which of the following statement(s) are true about the atoms of any element?a) The number of protons in an atom of an element is unique to each element.b) The number of protons and neutrons in an atom of an element is unique to each elementc) A proton in an atom of one element is identical to a proton in an atom of another element.d) The number of protons in an atom of an element is the same for all elements. how does overhearing the conversation between her father and mother affect Lizabeth? 2. Which statement accurately reflects an effect of the temperaturepattern shown in the graph?(A) The Little Ice Age caused shortages of food and reduced theamount of agricultural surplus available for trade.(B) One result of the Little Ice Age was that Vikings from Scandinaviabegan raiding coasts along England and France.(C) As climates in Spain cooled, Ferdinand and Isabella financed thevoyages of Christopher Columbus in search of land for cash crops.(D) As a result of the pollution from the growth of industry in WesternEurope, temperatures began to rise as the ozone became depleted.3. A historian would most likely use the chart to research which of the Max bought two items that were both on sale one item was 10% off and one item was 20% off max says that he saved 15% althogether is he correct? Dos chicas + funny (gracioso) =El mdico + serious (serio) = T + intelligent (inteligente) =Los muchachos + young (joven) = Mi mejor amiga + tall (alto) =Los padres de ella + Cuban (cubano) =Ella + pretty (bonito) =Nosotros + good-looking (guapo) = Ellos + hard-working (trabajador) = =Yo + ? (create your own) = i cant figure this out Which statements are examples of logos? Select two options.The number of individuals who experience identity theft is up 25 percent from the previous year.It is cruel and inhumane to make people work in buildings with no air conditioners during the summer.It is our duty and responsibility to make sure that we leave the world a better place for future generations.As a neurologist, I advise people to consider taking 30-minute breaks every hour to help with work fatigue.In a new poll, it was determined that 34 percent of people on the West Coast do not watch any type of sport.hi what is the perfect score between 144 and 169 Petra is the chief executive officer of the logistics company she reviews her companys financial statement regularly when making decisions about further expansion plans how would you categories Petra The Quest for a Desk answers solve the equation X+2X-5X -6