. Denise has multiplied (2r – 3)(2r + 3) to get 4r2 – 9. After looking at her work, Hyder says her solution must be incorrect because multiplying two binomials will always produce a trinomial. Which student is correct? Explain the error to the incorrect student. HELP ME PLEASE NEED IT IN TIME THANKS.

Answer:

Answers

Answer 1

Answer:

The answer is 4r² – 9

Denise answer is correct.

Step-by-step explanation:

One of the methods of solving the given equation [(2r – 3)(2r + 3)] is the FOIL method

Using the FOIL method (Used for multiplying binomials)

F stands for first

O stands for outer

I stands for inner

L stands for last

In this method, it means we will first multiply the first terms followed by multiplying the outer term, then multiplying the inner terms and finally, the last terms.

So, for the equation  (2r – 3)(2r + 3)

First : (2r)(2r) = 4r²

Outer : (2r)(+3) = 6r

Inner : (–3)(2r) =  – 6r

Last :  (–3)(+3) =  – 9

Adding the results we get

4r² + 6r – 6r – 9 (+6r and – 6r cancels out)

= 4r² – 9

∴ (2r – 3)(2r + 3) = 4r² – 9

Hence, Denise answer is correct


Related Questions

A camping ground began with 240 pounds of food and each day consumed about 12 pounds. After how many days did they have 180 pounds left

Answers

Answer:

5 days

Step-by-step explanation:

Set up linear equation; food= 240-12(day) f=240-12d

f(1)=240-12(1)=240-12=228

f(2)=240-12(2)=240-24=216

Now set food to equal 180, solve for days:

180=240-12d

-240  -240

-60=-12d

/-12  /-12

5=d

To check: f(5)=240-12(5)=240-60=180

If you take 240 divided by 12 = 20
Then take 180 divided by 12 = 15
Take 20-15=5 after 5 days they had 180lbs left

Mario has LaTeX: 2\frac{1}{4}2 1 4 pounds of trail mix. He puts equal amounts of the trail mix into 6 bags for a hike with his friends. If he uses all of the trail mix, how many pounds will be in each bag?

Answers

Answer:

0.375 pounds

Step-by-step explanation:

Let the amount of trail mix in each bag be x pounds. If Mario has [tex]2\frac{1}{4}[/tex] pounds of trail mix and puts equal amounts of the trail mix into 6 bags for a hike with his friends, the amount of trail mix in each bag can be derives using the expression;

[tex]2\frac{1}{4} = 6 * x[/tex]

solving for x

[tex]\dfrac{9}{4} = 6x\\\\2.25 = 6x\\\\divide\ both \ sides \ by \ 6\\\\\dfrac{2.25}{6} = \dfrac{6x}{6} \\\\x = 0.375\\[/tex]

Hence 0.375 pounds of trail mix will be in each bag

Simpify the expression. -2(y + 3) -7y

Answers

-2y-6-7y
-9y-6
I hope that this helps!

what digit in the thousands place in the decimal 5765.903

Answers

Answer: 5

Step-by-step explanation:

5765.903

going backwards-in front of the decimal -5 ( ones place) 6 (tens place) 7 ( hundreds) 5 (thousands) .

.9 ( tenths) 0 (hundredths) 3 (thousandths)

7.75 divided by 0.25 and 0.00942 divide by 0.314 pls iwant the answers and with the EXPLANATION

Answers

Answer:

7,75 chia cho 0,25 và 0,00942 chia cho 0,314=10480.47926

Step-by-step explanation:

explanation is arithmetic

when will i know when to add or when to subract

Answers

Answer:

Look below:

Step-by-step explanation:

adding is when u see 6 + 10. the plus sign ( the cross ) means to add. Subtract is using the minus sign: 6 - 10.

Answer:

You will know when to add or subtract because of keywords and symbols.

Step-by-step explanation:

Most addition and subtraction problems have keywords that tell you what operation to use. For example, so keywords that tell you that you have to add are altogether, sum, together, and a few other words. Some examples of subtraction problems are less than, and a bunch of other words.

Hope This Helps :)

Violet was carrying around the steps to solve square root of 3x plus 1 = 4. On her way through the Math Factory, Violet dropped them and they mixed with other steps. Put the correct steps in order to solve square root of 3x plus 1 = 4.

Answers

Answer:

First, square both sides (d.) leaving 3x + 1 = 16

Second, subtract 1 from both sides (a.) leaving 3x = 15

Third, divide by 3 from both sides (e.) leaving x = 5

Answer: First D, then A, then E

Step-by-step explanation:

3x9+7what is the answer

Answers

Answer:

Step-by-step explanation:

First multiply 3x9 and you get 27 and then add 7 to 27

3x9 27

27+7 34

Answer:

34 is the answer

Step-by-step explanation:

2-3x-5+9x=? Thank you to whoever gets the answer

Answers

Answer:

6x - 3

Step-by-step explanation:

Step 1: Write out expression

2 - 3x - 5 + 9x

Step 2: Combine like terms (x)

2 - 5 + 6x

Step 3: Combine like terms (constants)

-3 + 6x

Step 4: Rewrite

6x - 3

If f(x)=x-3/x and g(x) = 5x – 4, what is the domain of (f o g) (x)?

Answers

Answer:

Step-by-step explanation:

write the phrase below as an algebraic expression.


seven less than a number t

Answers

Answer:

t-7

Step-by-step explanation:

If U is between T and B. Draw and find the value of “x” and then the measure of TU. Enter TU into the answer box. ROUND TO THE NEAREST TENTH! TU = 4x, UB = 8x - 32, TB = 97 please help meee

Answers

Please help me too this hard

-3(2x - 7) + 4x = 15
solve for c

Answers

Answer:

x=3

Step-by-step explanation:

-6x+21+4x=15

-2x+21=15

-2x=15-21

-2x=-6/2

x=3

the sum of a number x and 10 ​

Answers

Answer:

x + 10

Step-by-step explanation:

x and 10 are not the same

The sum of the numbers x and 10 is ( x + 10 ).

What is summation?

The process of increment of any number of quantities or the process of integrating small parts to make a big part is called summation.

The given numbers are x and 10. The sum of the given numbers x and 10 is calculated as:-

Sum = x + 10

Hence, the sum is ( x + 10 ).

To know more about summation follow

brainly.com/question/542712

#SPJ2

1A) When f(n) = 12, what is the value of n?

Answers

Answer:

Can't answer this

Step-by-step explanation:

For this question, I think you need to read more informations, find out the function

After you find out the function,

Replace f(x) as 12 and replace x with n

After that, try to solve it.

Good luck.

evaluate the expression. 5^2. what is the value of the expression?​

Answers

Answer:

25

Step-by-step explanation:

Any numbers to the 2nd powered are always squared. Whenever you are given an exponent, the base is the number that you multiply, and the power is one more than how many times you multiply the base number together. In this case, you multiply five by itself once to get 25 as your answer.

5^2 is the same thing as saying 5•5 there for 5^2 equals 25

Write an expression that represents each statement.
The total cost of my cell-phone bill for the 1st month, if lam charged a standard
of $50 plus.50 cents for each channel that I have in my package.

Answers

50+.50x (x with the .50 is the variable, because the amount of channels you have is currently unknown.)

4 square root of 18 simplified

Answers

Answer:

[tex]\sqrt{288}[/tex]

Step-by-step explanation:

What we have here is a radical: [tex]4\sqrt{18}[/tex].

Radicals can be made by dividing a number into a perfect square and a number, then taking the square root of the perfect square and putting it outside the square root symbol.

This means that the number here will be [tex]18\cdot(4^2)[/tex]

[tex]4^2 = 16\\\\16\cdot18=288[/tex]

Hope this helped!

the simplified answer would be 12 square root 2

A rental company charges $40 a day and 30 cents a mile for renting a truck. Michael rents a truck for 5 days, and his bill comes to $314. How many miles did he drive?

Answers

40 x 5 = 200

314 - 200 = 114

114 / 0.3 = 380

So, he drove 380 miles.

Sorry if I misunderstood

Please give brainliest

Have a good day :)

Part 1
Using technology or other resources, research the average distance that each planet is from the Sun
(in kilometers). Once you have found the distance, create a chart showing each planet's distance
from the Sun. The Sun itself will not receive a label since it is your starting point. For example,
Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be
labeled with a distance of 57,909,000. Use the chart below to record your answers:(Add rows if
necessary)

Answers

Answer:

Using technology or other resources, research the average distance that each planet is from the Sun (in kilometers). Once you have found the distance, create a chart showing each planet's distance from the Sun. The Sun itself will not receive a label since it is your starting point. For example, Mercury is located an average of 57,909,000 km from the Sun, so on the chart, Mercury would be labeled with a distance of 57,909,000. Use the example of the chart below to help you get started:

Planet Distance from Sun (in Km) Distance in scientific notation

Mercury 57,909,000  5.7909 X10^7

Venus 108.212.290.56  1.0821229056 X10^8

Earth  149,604,618.24  1.4960461824 X10^8

Mars  227,936,640  2.2793664 X10^8

Jupiter  778,412,020  7.7841202 X10^8

Saturn   1,433,442,700.8  1.4334427008 X10^9

Uranus  2,870,972,200  2.8709722 X10^9

Pluto  5,906,380,000  5.90638 X10^9

Step-by-step explanation:

:)

Solve the following equation 4x+4 = -3+2x+15

Answers

4x+4=-3+2x+15

Step 1: combine like terms

4x-2x=15-3-4
2x=8

Step 2: divide by 2 on both sides

x=4
Answer:

x = 4

Step-by-step explanation:

4x + 4 = -3 + 2x + 15

4x - 2x = 15 - 3 - 4

2x = 8

x = 8 : 2

x = 4

[Giving Brainliest] What is [tex]2x+1[/tex]

Answers

Answer:

2x+1

Step-by-step explanation:

There is no way to simplify or solve any further.  It's not even an equation, it's an expression.

if f(x) = –2x – 5 and g(x) = -x + 7
find 9(f(-2))

Answers

Answer:

9(f(-2))= -9

Step-by-step explanation:

to find the answer you first have to find f(-2)

f(-2)=-2(-2)-5

which is: 4-5=-1

then you multiply your answer by 9, which equals -9

can i get brainliest, please? i only need 2 more

SOMEONE HELP PLEASE! 40 POINTS!!!! Answer these questions: 1. The relation {(-1, 4), (2, 7), (3, 7)} is a function. True False 2. The function {(1, 4), (2, 5), (3, 6)} has the function rule y = 3 x + 1. True False 3. What is the value of the 11th term in the sequence -3, -6, -12, -24, ...? -6,144 -118,098 -3,072 -354,294 4. All of the following statements describe the relation shown except _____. The diagram represents a function. The inputs are {-1, 0, 3, 4}. The outputs are {-2, -1, 1}. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}. 5. What is the function rule represented by the following table? x y 0 3 1 -1 2 -5 y = -2 x + 1 y = -3 x y = -2 x - 1 y = -4 x + 3

Answers

Answer:

1. True

2. False

3.-48

4. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}

5. can you please put the points in parentheses becasue I cannot tell which pair is which. If you rephrase it I will comment the anwer

Step-by-step explanation:

Answer:

1. True

2. False

3.-48

4. This relation could also be represented as {(-1, 1), (0, -2), (3, 1), (4, -1)}

Step-by-step explanation:

What number is ten times greater than 10?

Answers

Answer:

100

Step-by-step explanation:

Multiply 10 by 10

Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest​ tenth, what is the total length of Mr. Drew wants to build a square sandbox for his children. The area of the sandbox will be 104 ft2. To the nearest​ tenth, what is the total length of wood Mr.drew needs to make the sides of the sandbox

Answers

Answer:

26 ft.2

Step-by-step explanation

Divide 104 by 4 because the sandbox is a square. With a square all sides are equal length, so you just divide by the amount of sides.

Hope this helps. :)

HELP ME PLZZZZZZZZ HELP

Answers

Answer:

Step-by-step explanation:

Bob's deal : 11/10= 1.1 dollars per bagel

Danny's bagel=3/4=0.75 dollars per bagel

Danny's deal is better the price is lower

2- fraction : 11/10>3/4

1.1>0.75 the lower the price the better

3- Danny's deal is better because the price of 10 bagels=7.5 dollars

find the number whose 5 by 7 is 125​

Answers

Answer:

175 is the correct answer

Step-by-step explanation:

175*5/7=125

On the previous problem, you found a unit rate of ounces per box. Explain how you find a unit rate when given a rate.

Answers

divide the numerator and the denominator of the given rate by the denominator of the given rate. so in this case, divide the numerator and denominator of 70/5 by 5 to get 14/1 or 14 students per class

1/2 the hole power -5​

Answers

Step-by-step explanation:

[tex](\frac{1}{2} ) {}^{ - 5} [/tex]

[tex] \frac{1 {}^{ - 5} }{ {2}^{ - 5} } [/tex]

[tex] \frac{1}{ \frac{1}{32} } [/tex]

[tex] \frac{1}{1} \times \frac{32}{1} [/tex]

[tex]32[/tex]

Other Questions
help help help help help help help help help help please determine the quotient of 1 2/3 4/5 Read the passage from A Raisin in the Sun.BENEATHA (laughingly noticing what her mother is doing): Mama, what are you doing?MAMA: Fixing my plant so it won't get hurt none on the way . . .BENEATHA: Mama, you going to take that to the new house? MAMA: Un-huhBENEATHA: That raggedy-looking old thing?MAMA (stopping and looking at her): It expresses ME!RUTH (with delight, to BENEATHA): So there, Miss Thing!How would the tone change if the word hideous replaced the word raggedy?Beneatha would be showing anger instead of expressing her sadness about the plant.Beneatha would be telling a hilarious joke instead of making a mildly humorous comment.Beneatha would be telling the truth to her mother instead of sparing her feelings.Beneatha would be harshly criticizing her mother instead of gently teasing her. A basketball court is shaped like a rectangle 20 meters long and 10 meterwide? What is the area of the court? pls help ASAPWhich number is missing from the prime factorization of 348?2 x ____ x 3 x 29A. 2B. 3C. 5D. 7 A balloon is filled with 2.00 L of helium gas at sea level, 1.00 atm and 12.0C. The balloon is released and it rises to an altitude of 30,000 ft. If the pressure at this altitude is 0.300 atm and the temperature is -55.0C, what is the volume of the balloon? Point B lies on segment AC . Find the length of segment BC if AB = 4 mm and AC = 4 cm. Match the social studies with the area of investigationPhilosophyPsychology SociologyGeographyEconomicsAnthropologyDefinitions:Peoples origin and ancient cultureDistribution of products and servicesLocation of landforms and natural resources of the earthPersonal opinion of origin and conduct of lifeBehavior dealing with the mind, will , and emotionsEffects and relationships of communities Rita bakes pies at The Corner Bakery. The number of pies she can bake, x, is limited by the ingredientsthey have in stock. This situation is represented by the compound inequality 2x - 3 < 7 and 5 - x < 8.Solve the compound inequality and select all the viable solutions.-2 pies2 pies1 pieO pies-1 pies-3 pies5 pies6 pies4 pies3 pies what is the most important source of american unity Which term has a coefficient of 1? 2. Fear is an example ofconflict.a. internalb. external 4.75 lbs what is the amount in grams A designer found the area of a wall to be 5.0 square yards. What is the area of the wall in square meters?hhhshxhxhd Solve 10-13 find each measurement True or False: when steam condenses into a liquid, heat is given off to the environment. in photosynthesis, what three things enter from outside the plant? Convert 1.9647 to a percent. A condition in which brain impulses are disturbed and that causes symptoms ranging from loss of consciousness to violent seizures is Which number is rational?Which number(s) below belong to the solution set of the inequality? Check all that apply. x + 6 < 38 A. 31 B. 26 C. 88 D. 44 E. 32 F. 70