(Constructed Response) Determine whether the binomial, 9x² - 49, is a difference of
two squares. If so, factor it. If not, explain why.

Answers

Answer 1

Answer: It is a difference of two squares, and it factors to (3x-7)(3x+7)

=============================================================

Explanation:

We can write the 9x^2 as (3x)^2 since

(3x)^2 = (3x)*(3x) = (3*3)*(x*x) = 9x^2

The 49 can be written as 7^2 because 7^2 = 7*7 = 49.

This means 9x^2 - 49 is the same as (3x)^2 - 7^2. We have a difference of two squares.

The difference of squares factoring rule is

a^2 - b^2 = (a-b)(a+b)

which we have a = 3x and b = 7 in this case

So,

a^2 - b^2 = (a-b)(a+b)

(3x)^2 - 7^2 = (3x-7)(3x+7)

9x^2 - 49 = (3x-7)(3x+7)

Side note: This is the same as (3x+7)(3x-7). We can multiply two numbers in any order.


Related Questions

HELP PLS!! BRAINLIEST

Answers

Answer:

50 degrees

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

angle l is 50 degrees i belive

Step-by-step explanation:

A figure has vertices at points (0,3),(6,3), and (3,6)what polygon is made

Answers

Answer:

The polygon that is made is a triangle

Step-by-step explanation:

a = 10, b = 24, c = _____

Answers

Answer:

c=26

Step-by-step explanation:

By using pythagoram thoerem

c^2=a^2+b^2

c^2=(10)^2+(24)^2

c^2=100+576

c^2=676

c=sqrt(676)

c=26

c=26

Please show steps to this problem

Answers

Answer:

Answer is D. 1572 square units.

Use the given information to find the new price. Round to the nearest cent.

Original Price: $28
Discount Rate: 28%

Answers

Answer:

Step-by-step explanation:

7.84 = 8.

Answer:

Original Price: $28

Discount Rate: 28%

new price=?

we have

discount:

28% of 0riginal Price=28/100×$28=$7.84

now

new Price=original -discount price=$28-7.84=$20.16 is your answer

Q1 (Describe the two eukaryotic animal cell organelles that have roles similar to the organs of the human digestive system)Q2(Describe how proteins are made packaged and transported within the cell) plz help fast

Answers

Step-by-step explanation:

Ans 1

Two eukaryotic animal cell organelles that have roles similar to the organs of the human digestive system are lysosome and mitochondria. ... Mitochondria is like the small intestine, it is responsible for converting the food we eat into nutrients and minerals needed for the cell

Ans2

The Golgi processes proteins made by the endoplasmic reticulum (ER) before sending them out to the cell. ... Proteins must make their way through the stack of intervening cisternae and along the way become modified and packaged for transport to various locations within the cell (Figure 1).

Enter a phrase for the expression

Answers

Answer:

The quotient of x and 11.

Step-by-step explanation:

Given:

[tex] \frac{x}{11} [/tex]

Required:

Write the expression in words

Solution:

In the expression given, we have the numerator which is the dividend (x), and the denominator which is the divisor (8).

So, we are dividing x into 8 parts.

A quotient is the result you get when you divide the dividend by the divisor.

✅In describing the expression in words, we would use the following phrase:

The quotient of x and 11.

The dividend is mentioned first before the dividend.

help please need asap

Answers

Answer:

4.5

Step-by-step explanation:

4 * 1.5 = 6

3* 1.5 = 4.5

1.5=4.5
1.5=6
I think

Please help this is important

Answers

Answer:

First blank - SSS congruent condition

Second blank - Congruent

Answer: This looks famiiar to me btw which school do u go to? :)

Help me please ASAP Please please

Answers

Answer:

$31.23

Step-by-step explanation:

104.1% x 30 = 31.23

$31.23 is your answer for this question

Please help I’ll mark you as brainliest if correct

Answers

Answer:

Option 4 is correct

x° + 126° = 180° and value of x is 54°

Step-by-step explanation:

Here, In a given Triangle two sides are equal i.e., Isosceles Triangle.

We know that, in a triangle the sum of all angles Is 180°.

If two sides are equal then also two angles are also equal of that sides.

Now,

63° + 63° + x° = 180°

x° + 126° = 180°

Now, To find the value of x

x° + 126° = 180°

x° = 180° - 126°

x = 54°

Thus, The value of x is 54°

FOR VERIFICATION ONLY:-

x° + 126° = 180°

54° + 126° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

the value x is 54

I am sure

The double number line shows how far a hummingbird can fly in 1 second.

Answers

Answer:

1st box-1

2nd box-3

3rd box-130

Step-by-step explanation:

On the number line, 13 metres is in line with 1 second. So, that means the hummingbird flies 13m/s.

Then to work out the second box, for how much time it takes to travel 39 metres, you would have to do 39÷13=3. This means that in 3 seconds, the hummingbird flies 39 metres in 3 seconds.

To work out how many metres the hummingbird flies in 10 seconds, you would have to do 13×10=130. The reason why you times 13 by 10 is because the hummingbird does 13 metres in 1 second, but we want 10 seconds, so we times it.

Hope this helps :)

Answer:

1st box-1

2nd box-3

3rd box-130

Step-by-step explanation:

the other person gets the credit he did it before me

I need help solving this equation 7/(x+1)-3/2=8/3x+3

Answers

Answer:

5/16,-3

Step-by-step explanation:

I didn't actually solve this by myself, I used this website to solve this.

help?? i will mark the correct answer brainlest!!

Answers

Answer: 13 is the first one and the second one is 15

Step-by-step explanation:

Consider the equation x2 = 36. Which of the statements below are true? Select all that apply.
x= v6 is a solution.
x = 6 is a solution.
x = -6 is a solution.
x = -6 is a solution.
There is no solution.
The solution is all real numbers.​

Answers

+6, -6

Step-by-step explanation:

if the equation is x^2 = 36 then the solving for x we get the square root of 36 which is positive or negative 6

Answer the question

Answers

Answer:

D

Step-by-step explanation:

demos

roads diverge at an angle of 70 degree. aurea walks on the first road at 4kph while marcelino on the other road at 5 kph. both start walking at the diversion point. how far are they after 3 hours?

Answers

Answer:

ggyfuae5iyrsi6rs6esyleslysyrslur

Convert the complex number from polar to rectangular form
z=cis(7pi/6)

Answers

3809 3.14 x
135 26x

A school has a population of 2500 students. The number of students is increasing at continuous growth rate of 4.5% each year. Which of the following
formulas models the population of this school?
A. A = 2500e ^-0.045t
B. A = 2500e^4.5t
C. A = 2500e^0.045t
D. A = 25000e^450

Answers

Answer:

C

Step-by-step explanation:

Dart Game Results
20
18
Rami works at a carnival dart game where groups of
people try to pop balloons taped to a wall by throwing
darts. He records the number of people in each group
and the total number of balloons they pop. This graph
represents Rami's data.
How many balloons did the group of 5 people pop?
16
14
12
Number of balloons popped
Enter your answer in the box.
4
balloons
2
0 1
2
3
4
5
9
10
6 7 8
Number of people

Answers

How many balloons did the group of 5 people pop?
Answer: 12

I hope I helped. Brainliest would be appreciated, but you don’t have to give me Brainliest if you don’t want to.

please help me i really need help please please please

Answers

Answer: ≈117.15375m (if you're expected to round make sure you do so!)

Explanation: Because this a right triangle, you can apply the pythagorean theorem which is a^2 + b^2 = c^2. a and b can be any side except the hypotenuse (the one across from the 90° angle). You take 90^2 + 75^2 = c^2. This equals 13,725 after that you can take the square root of it and you're left with ≈ 117.15375m

Hope this helped! :)

The garden staff can mow 45 lawns in 10 hours at this rate how many lawns can they mow in 6 hours

Answers

Answer:

b

Step-by-step explanation:

Answer:

27 lawns.

Step-by-step explanation:

45÷10

4.5

So every hour they mow 4.5 lawns.

Now do 4.5 • 6

So 27 lawns

Hope this helps

solve for the equation
5= g/8
g=? g equals

Answers

STEP BY STEP BREAK DOWN.

rewrite the equation to g/8=5

multiply both sides by 8

cancel the common factors (cancel both 8s)

rewrite g=8 x 5

solve 8 x 5 (equals 40)

g=40

Two methods, A and B, are available for teaching a certain industrial skill. The failure rate is 30% for method A and 10% for method B. Method B is more expensive, however, and hence is used only 20% of the time. (Method A is used the other 80% of the time.) A worker is taught the skill by one of the two methods, but he fails to learn it correctly. What is the probability that he was taught by using method A

Answers

Answer:

Probability that he was taught by using method A is 14/17

Step-by-step explanation:

Following probabilities are given -  

P (F|A) = 0.2

P (F|B) = 0.1

P (A) = 0.7

P (B) = 0.3

Now, P(A|F) = { P (F|A)* P(A)}/{{ P (F|A)* P(A)} + P (F|B)* P(B)}}

P(A|F) = (0.2*0.7)/( (0.2*0.7)+(0.1*0.3)) = 14/17

Burger town sells cheeseburgers for $7.95 each plus an additional $1.00 for each extra toppings, t. Which of the following equation best represents the cost, c, of a

Answers

Answer: $7.95+$1t ?

Step-by-step explanation:

Answer:

I assume the answer would be the burger plus toppings is equal to cost so

7.95+t*1.00=c

I NEED HELP WITH THIS QUESTION!!!!

Answers

9514 1404 393

Answer:

  see attached

  (x, y) = (8, 4)

Step-by-step explanation:

The relations given in the problem statement let you write two equations. One for the number of shots, and one for the number of points. The variables x and y are defined in the problem statement.

  x + y = 12 . . . . . total number of shots

  x + 2y = 16 . . . . total number of points

__

These equations are easily plotted by considering their x- and y-intercepts. The x-intercepts of the equations are found when y=0, so are 12 and 16, respectively.

The y-intercepts are found when x=0, so are 12 and 8, respectively. The two lines are shown in the attached. The first is blue; the second is red. Their point of intersection at (x, y) = (8, 4) is circled.

the number of free throws Angel made was 8the number of 2-point shots Angel made was 4

Answer:

the answer is (x, y) = (8, 4)

Use f(x)=-2x+5 to find x when f(x)=11

Answers

When it asks this question, ultimately you want to plug 11 into x because its f(x). 11=-2+5.

Then you subtract 5 on both sides because of the opposite of addition is subtraction.

6=-2x

now divide on both sides

x=-3

The refrigerator part of a refrigerator freezer has a volume of 27 cubic feet. The freezer part is 2 feet high 2 feet deep and 3 feet wide What is the total volume of the refrigerator freezer

PLS HELP

Answers

Answer:

39 cubic feet

Step-by-step explanation:

The volume of the freezer part:

2*2*3 = 12 cubic feet

Total volume is:

27 + 12 = 39 cubic feet

Two forces of 401 newtons and 477 newtons act on a point. The resultant force is 828 newtons. Find the
angle between the two forces.

The angle between the two forces is ____°

(Round to the nearest integer as needed.)

Answers

Answer:

The answer is "[tex]39.01^{\circ}[/tex]"

Step-by-step explanation:

[tex]\to R= 828\\\\\to F_1= 401\\\\\to F_2=477\\\\\to \bold{R=\sqrt{F_1^2+F_2^2+2F_1F_2 \cos \theta}}[/tex]

[tex]828=\sqrt{401^2+477^2+2 \times 401 \times 477 \cos \theta}\\\\828=\sqrt{160801+227529+382554 \cos \theta}\\\\828=\sqrt{388330+382554 \cos \theta}\\\\[/tex]

square the above equation:

[tex](828)^2=(\sqrt{388330+382554 \cos \theta})^2\\\\[/tex]

[tex]685584 =388330+382554 \cos \theta\\\\685584 -388330=382554 \cos \theta\\\\297254=382554 \cos \theta\\\\\cos \theta=\frac{297254}{382554}\\\\\cos \theta=0.777025\\\\\theta= \cos^{-1} 0.777025\\\\\theta= 39.01^{\circ}[/tex]

Please help quickly what's the answer Ill give u brainlest
Richard deposits $193.67 every month into his mortgage. At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?

Answers

Answer:

$50,460.87 of interest has been accrued.

Step-by-step explanation:

Richard deposits $193.67 every month into his mortgage.

Each year as 12 months. So after 30 years he will have deposited:

$193.67*12*30 = $69,721.2

At the end of 30 years, he has a balance of $120,182.07. What interest has accrued (been earned) over 30 years?

Interest is total subtracted by deposits. So

120,182.07 - 69,721.2 = $50,460.87

$50,460.87 of interest has been accrued.

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Three miles below St. Petersburg, at a point where the Mississippi River was a trifle over a mile wide, there was a long, narrow, wooded island, with a shallow bar at the head of it, and this offered well as a rendezvous. It was not inhabited; it lay far over toward the further shore, abreast a dense and almost wholly unpeopled forest. So Jackson's Island was chosen. Who were to be the subjects of their piracies was a matter that did not occur to them.Question:Which best compares and contrasts these two passages featuring the Mississippi River?A. Both of these passages tell rollicking tales of adventure and friendship along with muddy waters of the Mississippi.B. Both of these passages provide valuable economic information about how the Mississippi has been a valued American resource.C. One passage provides objective economic data about the river, while the other tells the story of two boys adventuring on its waters.D. 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