What is special about the factored form of answer N-16x2 - 1?

Answers

Answer 1

Answer:

Both 16 and 1 are squares. This suggests using the formula for the difference of squares. Answer link.

Step-by-step explanation:

Every time you have a difference in the format of

A2−B2 you can factor as (A−B)(A+B).

Then you have to identify if your quantity is the difference of two squared quantities.

It is. In fact we can write it as:

16x2−1=(4x)2−12

Then we can apply our rule

[tex] {(4x)}^{2} - {1}^{2} = (4x - 1)(4x + 1)[/tex]


Related Questions

Evaluate: 4.5p + 8.2n when p=6 and n=5.

Answers

Answer:

68

Step-by-step explanation:

4.5p + 8.2n when p=6 and n=5

Subsitute for p and n

4.5(6) + 8.2(5)

Multiply

27 + 41

add

68

A kite is flying 78 ft off the ground, and its string is pulled taut. The angle of elevation of the kite is 41°. Find the length of the string. Round your answer to the
nearest tenth.
PLZ HELP BEEN STUCK FOR A HOUR!!!

Answers

Answer:

Length of kite string = 118.9 feet (Approx.)

Step-by-step explanation:

Given:

Height of kite = 78 feet

Angle of elevation = 41°

Find;

Length of kite string

Computation:

Height of kite = Perpendicular

Length of kite string = Hypotenuse

Using trigonometry function;

Sinθ = Perpendicular / Hypotenuse

Sin 41 = Height of kite / Length of kite string

0.656 = 78 / Length of kite string

Length of kite string = 78 / 0.656

Length of kite string = 118.9 feet (Approx.)

help with the questions below!

Answers

Answer:

b

Step-by-step explanation:

Two angles are complementary. If one angle measures 48°, what is the measure of the other angle?

a
42°

b
48°

c
132°

d
52°

Answers

Answer:

A

Step-by-step explanation:

The sum of two complementary angles is 90 degrees

x + 48 = 90

x = 90 -48

x = 42 degrees

C it is 132 degrees due to the amount of angle

A triangle in the coordinate plane has vertices of (2,6).(-4,-4), and (0,-6). The triangle is dilated with a scale factor of 2. What are the new coordinates?
(1,3), (-2,-2), and (0, -3)
(4,12).(-8, -8), and (0, -12)

(0,4),(-6, -6), and (-2,-8)
(4,8).(-2,-2), and (2,-4)

Answers

Answer:

To solve this problem you have to multiply all of the coordinates by 2

So your answers are

(2,6) ---> (4,12)

(-4,-4) ---> (-8,-8)

(0,-6) ---> (0,-12)

Could you please make brainly :)

Hope this helps ;)

Step-by-step explanation:

4 1⁄10 ÷ 1 1⁄2 plsss answerr now ..thankyou

Answers

Answer:

2 11/15

Step-by-step explanation:

Answer:

41/15

Step-by-step explanation:

[tex]4\frac{1}{10}[/tex] ÷[tex]1\frac{1}{2}[/tex]

first convert mixed fraction into or improper fractions.

=4*10+1/10 ÷ 1*2+1/2

=41/10 ÷ 3/2

convert division sign to multiplication and do the reciprocal.

=41/10 * 2/3

=41*2/10*3

=82/30

=41/15

Noah says that 2^4 • 3^2 = 6^6.
Tyler says that 2^4 • 4^2 = 16^2
Do you agree with Noah? Explain or show your reasoning.
Do you agree with Tyler? Explain or show your reasoning.

Answers

Answer: 5/6

Step-by-step explanation:

What is the volume of the square pyramid? Enter in the box ___m^3

Answers

Answer:

V = 400 m^3

Step-by-step explanation:

The volume of a square pyramid is

V = 1/3 Bh where B is the area of the base and h is the height

B = 10 *10 = 50

V = 1/3 (100)* 12

V = 400 m^3

Every tenth customer to Macy's end of the season sale gets a $10
coupon. Every twenty-fifth customer gets a free gift bag. Which customer
will be the first one to get both the $10 off coupon and the gift bag?

Answers

Answer:

50th

Step-by-step explanation:

10 multiply by 5 is 50

And 25 multiply by 2 is 50

50 is the first to appear on both sides

There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 of the same colour?

Answers

Answer:

The probability of getting two of the same color is 61/121 or about 50.41%.

Step-by-step explanation:

The bag is filled with five blue marbles and six red marbles.

And we want to find the probability of getting two of the same color.

If we're getting two of the same color, this means that we are either getting Red - Red or Blue - Blue.

In other words, we can find the independent probability of each case and add the probabilities together*.

The probability of getting a red marble first is:

[tex]\displaystyle P\left(\text{Red}\right)=\frac{6}{11}[/tex]

Since the marble is replaced, the probability of getting another red is: [tex]\displaystyle P\left(\text{Red, Red}\right)=\frac{6}{11}\cdot \frac{6}{11}=\frac{36}{121}[/tex]

The probability of getting a blue marble first is:

[tex]\displaystyle P\left(\text{Blue}\right)=\frac{5}{11}[/tex]

And the probability of getting another blue is:

[tex]\displaystyle P\left(\text{Blue, Blue}\right)=\frac{5}{11}\cdot \frac{5}{11}=\frac{25}{121}[/tex]

So, the probability of getting two of the same color is:

[tex]\displaystyle P(\text{Same})=\frac{36}{121}+\frac{25}{121}=\frac{61}{121}\approx50.41\%[/tex]

*Note:

We can only add the probabilities together because the event is mutually exclusive. That is, a red marble is a red marble and a blue marble is a blue marble: a marble cannot be both red and blue simultaneously.

what is 94.2 and 87 averaged out

Answers

Answer: 90.5

Step-by-step explanation:

Answer:

90.6

Step-by-step explanation:

If you mean "what is the average of 94.2 and 87," that is found as follows:

 94.2 + 87

------------------ = 90.6

          2

We say, "the average" (or "the mean") of 94.2 and 87 is 90.6."  90.6 lies exactly halfway between 87 and 94.2.

Someone Help if they can ASAP!

Answers

Answer:

The answer is D.

Step-by-step explanation:

Since (4x+20) and 60 are vertically opposite angles. They both are equal. Hope this helped!

Người ta dự định chuyển 78452 lít dầu từ kho A sang kho B Trong 4 ngày đầu mỗi ngày chuyển được 18214 lít dầu hỏi còn phải chuyển bao nhiêu lít dầu nữa

Answers

Answer:

5596 liters  of oil still need to be transferred.

Step-by-step explanation:

Total oil = 78452 liters

oil transferred each day for 4 days = 18214 liters

The amount of oil transferred in 4 days = 4 x 18214 = 72856 liters

The mount of oil left in ware house A

= 78452 - 72856

= 5596 liters  

Please someone help me if you can't that is okay but please try I am extremely desperate

Answers

A, you combine like terms

Answer:

A

Step-by-step explanation:

2x + x = 3x

y - 3y = 2y

Arrange the functions in ascending order, starting with the function that eventually has the least value and ending with the function that eventually has the greatest value.

3x + 8

4x + 3

x2 + 6

3x

4x

x2














Answers

Answer:

3x < 4x < 3x + 8  < 4x + 3 < x² < x² + 6

Step-by-step explanation:

This is because as x → ∞

3x → 3∞ ,

Also, as x → ∞

4x → 4∞ ,

Also, as x → ∞

3x + 8  → 3∞ + 8,

Also, as x → ∞

4x + 3 → 4∞ + 3 ,

Also, as x → ∞

x² → ∞²,

Also, as x → ∞

x² + 6 → ∞² + 6

and 3∞ < 4∞ < 3∞ + 8 < 4∞  + 3 < ∞² < ∞² + 6

Thus as x → ∞

3x < 4x < 3x + 8  < 4x + 3 < x² < x² + 6 in ascending order

Answer:

i am not 100% sure but i think it is

3x < 3x + 8 < 4^x < 4^x + 3 < x^2 < x^2 + 6

Step-by-step explanation:

I just got this because one of the other answers said replace x with infinite.  Their answer would have been wrong because the actual question is supposed to be 4^x and 4^x + 3 which is different than just 4x and 4x + 3. :)

Please help I need the answer right

Answers

Answer:

B) 4 inches

Step-by-step explanation:

Since ABC is congruent to EFG then AB is congruent to EF, and BC is congruent to FG.

BC = 4 in

FG = 4 in

Write the number 10 000 000 as a power of 10.

Answers

Answer:

10⁷

Step-by-step explanation:

Just count the number of zero and raise the counted number of zero.

Select the rule for each piece. Rule for piece 1: Rule for piece 2:

Answers

Answer:

Rule for piece 1: y=-x

Rule for piece 2: y=1

Rule for piece 3: y = 2-x

Step-by-step explanation:

PLEASE PLEASE PLEASE HELP ME


EXPLAINING YOUR ANSWER WILL GIVE YOU BRAINLIEST


I REALLY NEED HELP AND ACCURATE ANSWERS

Answers

Answer:

the area of sector is

[tex] \frac{126}{360} \times \pi \times ( \frac{16}{2} ) {}^{2} = \frac{112}{5} \pi[/tex]

Answer:

Step-by-step explanation:

126/360 × pi× radius²= Area of the sector

What is the value of x?

Answers

Answer:

Solution given:

sin 47=opposite/hypotenuse

Sin 47=x/18

x=sin47*18

x=13.16ft

Answer:

ammaamakamamMN8181(18736

Step-by-step explanation:

88271(1(1+1+382(2(#!#

How many quarters are there in 5 and 3/4

Answers

Answer:

23

Each 1 has 4 quarters

5*4=20

20+3

23

Step-by-step explanation:

please help with this !!!!

Answers

Answer:

0

Step-by-step explanation:

this is just to confuse us.

"t" is used instead of "x" (probably because the formula has something to do with "time"). but it does not matter.

and 3 different functional definitions have been given based on the value of the argument "t".

we need the functional value for t=2.

is 2 = 8 ? no. therefore the first definition does not apply.

is 2 = 10 ? no. therefore the second definition does not apply either.

is 2 unequal to 8 or 10 ? yes, 2 is 2 and not 8 and not 10.

so, the third definition applies :

f(2) = 2² - 3×2 + 2 = 4 - 6 + 2 = 0

Al vender una refrigeradora, gané s/. 580. Si después de la venta gasté s/. 1 260 y me queda s/. 480, ¿Cuánto costó la refrigeradora?

Answers

Answer:

english plz

Step-by-step explanation:

What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …

Answers

Answer:

y = 3x -7?

Step-by-step explanation:

started from 7 and going infinite

A water tank is in the shape of a cylinder with a diameter of 20 feet and a height of 20 feet. The tank is 70% full. About how many gallons of water are in the tank?

Answers

Answer:

32901 gallons

Step-by-step explanation:

First, we find the volume of the cylindrical water tank when it is full.

The volume of a cylinder is given as:

V =

where r = radius and h = height of the cylinder

The diameter of the tank is 20 feet, hence, its radius is 10 feet.

Volume, V, is therefore:

V =

This is the volume of the tank, when it is full.

When it is 70% full, the volume will be:

1 cubic foot () is 7.48 gallons.

Therefore, the volume of the 70% full tank in gallons will be:

4398.23 * 7.48 = 32901.05 gallons ≅ 32901 gallons

The tank contains 32901 gallons of water.

Answer:

approximately 32,900 gallons

Step-by-step explanation:

volume water in tank

v = πr²h * .70

v = π * 10² * 20 * .70

v = 4,398.2297150257 ft³

1 ft³ = 7.48 gallons

gallons in tank

4,398.2297150257 * 7.48 = 32,898.7582683922

~ 32,900 gallons

Please answer this and get ez 25 points

Answers

Answer:

13. 10%

14. 43/50

Step-by-step explanation:

13. P(1000) = 5/50 × 100% = 10%

14. P(not 100) = (50-7) /50 = 43/50

1. If one leg gets longer the other leg must also
get longer in order to keep the hypotenuse the
same.
TRUE
FALSE

Answers

False because is not the same and it doesn’t make sense

Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?

Answers

Answer:

Kiera has a lower ratio of raisins to nuts. (2:5)

Step-by-step explanation:

To find this, you would have to make the number of nuts the same in each to accurately compare them.

It starts with Kiera's 2 cups of raisins and 5 cups of nuts. So it will be 2:5 (raisins first then nuts.)

Desmond will be 3:6 (have to make it the same order, raisins and then nuts.)

So I multiplied both the 2 and the 5 in 2:5 by 6 first.

Then multiply both the 3 and 6 in 3:6 by 5 to make the number of nuts the same in both.

So Kiera will have 12:30 and Desmond will have 15:30.

Then you can conclude that Kiera has the lower ratio.

Help,anyone can help me do quetion​

Answers

Answer:

B1: x = 51

C1: x = 73, y = 34

Step-by-step explanation:

B1:

By exterior angle theorem:

x° + 54° = 105°

x° = 105° - 54°

x° = 51°

x = 51

C1

x° = 73°(Alternate angles)

x = 73

y° = 34° (corresponding angles)

y = 34

I really need help on this problem ASAP please and thank you

Answers

Answer:

Step-by-step explanation:

Other Questions
Give the name (monomial, binomial,trinomial, etc.) and the degree of thepolynomial.5x3 - x2 + 2 True or False: Soil gets its nutrients from earthworms and animal waste. *TrueFalse HELP. Been wasting points because of trolls.If another troll appears then I dont know npw maybe just end this sh t and I dont have friends too so I cant copy from anyone. What is Photosyntisis??..Good night sweet dreams...!! a child when he plays likes all the light he makes and he understands them all and with them a game begins.says the bush of smiles:-Hello dear baby!The flower says stop your steps!catch us say the butterfliesI'm smooth and small, call me a pebble.Sing the swallow againI've been calling you the puppy for a long time and he comes and play with me.the wind says run fastthe apple says I will bakeThx b. The following reaction takes place in a basic solution. (7 points)MnO4(aq) + NO2(aq) MnO2(s) + NO3(aq) The half-reactions (balanced only for atoms) are the following:MnO4 + 2H2O MnO2 + 4OHNO2 + 2OH NO3 + H2OUse the following steps to finish balancing the equation. i. Balance each half-reaction for charge. (2 points) ii. Multiply each half-reaction by the correct number in order to balance charges for the two half-reactions. (2 points) iii. Add the equations and simplify to get a balanced equation. (2 points) iv. How can you tell from this equation that the reaction occurred in a basic solution? (1 point) A car starts from rest and acquires a velocity of 72 km/h in 5s. Find the distance travelled by car assume motion of car is uniform. The sixth graders at Kingston Middle School voted for their favorite sport. The results are in the circle graph below. Favorite sports 3/20 Football 1/2 Basketball 1/2 Golf Baseball 1/10 If the 180 students in sixth grade get to choose a sport to play for a special reward, how many of these students will choose basketball? Which statement about Genghis Khan is true? He was killed in battle while fighting the forces of the Song dynasty. He constructed the important east-west trade artery known as the Silk Road. He united the Mongol tribes and became known as the "ruler of all men." He was the first emperor of China who began construction of the Great Wall. If 0.3250 L of 0.125 M NaOH base were used in a titration, what were the moles of base? You buy items costing $1900 and finance the cost with a fixed installment loan for 24 months at 8% simple interest per year. 1. What is the finance charge? 2. What is your monthly payment? * Please explain how you got the answer* Solve the following equation for x: 2x 3y = 6.Ox = y + 3Ox=y-332Ox= -2y-32Ox= -x + 3 Which is the following rays? Choose all that apply A 16.4L sample of NO2(S) has a density of 1.89 g/L. What is the mass of the sample NO2(s)?A) 31.0 grams B) 14.5 grams C) 8.68 grams D) 0.115 grams A large bag contains 16 red, 48 blue, and 16 green marbles. Each student in Mrs. Wynn's class randomly selects a marble, records the color, and then puts the marble back into the bag. Mrs. Wynn then reports the total number of red, blue, and green marbles selected by the entire class.Which of these statements are true? Choose all that are correct.A.Theoretically, the probability of selecting one red marble from this bag is 0.20.B.If a student does not return his or her marble to the bag before the next student selects his or her marble, the theoretical probability of selecting a blue marble may be different for the next student.C.If there are 30 students in the class, the total number of blue marbles selected should be about 18 but may be more or less.D.It is possible that every student selects a green marble.E.If the total number of red marbles selected is not equal to the total number of green marbles selected, then there was a mistake in selecting the marbles or recording the data. Al is a senior citizen who has been experiencing more and more loss of his peripheral vision. His primary care physician recently diagnosed him with glaucoma and has sent him to see a specialist. What treatment would the specialist MOST LIKELY prescribed to receive the effects of glaucoma?a. carbonic anhydrase inhibitors that increase fluid production in the eyes to hydrate the conjunctivab. beta blockers that increase the outflow of fluids from the eye and reduce pressure between the cornea and lensc. topical antibiotics administered directly to the eyes, killing the bacteria that caused the infectiond. topical anti-inflammatory drugs that can penetrate into the eye and reduce swelling of the eye's components What are the names of the pigments that are in a plants leaves? (Choose all that apply)flavonoidsanthocyaninscarotenoidschlorophyll The social gospel movement was a response tosocial Darwinismthe increase in monopoies.O O O ODarwinis theory of evolutionthe rise of evangelical churches I NEED TO GRADUATE I NEED HELP NOW Two opposing opinions were shown to a random sample of 2,150 buyers of a particular political news app in the United States. The opinions, shown in a random order to each buyer, were as follows:Opinion A: The issue of equal pay is more important than increasing the minimum wage.Opinion B: Increasing the minimum wage is more important than the issue of equal pay.Buyers were to choose the opinion that most closely reflected their own. If they felt neutral on the topics, they were to choose a third option of "Neutral."The outcomes were as follows:50% chose Opinion A, 42% chose Opinion B, and 8% chose "Neutral."Part A: Create and interpret a 99% confidence interval for the proportion of all US buyers of this particular app who would have chosen Opinion B. (5 points)Part B: The number of buyers that chose Opinion B and the number of buyers that did not choose Opinion B are both greater than 10. Why must this inference condition be met? (5 points) Consumer protection is NOT a modern idea, McKay states. Which ancient legal document talked about this concept?