Select the correct product. (x^2+4)(x^2-4)​


1. X^4-16
2. X^4+16
3. X^2+8x+16
4. X^2-8x-16

Answers

Answer 1

Answer:

[tex] ({x}^{2} + 4 )( {x}^{2} - 4) \\ 1)( {x}^{2} - 16) \\ = (x - 4)(x + 4) \\ 2)( {x}^{2} + 16) \\ = (x - 4)(x + 4) \\ 3) {x}^{2} + 8x + 16 \\ {x}^{2} + (4 + 4)x + 16 \\ {x}^{2} + 4x + 4x + 16 \\ x(x + 4) + 4(x + 4) \\ (x + 4)(x + 4) \\ 4) {x}^{2} - 8x - 16 \\ {x}^{2} - (4 + 4)x - 16 \\ {x}^{2} - 4x + 4x - 16 \\ x(x - 4) + 4(x - 4) \\ (x - 4)(x + 4)[/tex]

Answer 2
The correct answer is 1. x^4 - 16.
It is simply a hard version of the difference between two squares

Related Questions

What is the phenomenon that many types of data analysis become significantly harder as the dimensionality of the data increases

Answers

Answer:

the curse of dimensionality

Step-by-step explanation:

the cause of dimensionality has to do with the different phenomena that comes up whenever data is to be analyzed or organized in high dimensional spaces which do not happen in low dimensional spaces. This curse can be explained simply as having error increase just as there are increases in the number of features. when the features we have is more than the observations, it could cause the model to be overfitted.

what is the volume of the square pyramid? answer i need this done for my geometry credit thank you

Answers

Answer: 171.5

Step-by-step explanation:

1/2 x 7 x 7 x7  = 171.5 cm3

Answer:

[tex]volume=1/3(area ~of ~base) \times( height)[/tex]

[tex]v=1/3(7\times7)\times7[/tex]

[tex]v=343/3[/tex]

[tex]v=114[/tex]

-----------------------

hope it helps...

have a great day!!

Kathy travels in a taxi which charges $ 5.75 flat rate in addition to $ 2.50 per mile. Kathy has only $25 in her wallet. How many miles can Kathy travel without exceeding her limit?
HELPP

Answers

Answer: 7.7 miles

Step-by-step explanation:

2.5x + 5.75 = 25 (x = each mile traveled)

2.5x = 25 - 5.75

2.5x = 19.25

x = 7.7 miles

The tables below show the values of y corresponding to different values of x: Table A x 3 3 2 y 1 0 0 Table B x 3 5 5 y −2 2 −2 Which statement is true for the tables? (1 point) Both Table A and Table B represent functions. Both Table A and Table B do not represent functions. Table A does not represent a function, but Table B represents a function. Table A represents a function, but Table B does not represent a function.

Answers

Answer:

is it possable you can show the graph

Step-by-step explanation:

Answer:

2nd option ,that is, Both tables do not represent a function.

Step-by-step explanation:

For a table to represent a function it's input value must correspond to exactly one output value.

As in Table A the input value of 3 corresponds to 2 different outputs, where

as in table B the input value of 5 corresponds to 2 different outputs.

x is taken as the input and y is taken as output for both the tables.

Therefore, Both tables dobnot represent a function.

What is the area of a cross section that is parallel to face BFGC?

Answers

Answer: 216cm2

Step-by-step explanation: 36x6

A cubical water tank can contain 1000/125 cubic meters of water. Find the length of a
side of the water tank.
2 meters 3 meters
1/2 meters
1/3 meters

Answers

Answer:

2 meters.

Step-by-step explanation:

We know that a cube of sidelength L has a volume:

V = L^3

Here, we know that the volume of water that the cube can hold is:

(1000/125) m^3

Then the volume of our cube is exactly that:

V = (1000/125) m^3

Then we have the equation:

L^3 = (1000/125) m^3

Which we can solve for L

L = ∛((1000/125) m^3 ) = (∛1000/∛125) m

Where we used that:

∛(a/b) = ∛a/∛b

Solving the cubic roots, we get:

L = (10/5) m = 2m

The length of the side of the water tank is 2 meters.

Based on the table below, what is the relationship between cups and tablespoons?

Answers

Answer:

the answer is A

Step-by-step explanation:

the number of cups is 1/16 of the number of the tablespoons


Help and explain !!!!

Answers

i believe it's y-intercept!

to be honest i was never taught why it was the y-intercept, i was just told that it was. hope this helps!

Find the midpoint of the line segment with the given endpoints.
(-4,-2) (3, 3)

Answers

Answer : - 4 + 3 = - 1

- 2 + 3 = 1

By half gives - 1/2 and 1/2

So midpoint (-1/2, 1/2)

find the shortest distance between the lines 3x+4y+10=0 and 3x+4y+20=0​

Answers

Answer:

the lines are parallel they are 10 units apart

Step-by-step explanation:

The shortest distance between these two parallel lines is 2.5

Given equations:

3x + 4y + 10 = 0 ----- (1)

3x + 4y + 20 = 0 ---- (20)

To find:

the shortest distance between the two lines

The slope  and y-intercept of the first equation is calculated as;

3x + 4y + 10 = 0

4y = -3x - 10

[tex]y = \frac{-3x}{4} - \frac{10}{4} \\\\y = \frac{-3x}{4} - \frac{5}{2}[/tex]

The slope = -³/₄ and the y-intercept = - ⁵/₂ = - 2.5

The slope  and y-intercept of the second equation is calculated as;

3x + 4y + 20 = 0

4y = -3x  - 20

[tex]y = \frac{-3x}{4} - \frac{20}{4} \\\\y = \frac{-3x}{4} - 5[/tex]

The slope = -³/₄ and the y-intercept = - 5

The two equations have the same slope = -³/₄

This shows that they are parallel with different y-intercepts

The shortest distance between the two lines is at their y-intercepts

The shortest distance between these two lines is calculated as;

[tex]distance = \sqrt{(-5 - (-2.5) )^2} \\\\distance = \sqrt{(-5+ 2.5)^2} \\\\distance = \sqrt{(-2.5)^2 } \\\\distance = \sqrt{6.25} \\\\distance = 2.5[/tex]

Thus, the shortest distance between these two parallel lines is 2.5

learn more here: https://brainly.com/question/11566480

Someone tell me where everyone is going right please !!

Answers

Answer:

A 2

B 1

C 4

D 3

Step-by-step explanation:

( ) means not including (also used for infinity)

[ ] means including

The answer choices are in interval form, showing all the possible answer choices between two numbers and if the answer choice includes or excludes a number using the () []

Explanation for A:

x < 7.8 means x won't include 7.8 since the symbol is "less than" and not "less than or equal to".

x can be anything, it just has to be less than 7.8, so the answer is:

2 (-infinity, 7.8)

Explanation for B:

x <= 7.8 means x will include 7.8 since the symbol means "less than or equal to".

x can be anything, it just has to be less than or equal to 7.8, so the answer is:

1 (-infinity, 7.8]

Explanation for C:

x >= 7.8 means x will include 7.8 since the symbol means "greater than or equal to".

x can be anything, it just has to be greater than or equal to 7.8, so the answer is:

4 [7.8, infinity)

Explanation for D:

x > 7.8 means x won't include 7.8 since the symbol means "greater than" and not "greater than or equal to".

x can be anything, it just has to be greater than 7.8, so the answer is:

3 (7.8, infinity)

Hope it helps (●'◡'●)

Answer:

A:2 B:1 C:4 D:3

Step-by-step explanation:

What is the value of x to the nearest tenth?
A) 9.2
B) 7.2
C) 4.8
D) 12.0

Answers

Answer:

B. 7.2

Step-by-step explanation:

radius=24÷2= 12

other line =19.2÷2=9.6 because line from centre bisects chord and is perpendicular to it

Therefore: X²=√ 12²-9.6² ( theorem of Pythagoras)

X=7.2

List a function that's it's own inverse

Answers

Answer: f(x) = 3/x

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

Explanation:

If g(x) is the inverse of f(x), and vice versa, then we have these two properties:

f(g(x)) = xg(f(x)) = x

Since we want to find a function that is its own inverse, we want f(x) and g(x) to be the same function.

Through trial and error, you should find that f(x) = g(x) = x fit the description.

f(x) = x

f( g(x) ) = g(x) ... replace every x with g(x)

f( g(x) ) = x

You should find that g(f(x)) = x as well.

One possible answer is f(x) = x

---------------------------

Through more trial and error, you should find that f(x) = g(x) = 1/x works as well. In fact, anything of the form f(x) = g(x) = k/x will work.

The proof can be written as follows

f(x) = k/x

f( g(x) ) = k/( g(x) )

f( g(x) ) = k/( k/x )

f( g(x) ) = (k/1) divide (k/x)

f( g(x) ) = (k/1) * (x/k)

f( g(x) ) = x

Through similar steps, you should find that g(f(x)) = x is the case also.

This proves that f(x) = k/x is its own inverse, where k is a real number constant.

Another possible answer is anything of the form f(x) = k/x

If we pick k = 3, then we get f(x) = 3/x which is the answer I wrote above.

You can pick any k value you want.

---------------------------

There may be other types of functions that have this property, but I'm blanking on what they might be.

Please help! i have no idea how to do this, all i know is it's the sine rule. it's due tomorrow so if you know how to do this please help haha

Answers

Answer:

93.2°

Step-by-step explanation:

[tex]\frac{sin(38)}{9} = \frac{sin(c)}{11}[/tex]  ... c =48.8

a =180-(38+48.8) = 93.2

What percentage of 1hour is 6munites 20seconds

Answers

Answer:

10

Step-by-step explanation:

10 percentage for this question answer

Two data sets are represented by the graphs below.


A.)Smaller range

B.) Lager median

C.)Larger mean

D.)Smaller standard deviation ​

Answers

It’s larger median one ages the graphs looks bigger

Type the correct answer in each box. Use numerals instead of words

Answers

Answer:

a) 1.73

b)1.32

Step-by-step explanation:

y = f(x) = 3^x

f(1/2) = 3^1/2 = √(3) = 1.73

f(1/4) = 3^1/4 = 1/4√3 = 1.32

What percent did the price drop

Answers

Answer:

10%

Step-by-step explanation:

You have the correct answer. Nice job!

Question 1: Use the image and your knowledge of the isosceles triangle to find the value of x

Answers

Answer:

35 degrees

Step-by-step explanation:

since both sides are equal, so are the angles involved.

Estimate the value of \frac{\sqrt{2\pi }}{\sqrt{5}}

Answers

Answer:

the exact answer is 1.98

if we rationalize denominator we get root 0f 10 times pi divided by 5

root of 10 is about 3.1 ([tex]\pi[/tex]) so we have [tex]\frac{\pi ^{2} }{5}[/tex] ≈ 9.6/5 = 1.92

Step-by-step explanation:

[tex]\frac{\sqrt{2\pi }}{\sqrt{5}} * \frac{\sqrt{5 }}{\sqrt{5}}[/tex] = [tex]\frac{\sqrt{10} \pi }{5}[/tex]

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

Solution given:

Relationship between perpendicular and hypotenuse is given by sin angle

Sin 30°=opposite/hypotenuse

½=[tex]\frac{x}{9}[/tex]

x=[tex]\frac{9}{2}[/tex]

The value of x is [tex]\frac{9}{2}[/tex]

Solve the inequality. 2 + |t + 6| < 12

Answers

Answer:

[tex]2 + (t + 6) < 12[/tex]

[tex]2 + t + 6 < 12[/tex]

[tex]t + 8 < 12[/tex]

[tex]t < 12 - 8[/tex]

[tex]t < 8[/tex]

Which function is graphed below?

algebra 2

Answers

Answer:

x=0..............................

It is an exponential decay curve.
The general form of these is y = k.a^x where 0 < a < 1 [negative values for a are much more complicated]
Some key points can be read from the graph - (0, 3) (1, 1) and less accurately (-1, 9) and (2, 1/3)
This points the the equation y = 3(1/3)^x

Help and explain pls and ty

Answers

[tex]\displaystyle\bf (3-5\sqrt{5} )-(5\sqrt{3} -3)=3+3-5\sqrt{5} -5\sqrt{3} =\boxed{6-5\sqrt{5} -5\sqrt{3} } \\\\\\\\\sqrt{5} (\sqrt{5} -2x)=\boxed{-2x\sqrt{5} +5}[/tex]

2x - y when x = 0 and y = -5

Answers

Answer:

5

Step-by-step explanation:

2x - y when x = 0 and y = -5

2(0) - (-5) =

= 0 + 5

= 5

Answer:

5

Step-by-step explanation:

2x-y

2(0)-(-5)

0-(-5)

0+5

5

Date
Prove that sintheta sec theta+costheta cosec theta=
2 cosec 2theta​

Answers

Answer:

See Below.

Step-by-step explanation:

We want to prove that:

[tex]\displaystyle \sin\theta\sec\theta+\cos\theta\csc\theta = 2\csc2\theta[/tex]

Let secθ = 1 / cosθ and cscθ = 1 / sinθ:

[tex]\displaystyle \frac{\sin\theta}{\cos\theta}+\frac{\cos\theta}{\sin\theta}=2\csc2\theta[/tex]

Creat a common denominator. Multiply the first fraction by sinθ and the second by cosθ. Hence:

[tex]\displaystyle \frac{\sin^2\theta}{\sin\theta\cos\theta}+\frac{\cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Combine fractions:

[tex]\displaystyle \frac{\sin^2\theta + \cos^2\theta}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Simplify. Recall that sin²θ + cos²θ = 1:

[tex]\displaystyle \frac{1}{\sin\theta\cos\theta}=2\csc2\theta[/tex]

Multiply the fraction by two:

[tex]\displaystyle \frac{2}{2\sin\theta\cos\theta}=2\csc2\theta[/tex]

Recall that sin2θ = 2sinθcosθ. Hence:

[tex]\displaystyle \frac{2}{\sin2\theta}=2\csc2\theta[/tex]

By definition:

[tex]\displaystyle 2\csc2\theta = 2\csc2\theta[/tex]

Hence proven.

what shape is this cause I'm having a bit of trouble?​

Answers

Answer:

isn't that a square or is it called sum eles-

Step-by-step explanation:

I think that’s a square because it has 4 equal sides

What is the midpoint of the segment with endpoints(-4, -
2) and (2, 6)?

Answers

Answer:

(-1,2)

Step-by-step explanation:

hope you find this useful!

https://ncalculators.com/geometry/mid-points-calculator.htm

Hey guys please try this is kinda urgent. what is the value of x in the geometric progression. 16/9 , x, 1, y.​

Answers

Answer: Either 4/3 or -4/3

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

Explanation:

Let r be the common ratio. Also, we'll make r nonzero, i.e. [tex]r \ne 0[/tex]

Multiplying this common ratio by any term gets us the next term of the geometric sequence.

16/9 is the first term, so that makes (16/9)*r the second term

Since (16/9)r is the second term, the third term is (16/9)r*r = (16/9)r^2

Set this equal to 1 and solve for r.

(16/9)r^2 = 1

r^2 = 1*(9/16)

r^2 = 9/16

r = sqrt(9/16) or r = -sqrt(9/16)

r = 3/4 or r = -3/4

Now that we know what r is, we can determine the second term

If r = 3/4, then,

(16/9)*r = (16/9)*(3/4) = 4/3

Or if r = -3/4, then,

(16/9)*r = (16/9)*(-3/4) = -4/3

So the second term is either 4/3 or -4/3 depending on which r value you go for.

use the diagram to compute the perimeter and area of the triangle.​

Answers

Answer:

The area is 22.5 units

The perimeter is 24.3 units

Step-by-step explanation:

The formula for the area of a triangle is A=bh(1/2)

So, base*height (5*9) is 45. Divide that by 2, and you get 22.5.

To find the perimeter, it looks like the triangle is a right triangle. To solve for that, use the Pythagorean theorem formula: a2 + b2 = c2.

5^2+9^2=c^2

25+81=106=c^2

Find the square root of 106

10.2956301

If your teacher usually asks to round, round.

I'll just round to the tenths place. 10.3

Add all the sides: 5+9+10.3

You get 24.3

Answer:

perimeter= 24.29

area=22.5

Step-by-step explanation:

a^2+b^2=c^2

5^2+9^2=106

106^(1/2)=10.29

perimeter= sum of all sides

""= 5+9+10.29

""=22.29

area= base × height ÷ 2

""= (5×9)÷2

""=22.5

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if you were pouring juice into a cylindrical cup with a 2 inch radius and height of 8 inches. you want to fill it exactly half full, how many cubic inches of juice would you pour Which of the following is a step in simplifying the expression x multiplied by y to the power of 2 over x to the power of negative 3 multiplied by y to the power of 3, the whole to the power of negative 4.? (5 points)x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 7 multiplied by y to the power of negative 1.x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of 12 multiplied by y to the power of negative 12.x to the power of negative 4 multiplied by y to the power of negative 8, the whole over x to the power of negative 3 multiplied by y to the power of 3.x to the power of negative 4 multiplied by y to the power of negative 2, the whole over x to the power of negative 3 multiplied by y to the power of 3. If the price level is 100 for 1996 and the price level is 103.3 in 1998, a nominal GDP in 1998 of $8,800 billion would mean that real GDP in 1998 (in 1996 prices) would be closest to:_______a. $9.090.4 billion. b. $8,518.9 billion. c. $8,800 billion. d. $8696.7 billion subject Math, 25.02.2021 09:15 hajuyanadoyIllustrate the following and determine the number of permutations. 1. Arranging 4 pots with different plants in a row2. Forming a four-digit ATM pin.3. Securing a motorcycle with a three-digit combination lock using the numbers 1, 2, 3 and 64. Displaying 3 identical small vases, 1 figurine, and a photo frame in a row5. 3 girls sitting around a circular table Cenntura was having fun playing poker she needed the next two cards out to be heart so she could make a flesh five cards of the same suit there are 10 cards left on the deck and three our hearts what is the probability that two cards doubt to Seterra without replacement will both be hearts answer choices are in percentage for format rounded to the nearest whole number Which of the following is a noncontact force?O A. Friction between your handsO B. A man pushing on a wallO C. Air resistance on a carD. Gravity between you and the Sun Joanne earns $150 per week plus a 5% commission on her sales. If she made $355 last week, what were her sales for this week? The marked price of a palmtop was Rs 10,000. What will be the price of palmtop if 13% VAT was levied, after allowing 15% discount on it ? Write a story which begins with the words "It was only when I arrived at the house I realized I had forgotten........" (narrative, 500 words) For a population with = 40 and = 8, what is the z-score corresponding to X = 34? Budget related factor in communication is...a. The medium b. The content of your talkc. The contextd. The available resourceswhich one ? In one of the classic nuclear physics experiments at the beginning of the 20th century, an alpha particle was accelerated toward a gold nucleus, and its path was substantially deflected by the Coulomb interaction. If the energy of the doubly charged alpha nucleus was 2.25 MeV, how close (in m) to the gold nucleus (79 protons) could it come before being deflected A Body is said to be in equilibrium when its:-a) Acceleration is uniform b) Speed is uniformc) Speed and acceleration are uniformd) Speed is uniformI need the right answer. Please quick Which of the following are square root of the number below? Check all that apply.81 Que cantidad se obtiene al resolver la siguiente operacion: [4+{(2-5)2-4(7-5)3+2(15/3)}]- Raiz cuadrada de 16 On April 1, Holton Company borrows $100,000 from West Bank by signing a 6-month, 6%, interest-bearing note.Prepare the necessary entries below associated with the note payable on the books of Holton Company.(a) Prepare the entry on April 1 when the note was issued.(b) Prepare any adjusting entries necessary on June 30 in order to prepare the semiannual financial statements. Assume no other interest accrual entries have been made. In 2017, the population of a village was 7500. In 2019, the population of the village was 8265. Work out the percentage increase in the population of the village from 2017 to 2019. McGregor Company allows customers to pay with credit cards. The credit card company charges McGregor 3% of the sale. When a customer uses a credit card to pay McGregor $1,300 for services provided, McGregor would: How does the Appalachian Mountains important to the US development Last year Ace charged $1,469,867 Depreciation on the Income Statement of Andrews. If early this year Ace purchased a new depreciable asset, the effect on Andrews's financial statements would be (all other items remaining equal):