what is f(x)=x²-16 in factored form

Answers

Answer 1

Answer:

f(x) = (x + 4)(x - 4)

Step-by-step explanation:

f(x) = x² - 16

This is the difference of two squares.

f(x) = (x + 4)(x - 4)


Related Questions

HELP MEEEEEEEEEEEEEEE

Answers

[tex]\dfrac{8^2 \cdot 4^{-3}}{2^4\cdot 8^{-2}}\\\\\\=\dfrac{(2^3)^2\cdot(2^2)^{-3}}{2^4\cdot (2^3)^{-2}}\\\\\\=\dfrac{2^6\cdot2^{-6}}{2^4\cdot 2^{-6}}\\\\\\=\dfrac{2^6}{2^4}\\\\\\=2^{6-4}\\\\\\=2^2\\\\\\=4[/tex]


Mrs. Bailey is knitting a striped blanket for her granddaughter. She made of the blanket pink, of the blanket green, and the rest
of the blanket was white. Which fraction represents the white part of the blanket?
A) 3/4 of the blanket
B) 5/8 of the blanket
C) 1/2 of the blanket
D) 3/8 of the blanket

...

Answers

Answer:

D) 3/8 of the blanket

Step-by-step explanation:

Adding up the pink and green parts, then subtracting it from 1 would yield the white area. Finding a common denominator gives: 2/8 + 3/8 which is 5/8. So 5/8 of the blanket is not white meaning that 3/8 of the blanket is white.

Answer:

D

Step-by-step explanation:

I got it on my test

Help me put the inequality on the number line!

Answers

Answer:

3 with an arrow pointing to the left

Step-by-step explanation:

2 rectangular pyramids are connected at their bases. the total height of the 2 figures if 10 units. the base edge lengths are 9 units and 1.5 units. the height of each pyramid is 5 units. which statements about the composite figure are true? check all that apply. the composite figure consists of two rectangular pyramids. the composite figure can be broken down into rectangular prisms. the volume of the composite figure is 1.5(9)(5) 1.5(9)(5). the total volume is 45 units3. the total volume is 90 units3.

Answers

The true statements about the figure are:

Volume of the composite figure = sum of the volume of each rectangular pyramids.Volume of the composite figure = 45 units³What is the Volume of a Rectangular Pyramid?

Volume = 1/3(length)(width)(height)

The volume of the composite figure = sum of the volume of each rectangular pyramids.

The two pyramids have the same height and base. Therefore:

Volume of the composite figure = 2[1/3(length)(width)(height)] = 2[1/3(9)(1.5)(5)]

Volume of the composite figure = 45 units³

Learn more about the volume of a rectangular pyramid on:

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Answer:

A,D

Step-by-step explanation:

There are 239 people in the first 6 rows of a movie theater. If the same number of people are in the next 6 rows, about how many people are in the next 12 rows?

Answers

The same amount as in the first part of the problem

Ira purchased a new dishwasher for $361.35. the dishwasher was on sale for 17.5% off. what was the original price of the dishwasher, to the nearest dollar? a. $379 b. $382 c. $425 d. $438

Answers

A discount is the amount of money that is removed from the original price. The original price of the dishwasher is  $438.

What is a discount?

A discount is the amount of money that is removed from the original price of a commodity when it is being sold.

We know that the commodity is being sold that a price of $361.35 but the discount is 17.5% and we are to obtain the original price of the commodity.

Let the original price be x

x - 17.5/100x = 361.35

82.5x/100 =  361.35

x =  361.35 * 100/82.5

x =  $438

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6. Quaker uses 14 of a barrel of chocolate chips to make each batch of their
Chewy marshmallow chocolate chip granola bars. In one day, the company uses
3 12 barrels of chocolate chips to make granola bars. How many batches
of granola bars did the company make in the day?

Answers

Answer:

4/5=.80

4/.80= 5

5*7= 35

You can make 35 granola bars with 4 cups of chocolate chips.

I hope this helps!

The number of batches of granola bars the company make in the day is 22.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, Quaker uses 14 of a barrel of chocolate chips to make each batch of their Chewy marshmallow chocolate chip granola bars.

Number of batches = Total barrels of chocolate chips/Number of a barrel of chocolate chips

= 312/14

= 22.28

≈ 22

Therefore, the number of batches of granola bars the company make in the day is 22.

To learn more about the unitary method visit:

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State translation,reflection or rotation

(x, y) ——-> (x + 9, y + 2)

Please help me with this please and thank you

Answers

Answer12

Step-by-step explanation:

2

19. Which Venn diagram correctly represents the relationship between rational numbers and irrational numbers? Explain your answer.

Answers

The right answer is C

PLEASE HELP IM DOING IT RIGHT NOW

Answers

Answer:

To find the product of 568.32 and [tex]10^{4}[/tex], move the decimal point in 568.32 4 places to the right because [tex]10^{4}[/tex] has 4 zeros.

Step-by-step explanation:

[tex]10^{4}[/tex] = 10000

568.32 · 10000 = 5683200

the decimal point moved 4 places to the right because 10000 has 4 zeros.

hope this helps!

pls help with my problem!

Answers

The volume of the triangle prism is 225m

Explanation:

To find the volume of this triangular prism we should the formula base times height equals volume. Let’s say the base of the prism is the triangle. We need to find the area of the triangle so we can use the formula base times height divided by two. The base of the triangle is 5 and the height is 9. So 9x5=45 and then we divide this number by 2.
45/2 is 22.5m
So now we have the base for our formula and now we need the height. We can see 10m stretched across the prism so we can assume that is our height.
So we take our base (22.5m) and multiply it by out height (10m) to find our volume.
22.5 x 10 = 225

So the volume is 225m
Hope this helps!

What is the additive inverse of the complex number –8 3i? –8 – 3i –8 3i 8 – 3i 8 3i

Answers

The additive inverse of a number gives zero. The additive inverse of the complex number -8+3i is 8-3i.

What is additive inverse?

The additive inverse of a number is the other number which when added to the initial number gives the output as zero.

As we know about the additive inverse, therefore, we need a number that will return zero when added to the complex number.

The additive inverse of the complex number -8+3i will be,

[tex](-8+3i) + (8-3i) = 0[/tex]

Thus, the additive inverse of the complex number -8+3i is 8-3i.

Learn more about Additive Inverse:

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Answer:

8-3i

Step-by-step explanation:

got it right


A new spiral notebook contains 10 fewer sheets than a new
composition book. The total number of sheets of paper in
2 new spiral notebooks and 5 new composition books is
540. Which system of equations can be used to find s, the
number of sheets of paper in one new spiral, and c, the
number of sheets in one new composition book?

s - c = 10
2s – 5c = 540

c - s = 10
2c + 5s = 540

S + c= 540
2s - 5c = 10

c - s = 10
5c + 2s = 540

Answers

multiply quantity of each and add them together to get total of 540


2s + 5c = 540 or 5c + 2s = 540


The difference in pages is 19 so you would subtract: c-s = 10


answer would be

d: c-s = 10

5c + 2s = 540

If Lucy travels 20 metres in 1 second, how many metres will
she travel in 1 hour?

Answers

72,000 Meters

60x20 = 1200
1200 x 60 = 72,000 METERS

Answer:

72,000 meters

Step-by-step explanation:

Seconds in 1 hour = 3600

20 meters = 1 second

3600x20= 72000 meters

Is this correct guys? It's how i did it

What is the measure of Z?


A. 36
B. 72
C. 108
D. 144

Answers

An arc facing an inscribed angle (an angle drawn from the circumference) is double that angle.

[tex]xz = 2 \times xyz = 2 \times 72 = 144[/tex]

Answer:

144

Step-by-step explanation:

72*2=144

Rhys will tile the rectangle below to find it’s area. Q: How many unit squares with side length 1/10 foot will Rhys use to tile the rectangle? The sides of the rectangle: 3/10 foot and 4/5 foot. Answers: 24 unit squares, 18 unit squares, 12 unit squares, and 7 unit squares.

Answers

Using the areas of the rectangle and of the square, it is found that 24 unit squares will be used to tile the rectangle.

What is the area of a square?


The area of a square of side l is given by the square of l, that is:

A(l) = l².

In this problem, we have that [tex]l = \frac{1}{10}[/tex], hence the area is given by:

[tex]A = \left(\frac{1}{10}\right)^2 = \frac{1}{100} = 0.01[/tex]

What is the area of a rectangle?

The area of a rectangle of length l and width w is given by the multiplication of the measures, that is:

A = lw.

In this problem, we have that the measures are:

[tex]l = \frac{3}{10}, w = \frac{4}{5}[/tex]

Hence:

[tex]A = lw = \frac{3}{10} \times \frac{4}{5} = \frac{12}{50} = \frac{24}{100} = 0.24[/tex]

The area of the rectangle is 24 times the area of the square, hence 24 unit squares will be used to tile the rectangle.

More can be learned about areas at https://brainly.com/question/10489198

The number of unit squares with a side length  of 1/10 foot that Rhys uses to tile the rectangle is 24 units

How to calculate the area of plane shapes?

A square is a plane shape with 4 sides

The formula for calculating the area of the square is expressed as:

A = l^2

Given

side length of a square = 1/10 foot

A = (1/10)² = 1/100 = 0.01 square foot

Determine the area of the rectangle

Area = length * width

Area = 3/10 * 4/5
Area = 12/50 = 6/25
Area = 0.24 square foot

Take the ratio of both areas

Ratio = 0.24/0.01

Ratio = 24 units

Hence the number of unit squares with a side length  of 1/10 foot that Rhys uses to tile the rectangle is 24 units

Learn more on area of plane shapes here: https://brainly.com/question/2644832

A 3-column table with 5 rows. the first column is labeled state with entries florida, michigan, new york, california, texas. the second column is labeled republican primary with entries 12.8%, 16.5%, 1.4%, 22.9%, 12.8%. the third column is labeled general election with entries 63.5%, 64.7%, 53.1%, 55.2%, 49.7%. look at the table. what information is missing from the table that could help someone draw the most accurate conclusion about voter turnout in primaries and general elections? the year in which this election took place the candidates running for president the percentage of democratic primary voters the states of new jersey and arizona

Answers

Answer:

Percentage of Democratic primary voters

Step-by-step explanation:

Answer: C (the percentage of democratic primary voters)

Step-by-step explanation: took the test on edge

I need help with this question

Answers

Answer:

Option B 1/64

Step-by-step explanation:

[tex]\frac{4^{-\frac{11}{3} } }{4^{-\frac{2}{3} } } =4^{-11/3+2/3} =4^{-9/3} =4^{-3} =\frac{1}{4^{3} }=\frac{1}{64}[/tex]

Hope this helps

The answer is: 1/64

The only advice I can give you when solving such problems is to memorize your exponent rules.


The exponent rules I used to solve this problem was the quotients rule and the negative exponents rule.


Quotients rule: x^m/x^n= x^m-n

Negative Exponents rule: x^-n= 1/x^n

Does anyone understand this? Please explain and give me da answer ahahah, istg this teacher doesn’t teach at all.

Answers

Answer:

4.125

Step-by-step explanation:

33 divided by 8 and you get 4.125

The resistance of a wire varies directly with its length and inversely with the square of its diameter. If 100 feet of wire with diameter 0.01 inch has a resistance of 10 ohms, what is the resistance of 140 feet of the same type of wire if its diameter is 0.01 inch

Answers

Answer:

  14 ohms

Step-by-step explanation:

The resistance varies directly with length, so increasing the length by a factor will increase the resistance by the same factor.

__

The length of the wire increased by a factor of 1.4 from 100 ft to 140 ft. That means the resistance will increase by a factor of 1.4 from 10 ohms to 14 ohms. (The diameter did not change.)

The longer wire will have a resistance of 14 ohms.

What is the measure of

x
∠xstart color #11accd, angle, x, end color #11accd?
Angles are not necessarily drawn to scale.

Answers

65 degrees
123 angle on the other side it would be 180-123=57 a triangle has 180 degrees add the two angles up minus it from 180 and you get 65

Answer:

[tex]\sf \angle x=65^o[/tex]

Step-by-step explanation:

Angles DAB and BAC are supplementary angles because they form a straight line, meaning they add up to 180°.

[tex]\sf \angle DAB+\angle BAC = 180^o[/tex]

[tex]\sf 123^o+\angle BAC=180^o[/tex]

[tex]\boxed{\sf \angle BAC= 57^o}[/tex]

Interior angles of a triangle always add up to 180°:-

[tex]\sf \angle ABC +\angle BAC+\angle x= 180^o[/tex]

[tex]\sf 58^o+57^o+\angle x=180^o[/tex]

[tex]\boxed{ \sf \angle x=65^o}[/tex]

_________________________

Gotham government officials have a 58. 6% chance of being corrupt. Determine the probability that a randomly selected Gotham government official is not corrupt

Answers

100-58.6 = 41.4%

If 58.6 % are corrupt then rest of them are not corrupt. Total is 100%

Which value for x makes the sentence true?
1/40 + X = 1/8.
А. 3/20
B. 1/10
C. 1/24
D. 1/32​

Answers

Answer:

B

Step-by-step explanation:

[tex] \frac{1}{40} + x = \frac{1}{8} [/tex]

[tex]40( \frac{1}{40}) + (40)x = 40( \frac{1}{8} )[/tex]

[tex]1 + 40x = 5 \times 1[/tex]

[tex]1 + 40x = 5[/tex]

[tex]40x = 5 - 1[/tex]

[tex]40x = 4[/tex]

[tex] \frac{40x}{40} = \frac{4}{40} [/tex]

[tex]x = \frac{1}{10} [/tex]

Answer:

1/10

Step-by-step explanation:

It is a test i dont know how to do equations for scatter plots.

Answers

It has less to do with scatter plots all to do with slope intercept :)

slope intercept form:

y = mx + b

when m is the slope and b is the y-intercept

the line crosses the y axis at 40 so that is your y-intercept

and slope is rise/run so to make it easy I like to use whole numbers and reduce if necessary:

from ( 0, 40) the next point that the line goes through cleanly is at (3 , 35)

in order to get to that point you had to move down five or (-5) and to the right three or (+3) making your rise over run -5/3

putting this in slope intercept form you get:

y = -5/3 x + 40

Good luck with your test!! Please mark me brainliest! Thank you!

Write an expression for the product of z and 331.
Type an asterisk (*) if you want to use a multiplication sign and a slash (7) if you want to
use a division sign.

Answers

Hey I hope you have a good day

437.683
Write a number with a 7 in it that is 1/10 the size of the 7 in the number above.

Answers

Answer:

43.7683

Step-by-step explanation:

When multiplying by 10s, the decimal point moves. Since it is a fraction, making it lesser than an actual 10, the decimal point moves one space to the left (instead of right)

437.683

Take away 430 because we don't need it for this step

7.683

10% of 7.683 = 0.7683

add back 43

your answer is:

43.7683

hope this helps :)

Given & Proof
*Hard*

Answers

Answer:

Step-by-step explanation:

Can anyone help me with this answer.

Answers

Answer:

27 cm²

Step-by-step explanation:

Shaded Area = Area ABCE - Area AED

S.A. = 6 x 6 - 1/2 x 3 x 6 [DE = 1/2AB = 1/2 X 6 = 3]S.A. = 36 - 9S.A. = 27 cm²

Answer:

27 sq cm

Step-by-step explanation:

Area of the shaded region

= Area of rectangle - Area of triangle

= 6*6 -1/2(6)(3)

= 36 - 9

= 27 sq cm

HELPPPP RIGHT NOW FOR BRAINLEST!!!!

Answers

deefeeshhh eeezel cuz 1 - 6 = 34

Please help! I don’t get this at all

Answers

Answer:

I hope I help you

have a nice day

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