Some steps to rewrite the expression x3 − 16x + x2 − 16 as a product of three factors are shown below:

Step 1: x3 − 16x + x2 − 16
Step 2: x3 + x2 − 16x − 16
Step 3: x2(x + 1) − 16(x + 1)

Which of the following best shows the next two steps to rewrite the expression?

Step 4: (x2 + 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x + 4)(x + 4)(x + 1)
Step 4: (x2 − 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)
Step 4: (x2 + 16)(x + 1); Step 5: (x − 4)(x + 4)(x + 1)

Answers

Answer 1

Answer:

third one

Step-by-step explanation:

the third one should be the answer

step 4 came out becoz of taking the common factor(x+1) and combining x2 and (-16)

Step 5 came out becoz of the theory of (a^2-b^2) = (a+b)(a-b)

ps 16 here is equal to 4^2


Related Questions

Are the dotted lines in the shape parallel, perpendicular or intersecting?

Answers

Answer:

Parallel

Step-by-step explanation:

The dotted lines are parallel because they have the same gradient to each other, this means the two dotted lines will never touch each other.

Have a great day <3

Find the slope of the line (brainlist whoever gets it right first and extra points on this question)

Answers

Answer:

y = -3x

Step-by-step explanation:

Answer:

the slope is 3

Step-by-step explanation:

find two points on the graph then do rise/run

A 2-gallon jug of juice costs $10.88. What is the price per cup?

Answers

Answer:

it's ¢.34

Step-by-step explanation:

a gallon has 16 cups

since there are two gallons that's 32

the price of the two gallons divided my 32 is how much each cup would be so 10.88/32 would be ¢.34

Please help me with this i didn’t get the answer

Answers

I think m is 216
Below is pic of my workings

What is the surface area of the prism?
1.
5 in.
4 in.
5 in

Answers

Answer:

140

Step-by-step explanation:

Find ( x+5 ) ( x+2 )​

Answers

Answer:

(x+5)(x+2)

x(x+2)+5(x+2)

x*x+x*2+5*x+5*2

x^2+2x+5x+10

x^2+7x+10

Step-by-step explanation:

PLEASE HELP!!!!!! In which week was the rainfall in Portland the highest and how much fell?

weekly rainfall bar graph
Week 3, 800 cm
Week 4, 1400 cm
Week 4, 1200 cm
Week 3 900 cm

Answers

Answer:

Week 4, 1400

Brainliest plz

Step-by-step explanation:

Answer:

Week 3 and 900 cm

Step-by-step explanation:

Brainliest Please!

Find the values of x and y. Write your answers in simplest form.

Answers

Answer:

To find X you'll need this formula Tan 30, and this one to find y cos 30.

Step-by-step explanation:

tan 30 = 9 / x.

tan 30*x = 9

x = 9 / tan 30

x = 15.58

To find y, the value of X will be needed, which is 15.5 that we just found.

Cos= A/H

Cos 30 = 15.58/ y

Cos 30 * y = 15.58

y = 15.58/ cos 20

y = 17.99

HIYAAAAAAA I 'OPE YOUR ALL WELL THE PROBLEM IS THAT I STUGGLE WITH MATHS...

Answers

Trust me, you're not the only one who's bad at math.  '-'

The Movie Haven is planning to order new medium-size popcorn containers. It has a choice of four different containers. It costs the company $0.02 per cubic inch of popcorn to fill a container. The company does not want the new container to cost more than $3.00 to fill. Which container should the company use? Use 3.14 for Pi.

Container A
A cylinder with height 5 inches and diameter 7 inches.

Container B
A cylinder with height 6 inches and radius 3 inches.

Container C
A cylinder with height 12 inches and B = 11.14 inches squared.

Container D
A cylinder with height 10 inches and diameter 6 inches.

container A
container B
container C
container D

Answers

Answer:

only option less than $3 is (C)

Step-by-step explanation:

Volume(cylinder) = πr²h or Bh

I used the guess-and-check method and got the following:

A) 3.85

B) 3.39

C) 2.67

D) 5.65

The three inside angles (A,B and C) of a right-angled triangle are in the ratio 7:18:11. Th smallest angle is 35. Work out angles A, B and C

Answers

Answer:

<A = 35degrees

<B =90degrees

<C = 55degrees

Step-by-step explanation:

Given the ratios of a triangle as 7:18:11

Total ratio = 7+18+11

Total ratio = 36

Since the smallest angle is 35degrees, hence <A = 35degrees

Get angle B;

<B = 18/36 * 180 (sum of angle in a triangle is 180degrees)

<B = 1/2 * 180

<B = 90degrees

Get angle C;

<C = 11/36 * 180

<C = 11 * 5

<C = 55degrees

Hence the value of A, B and C are 35, 90 and 55 degrees repectively

A bus is traveling at a constant speed. If the bus travels 15miles in
of an hour, how many miles will the bus travel in one

Answers

Answer:

15 miles

Step-by-step explanation:

If the bus is travelling at a constant speed of 15 miles per hour, then in 1 hour, the bus would have travelled 15 miles.

In a box containing 20 cans, 12 of the cans contain vegetables. In the box, 5 of the cans are dented, with 2 of the dented cans containing
vegetables
What is the probability that a randomly selected can in the box is dented or contains vegetables?
OA 65%
OB. 75%
OC. 95%
OD 85%

Answers

Answer: B.) 75%

Step-by-step explanation:

12 cans contain veggies and 5 cans are dented, since two of the dented cans contain veggies don't count those two. This means you'll add 12 and 3 which equals 15. 15 out of 20 is an example of three fourths or 75%.

Calcule: a) ( - 7 ) . ( + 3 ) . ( - 2 ) * 1 ponto + 42 - 12 - 42 b) - 4 . ( + 3 - 2 + 5 ) * 1 ponto - 12 - 24 + 24

Answers

Answer:

a) 42

b) -24

Step-by-step explanation:

Recordar las reglas de los signos:

(-)*(-) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(+)*(+) = (+)

Tambien la propiedad distributiva:

A*(B + C + D) = A*B + A*C + A*D

Queremos calcular:

a) (-7)*(+3)*(-2)  

Los primeros dos terminos dan:

-(7*3)*(-2) = -(21)*(-2) = (-21)*(-2) = +(21*2) = +42

b) -4*( + 3 - 2 + 5)

= (-4)*(3) + (-4)*(-2) + (-4)*(5)

= - 12 + 8 - 20 = 8 - 32 = -24

I need it today please

Answers

I believe the answer is 207.66?

Answer:

$207.66

Step-by-step explanation:

30% off is the same as saying there is 70% not off, and 70% is the same as 0.70

0.70*349= 244.30

15% off is the same as saying 85% is not off, and

85% is the same as 0.85

0.85*244.30=207.655

because it's money, you round to 2nd decimal place

$207.66

hope this was helpful :)

Evaluate the expression and identify any domain restrictions. Use order of operation.

Answers

Answer:

Its in the picture so you can understand it better.

Step-by-step explanation:

I need help. I will give brainlist if right answer.
Fill in the table using this function rule.
y=2+3x

Answers

Answer:

I need to see the table bro

Pls pls help me !!!!

Answers

3,-2 is the right answer i think

Luka buys 210 coat hangers.
The coat hangers are sold in boxes.
There are 35 coat hangers in each boz.
Each box of coat hangers costs £19.50
Work out the total cost of the boxes of tiles Luka buys.

Answers

Answer:

$117

Step-by-step explanation:

[tex]210 \div 35 = 6[/tex]

[tex]19.50 \times 6 = 117[/tex]

Find the inverse function.
x - 3
f(x) =
+ 2
5
f-1(x) = [ ? ]x + [ ]

Answers

Answer: 5(x-2) + 3 [aka 5x - 7, whichever form your computer accepts these both mean the same]

Steps
Solve for the inverse function of
f(x)=((x-3)/5)+2

First one should replace the variables so
that f(x)=((x-3)/5)+2 becomes:


x=((y-3)/5)+2 (this isn’t necessary, it just makes it easier for those to remember the variable they are looking for when first learning about inverses) —> regardless, we are searching for y.

So doing regular algebra, we get:

x=((y-3)/5)+2
x-2=((y-3)/5)
5(x-2)=y-3
5(x-2)+3=y

Thus, the inverse: f(x)^-1 = 5x-7

PLEASE HELP!!! Which number line shows the solution 2/3x-5>3

Answers

Answer:

last option is the answer; all values greater than 12

Step-by-step explanation:

2/3x - 5 > 3

2/3x > 8

x > 24/2

x > 12

Answer:

the last one

Step-by-step explanation:

I took the test

Determine if the sequence below is arithmetic or geometric and determine the
common difference / ratio in simplest form.
12, 6, 3, ...

Answers

Answer:

The sequence is geometric

The common ratio is 0.5

Step-by-step explanation:

In the arithmetic sequence, there is a common difference between each two consecutive terms

In the geometric sequence, there is a common ratio between each two consecutive terms

Let us check the given sequence

∵ The first 3 terms are 12, 6, 3

∵ 6 - 12 = -6

∵ 3 - 6 = -3

∵ There is no common difference between the consecutive terms

∴ The sequence is not an arithmetic sequence

∵ 6 ÷ 12 = 0.5

∵ 3 ÷ 6 = 0.5

∴ There is a common ratio between each two consecutive terms

∴ The sequence is a geometric sequence

∴ The common ratio is 0.5

nadia will survey 50 students in her town to find out what their favorite summertime activity is which group would likeyl give the best representation for her survey

Answers

Answer:

B. 50 students in her school

Step-by-step explanation:

Every other answer is at a seperate place designed to help someone in a specific field, besides the school.

SHOW YOUR WORK. The volume of the cylinder is 235.6 ft cubed. Find the height.

Answers

Answer:

Answer: 3 feet

Step-by-step explanation:

Here's the complete question:

The volume of the cylinder is 235.6 cubic feet the radius is 5ft. Find the height.

Note that Volume of a cylinder = πr²h

where Volume = 235.6 feet³

Radius = 5 feet

Height = Unknown

Then, we put the values back into the question and this will be:

V = πr²h

235.6 = 3.14 × 5² × h

235.6 = 3.14 × 25 × h

235.6 = 78.5 × h

h = 235.6 / 78.5

h = 3 feet

The height is 3 feet

Step-by-step explanation:

Find the area of a trapezoid with base 1 is 10 cm, base 2 is 12 and the height is 8

Answers

Answer:

88 sq cm

Step-by-step explanation:

A=(b1+b2) x H divided by 2

[Easy Points] Kanna Kamui sees 3 snowmen. Then he sees 2 more. How many snowmen did Kanna see in all?

Answers

Answer:

the correct answer is 5 snowmen

Factorise fully 12x^3-4x^2

Answers

Answer:

4x² (3x - 1)

Step-by-step explanation:

12x³ - 4x²

4x² (3x - 1)

Find x and y, when AB and MN are similar

Please I need your help quickly

Answers

Answer:

x is 5 but sorry I can't Find the value of y

Answer:

y=3

x=5

Step-by-step explanation:

it's similar so CN =NB          

that means y=3

so MN=AB

x=5

vertex of the graph of x^2 + 8x + 12=0​

Answers

Answer:

Step-by-step explanation:

Hope this helps u!!

A marine biologist compared two large pools that could be used for a new dolphin training arena. Pool A held 2 x 10¹⁰ gallons, and pool B held 2 x 10⁸ gallons. How many times more gallons will the larger pool hold than the smaller pool?

O4
O 20
O 100
O 200​

Answers

Answer:

20

Step-by-step explanation:

2 x 10 = 20

divided by 4 = 5

The larger pool will hold is 100 times more gallons than the smaller pool

What is capacity and measurement?

From the question, we are to determine how many times more gallons the larger pool holds than the smaller pool

From the given information,

Capacity of the larger pool = 2 × 10¹⁰ gallons

Capacity of the smaller pool = 2 × 10⁸ gallons

To determine how many times more gallons the larger pool  holds more than the smaller pool, we will simply divide the capacity of the larger pool by the capacity of the smaller pool

That is,

[tex]\frac{2 \times 10^{10} }{2 \times 10^{8}}[/tex]

= 10²

= 100

Hence, the larger pool will hold is 100 times more gallons than the smaller pool.

Learn more on Capacity here: https://brainly.com/question/7598008

#SPJ2

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