Select the correct answer.
Factor the polynomial below.
4.12
16
ОА.
4(x - 2)2
O B.
4(x + 2)(x - 2)
O c.
4(2 - x)2
4(2 + x)2 - x)

Select The Correct Answer.Factor The Polynomial Below.4.1216.4(x - 2)2O B.4(x + 2)(x - 2)O C.4(2 - X)24(2

Answers

Answer 1

Answer:

B

Step-by-step explanation:

That was actually trickier than I thought it would be

I was looking for 4(x-4),   but 4(x-2)(x+2) also works

Answer 2

Answer:

4(x - 2)(x + 2)  (Answer B)

Step-by-step explanation:

4x^2 - 16 is the difference of two squares, a case in which there is a simple formula to remember:  a^2 - b^2 = (a - b)(a + b)

4x^2 - 16 = (2x - 4)(2x + 4)

This can be further simplified:  2(x - 2)(2)(x + 2) = 4(x - 2)(x + 2)  (Answer B)


Related Questions

Suppose that prices of a gallon of milk at various stores in one town have a mean of $3.69 with a standard deviation of $0.11. Using Chebyshev's Theorem, what is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91

Answers

Answer:

The minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91 is of 75%.

Step-by-step explanation:

Chebyshev Theorem

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean of $3.69, standard deviation of $0.11.

What is the minimum percentage of stores that sell a gallon of milk for between $3.47 and $3.91?

3.47 = 3.69 - 2*0.11

3.91 = 3.69 + 2*0.11

So the minimum percentage within 2 standard deviations of the mean, which by Chebyshev's Theorem, is of 75%.

Answer:75%

Step-by-step explanation:

what is the volume of this container? 2000 cm? 2125 cm? 125 cm? 1875 cm?​

Answers

Answer:

125cm^3

Step-by-step explanation:

5x5x5=125

Hope this helped :)

please help

thank you​

Answers

Answer:

Step-by-step explanation:

-4<n≤5

Can someone help me I will mark u brilliant

Answers

Answer:

$42.09

Step-by-step explanation:

Total cost = 3.45*12.2 = $42.09

Answer:

Hello! answer: $42.09

Step-by-step explanation:

All I did was multiply the numbers together! so...

12.2 × 3.45 = 42.09 so Jenny spends 42.09 on gas HOPE THAT HELPS!

There are eight boys and seven girls in a class. The teacher randomly selects three different students to answer questions. What is the probability that the first two students are girls followed by a boy?

Answers

the probability is 7/15

Step-by-step explanation:

because there are 7 girls and 8 boys

PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWER 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE

Answers

Answer:

26. H

Step-by-step explanation:

26. An acute angle just has to be less than 90 degrees. Therefore, H is the correct choice.

Please mark as brainliest

Answer:

Angle H

Step-by-step explanation:

Angle H is correct because it is less than 90 degrees. Any angle more than 90º is obtuse. Any angle that is 90º is classified as a right angle.

For example,

Angle I is an obtuse angle.

Angle F is a right angle.

If this helps, please mark Brainliest!

Have a wonderful rest of your day!

Jaclyn bought a PS4 game that was on sale for 20% less than the original price. The original price was $10 more than the sale price.
What was the ORIGINAL price?
Explain your answer.

Answers

Answer:

$50

Step-by-step explanation:

If the original price was $10 more than the sale price, so we know that in this case, 20% = $10. Because 20% is equivlalent to [tex]\frac{1}{5}[/tex], multiply $10 by 5 to get the answer of $50.

7. A recent report states that 89% of Americans consider themselves above average drivers. A local newspaper is planning on conducting a survey to investigate whether this is true locally. If the newspaper assumes that the 89% claim is true and plans to use the normal approximation to calculate probabilities associated with their sample proportion, which sample size would be most appropriate

Answers

The available options are

A) 10

B) 11

C) 30

D) 91

E) The number depends on the size of the population.

Answer:

91

Step-by-step explanation:

Given that for the normal approximation, we need that:

np > 5 and np(1-p) > 5

Hence, we have

n = 91

91*0.89 = 80.99

91*0.89*0.11 = 8.9089 > 5

Therefore the answer gotten is satisfactory or satisfies the condition, and which makes 91 the accurate solution.

The other options, when calculated is less than 5

Help please it is do in 1hour

Answers

Answer:

The area of the triangle is 40 [tex]yd^2[/tex].

Step-by-step explanation:

The formula for finding the area of a triangle is [tex]\frac{1}{2} bh[/tex], where [tex]b[/tex] and [tex]h[/tex] represents the base length and height respectively. Since the height is 10 yards, and the base length is 8 yards, that means the area will be [tex]\frac{1}{2} * 8 * 10 = \frac{1}{2} * 80 = 40 yd^2[/tex].

Five applicants are to be scheduled for job interviews at five given times. On an application form, each applicant was asked to mark two out of the five times. What is the probability that each of them can be interviewed at one of the two times they have marked

Answers

Answer:

0.01024

Step-by-step explanation:

Assume marking was done at random : Hence, each of the 5 time slots have equal Chamves of being marked ;

Number of time slots, n = 5

Required to mark, number of preferred timeslot x = 2

P(x) = 2 /5 = 0.4

Probability of 0.4 that an interviewee gets one of his preferred timeslot.

Probability that each of the 5 interviewees gets one of their preferred time slots :

Using the multiplication rule of independence :

0.4 * 0.4 * 0.4 * 0.4 * 0.4 = 0.4^5 = 0.01024

0.01024 * 100% = 1.024%

Which is a true statement?
O A. 48 is 25% of 160.
O B. 32 is 40% of 88.
O C. 40 is 60% of 100.
O D. 72 is 80% of 90.

Answers

Answer:

D is the answer

Step-by-step explanation:

90 × 80/100 = 72

Answer:

B. 32 is 40% of 88

Step-by-step explanation:

At first i thought it was D, but 72 is really close to 90.. thats like 90% I'm pretty sure its B. 32 is 40%

what is the median of the data? 68,69,71,71,71,73,74,75,75,78 answers: 71,72,78,72.5

Answers

the answer is 72 because ur supposed to do (71+73)/2
71 is the median of the sequence of numbers listed

Plz help me well mark brainliest if you are correct!..

Answers

Answer:

8

Step-by-step explanation:

all numbers must be positive when you have the lines on the side

Answer:

8

Step-by-step explanation:

Solve for x. Round to the nearest tenth, if necessary.

Answers

Answer:

Step-by-step explanation:

take 35 degree as reference angle

using cos rule

cos 35=adjacent/hypotenuse

0.81=x/78

78*0.81=x

63.18=x

63.2=x

The value of x for the given triangle is x = 63.2.


What is trigonometric identity?

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions. There are numerous distinctive trigonometric identities that relate to a triangle's side length and angle.

Given that the angle is 35 and the adjacent side is x and the hypotenuse is 78.

The measure of value x will be calculated below,

cos(35)°=adjacent/hypotenuse

0.81=x/78

Multiply the value by 0.81 by 78 and solve for x,

78 x 0.81=x

63.18=x

63.2=x

Therefore, the value of x will be 63.2.

To know more about trigonometric functions follow

https://brainly.com/question/1143565

#SPJ6

A total of 492 lab coats were shared equally
across six departments.
How many lab coats did each department receive?




a70
b80
c82
d118​

Answers

Answer:

c.82

Step-by-step explanation:

492/6=82

Answer:

Since it was shared equally across 6 dept

Each Department would get 492/6 = 82

Option C.

Cage has been given two offers. Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. Which offer is better if Cage can play 8 games in the season?

Tallahassee Jellyfish offer is p = $400,00g and Madison Meerkats offer is p = $1,250,000 + $150,000g. At what point these two offer's graphs intersect?

(5, 2000000)


(5, 2)


(16, 3600000)


(50, 20000)

Answers

Answer:

1. Tallahassee Jellyfish is the better offer 2. (5, 2000000)

Step-by-step explanation:

1.

Since g = 8, p1 = 400000 * 8 = $3,200,000

and p2 = 1250000 + 150000 * 8 = $2,450,000

2.

400,000g = 1,250,000 + 150,000g

250,000g = 1,250,000

g = 1,250,000 / 250,000 = 5.

at g=5, you can use either graph to find the y value.

400,000 * 5  = $2,000,000

(5, 2000000)

You have a 25 cm piece of ribbon. How many cuts do you need to make to obtain the greatest number of pieces, where each piece is a different length and the length of each piece is a whole number, in centimeters?

Answers

Answer:

The cloth length is 400cm

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

honestly the easiest way to do this question is trial and error.

to cut the ribbon into 5 pieces they have to be sizes 3cm, 4cm, 5cm, 6cm and 7cm

The hanger image below represents a balanced equation.

Answers

Answer:

...

Step-by-step explanation:

j - 19

I'm not sure if it's correct though. Hope it helps.

How many gallons of a plant food that is 6% nitrogen must be combined with another plant food that is 30% nitrogen to make 10 gal of a plant food that is 15% nitrogen?

Answers

Answer:

x = 6 1/4

y = 3 3/4

Step-by-step explanation:

let 'x' = gallons of 6% nitrogen

let 'y' = gallons of 30% nitrogen

system of equations:

x + y = 10;  let y = 10-x

6x + 30y = 10(15)

substitute '10-x':

6x + 30(10-x) = 150

6x + 300 - 30x = 150

-24x = -150

x = 6 1/4

y = 3 3/4

Denise collects stuffed animals. The number of stuffed animals in her collection, a, after n, number of years, can be described by the equation a(n) = 3 + 4n. Which statement best describes the rate of change?

Answers

Answer:

its a

Step-by-step explanation:

(6,-5) is a point on the terminal side of 0. Find the exact values of cos0, csc0, and tan0.

Answers

point (6, -5) => x = 6, y = -5

r =√6² +(-5)² = √(36+25)=√61

the exact value of :

cos 0 = x/r = 6/√61 = 6/61 √61

csc 0 = r/y = √61/(-5) = -1/5 √61

tan 0 = y/x = -5/6

Answer:

Solutions given:

(6,-5)=(x,y)

r=[tex]\sqrt{6²+(-5)²}=\sqrt{61}[/tex]

Now

Sin θ=[tex] \frac{y}{r}[/tex]=[tex] \frac{-5}{\sqrt{61}}[/tex]

Cosθ=[tex] \frac{x}{r}[/tex]=[tex] \frac{6}{\sqrt{61}}[/tex]

CSC θ=[tex] \frac{r}{y}[/tex]=[tex] \frac{\sqrt{61}}{-5}[/tex]

Tan θ=θ=[tex] \frac{y}{x}[/tex]=[tex] \frac{-5}{6}[/tex]

Note:

p=y

b=x

h=r

A truck weighs 14,000 pounds how many tons do two truck weigh

Answers

Answer:

14 tons

Step-by-step explanation:

1 truck -- 14 000 pounds

2 trucks -- (14 000 * 2) = 28 000 pounds

1 pound --- 0.0005 tons

So, 28 000 pounds --- 14 tons

Thenks and mark me brainliest :)

If a student scored in the upper quartile, they received a treat from Mrs. Jones. What is lowest score they can earn and receive a treat?

Answers

There are 4 quartiles in a 100%so you would divide 100 by 4 and then you would get 25 points so you do 100-25 points and you get 75 set the lowest score that you can receive and get a treat is 75%

Which word best describes the degree of overlap between the two data sets?

none

moderate

high

low

Answers

Answer:

Moderate

Step-by-step explanation:

I think sorry if its wrong

The ratio of red chairs to blue chairs in the cafeteria is 3:5. If there are a total of 144 chairs in the cafeteria, how many are red?

Answers

Answer:

54.

Step-by-step explanation:

The fraction that are red = 3/(3+5) = 3/8.

So number of red chairs = 3 * 144/8

= 54.

Eight new graduates are hired by an engineering firm. Each is assigned at random to one of eight cubicles arranged in a row in the back of the room that houses the engineering staff. Two of the graduates are Bill and Cathy. What is the probability that they are assigned adjacent cubicles

Answers

Answer:

the probability that they are assigned adjacent cubicles is  1 ÷ 4

Step-by-step explanation:

Given that

There is 8 new graduates are hired

2 of the graduates are bill and cathy

And, each one is assigned on random basis

We need to find out the probability

So,

= (2) (7!) ÷ (8!)

= (2) ÷ (8)

= 1 ÷ 4

Hence, the probability that they are assigned adjacent cubicles is  1 ÷ 4

The same would be relevant

estimate the following by rounding off the numbers to nearest 100
a)875 + 291 b)866 x 625

Answers

Answer:

a 875 is 900 b 866 multiply by 625 ans is 541280

Solve for m 13x - 10
M
N
7x - 10

Answers

Answer:

x = 10

Step-by-step explanation:

Given:

Arc LM = 13x - 10

Arc MN = 7x - 10

Required:

Solve for x

Solution:

Recall: half a circle = 180°

Therefore,

Arc LM + Arc MN = 180°

13x - 10 + 7x - 10 = 180

Add like terms

20x - 20 = 180

20x - 20 + 20 = 180 + 20

20x = 200

20x/20 = 200/20

x = 10

A cuánto equivale 2/3 de 21

Answers

Answer:

2/3 of 21 is 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

2/3*21=42/3=14

which number line shows the solution to the inequality below

-4g<4

(look at picture)

Answers

Answer:

b

Step-by-step explanation:

make g by itself -> inequality becomes g>-1. Answer choice b fits the criteria

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