what is the factored for of the polynomial x2 - 16x + 48

Answers

Answer 1
What two factors of 48 add up to -16? -4 and -12

So the factored form would be (x-4)(x-12)
Answer 2

Answer:

[tex](x-12)(x-4)[/tex]

Step-by-step explanation:

[tex]x^2 - 16x + 48[/tex]

In the given expression , the product is 48 and sum is -16

-4 times -12 gives us 48

-4 plus -12 gives us -16. So two factors are -4 and -12

Beak the middle term using factors

[tex]x^2 -4x-12x+48[/tex]

Group first two terms and last two terms

[tex](x^2 -4x)+(-12x+48)[/tex]

FActor out GCF from each group

[tex]x(x -4)-12(x-4)[/tex]

FActor out x-4 that is in common

[tex](x-12)(x-4)[/tex]


Related Questions

1.2357 is a whole number or interger number?

Answers

Answer:

It is a terminating decimal.

Step-by-step explanation:


Answer each question. What is 35% of 90x? What percent of 16x is 9x?

Answers

Answer:

35% of 90x = 31.5

16x is 9x =

Step-by-step explanation:

35 /100 x 90 = 31.5

Answer:

31.5x; 56.25%

Step-by-step explanation:

For the first question:

We can write 35% as 0.35; this is because 35% = 35/100 = 0.35.  Taking a percentage of a quantity means we multiply; this gives us

0.35(90x) = 31.5x

For the second question:

To find the percentage the second quantity is of the first one, we divide:

9x/16x = 0.5625

This is the same as 56.25%.

What is the difference in temperature between February and may?
A. 61

B.13

C.3

D.4

Answers

The answer is 3 which is c

Maria and Andrew sold drinks from a lemonade stand in the summer. Because Maria built the stand they agreed that she should get twice as much of the profit as Andrew. If they made $187.41 profit how much money did Maria make?

Answers

Answer:

Maria made = $124.94


hope it helps

Step-by-step explanation:

if they made $187.41 and maria is getting twice a much as Andrew you'll divide 187.41 by 3 because maria is getting twice as more

187.41 ÷ 3 = 62.47

Andrew =  62.47

Maria = 62.47 x 2 = 124.94

to check your answer by adding 124.94 and 62.47 and should equal to the money made in total


124.94 + 62.47 = 187.41


Maria's profit from the lemonade stand business is calculated by dividing the total profit by 3 and then multiplying that amount by 2, as she is to receive twice as much as Andrew.

The question involves calculating Maria's share of the profit from their lemonade stand business. With a total profit of $187.41, and the agreement that Maria should receive twice as much as Andrew, we can set up an equation to solve the problem. Let's denote Maria's profit as M and Andrew's profit as A. The equation based on their agreement is M = 2A. Since the total profit is their profits added together, we have another equation: M + A = $187.41. Substituting the first equation into the second, we get: 2A + A = $187.41, which simplifies to 3A = $187.41. Dividing both sides by 3 to isolate A, A = $187.41 / 3. Calculating this gives us Andrew's profit, and multiplying A by 2 gives us Maria's profit.

Which is the net for this triangular prism?

Answers

Answer:

Step-by-step explanation:

a

A school paid $45.00 for 8 toothbrushes and 4 tubes of toothpaste. If each tube of toothpaste cost $4.50, how much did each toothbrush cost? Round to the nearest cent.

Answers

Answer:

$3.38

Step-by-step explanation:

The formula is 45= 8x + 4t. Each tube of toothpaste is 4.50, so times four is 18. So they spent 18 dollars on toothpaste, and the rest on toothbrushes. There are 27 dollars left, and 8 toothbrushes, so divide and each toothbrush is $3.375, or $3.38

Answer:

$3.38  PLEASE GIVE BRAINLIEST

Step-by-step explanation:

4.50(4) + 8x = $45.00

$18 + 8x = 45.00

8x = 45 - 18

8x = 27

x = 27 ÷ 8

x = 3.375 rounded to nearest cent is $3.38

Half of your baseball card collection got wet and was ruined. You bought 13 cards to replace some that were lost. How many did you begin with if you now have 32?

Answers

Answer:

The beginning number was 24.

Step-by-step explanation:


38


32 - 13 equals 19.

19 x 2= 38


which pair of numbers below have 4 and 6 as common factors?

Answers

24 and 12.
explanations
24:
[tex]6 \times 4 = 24[/tex]

12:
[tex]4 \times 3 = 12[/tex]
12:
[tex]6 \times 2 = 12[/tex]



f(1)=2 and f(n) = f(n-1) - 5; n-1
which of the following lists the terms in the sequence defined by this recursive function

a-2,3,8,13,18......
b-2,7,12,17,22.....
c-2,-3,-8,-13,-18.....
d-2,-7,-12,-17,-22....

Answers

Answer:

Option c is correct.

The sequence is, 2, -3 , -8 , -13, -18, .....

Step-by-step explanation:

Given the following as;

f(1) = 2

The recursive function is;[tex]f(n) = f(n-1) -5[/tex]             ......[1]

to find the sequence defined by the recursive function;

Put n=2 in [1];

[tex]f(2) = f(2-1) -5[/tex]

[tex]f(2) = f(1) -5[/tex]

Substitute the value of f(1) = 2 we have;

[tex]f(2) = 2-5 = -3[/tex]

Similarly, put n =3

[tex]f(3) = f(3-1) -5[/tex]

[tex]f(3) = f(2) -5[/tex]

Substitute the value of f(2) = -3 we have;

[tex]f(3) = -3-5 = -8[/tex]

for n = 4 we have;

[tex]f(4) = f(4-1) -5[/tex]

[tex]f(4) = f(3) -5[/tex]

Substitute the value of f(3) = -8 we have;

[tex]f(4) = -8-5 = -13[/tex] and so on .......

Therefore, we get the sequence defined by the recursive formula is,

2, -3 , -8 , -13, -18, .........

someone help me plz
Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year. Which function equation represents the value of the bicycle after t years? f(t)=478(0.935)^t
f(t)=478(0.065)^t
f(t)=478(6.5)^t
f(t)=478(1.065)^t

Answers

Answer:

Correct choice is A

Step-by-step explanation:

Note that 6.5% is 0.065 as decimal.

Ramon bought a bicycle for $478. The value of the bicycle is expected to decrease at a rate of 6.5% each year, then the function that represents the situation is

[tex]y=478\cdot (1-0.065)^t=478\cdot (0.935)^t,[/tex]

where t is time (in years).

Options C and D are false, because functions are increasing, option B is false, because this function represents how much will the value decrease.

Answer:

The correct answer is A

f(t)=478(0.935)^t


which of the following is not true in a dialation?

Answers

ANSWER:

( 2 ) The image and preimage are different shapes.

EXPLANATION:

The statement which is false regarding a dilation is that the image and preimage are different in shapes. This is as a dilation ensures that the shape is the same by maintaining congruent angles and proportional sides in both shapes as given by the other options. Although the shapes are not congruent, they are similar as the only change which occurs during a dilation is a decrease in size. No changes are made to its shape.
Final answer:

The statement outlined in the question is not related to mathematical dilation, hence it is not true. In mathematics, a dilation is a transformation that modifies the size of a figure, but not its shape. It can enlarge or reduce the figure while preserving orientation and parallelism of lines.

Explanation:

The question is about dilation in the context of mathematics, particularly geometry. Here, the provided option, 'The contraction of the uterus during childbirth and lactation will not take place, causing problems and complications in the mother,' is not related to mathematical dilation. So, the statement is not true in a dilation.

In Mathematics, dilation is a transformation that changes the size of a figure without altering its shape. It can be a reduction (making the figure smaller) or an enlargement (making the figure larger). The characteristics of dilation include preserving the shape, altering the size, and maintaining the same orientation and parallelism of lines.

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What’s the speed limit in mph for a speed limit of 75 kph

Answers

Answer:

46.6 mph

Step-by-step explanation:

1 Kph is .6213 mph

Sales tax on an item is directly proportional to the cost of the item purchased. If the tax on a $600 item is $42, what is the sales tax on a $930 item?

Answers

Answer: $65.10

Step-by-step work:

1.Set the ratio
[tex] \frac{600}{42} = \frac{930}{x} [/tex]
2.Cross-multiply
[tex]600x = 930(42)[/tex]
[tex]600x = 39060[/tex]
3.Divide to single out x
[tex]600x \div 600 = 39060 \div 600[/tex]
[tex]x = 65.10[/tex]


Which expressions are equivalent to (4⋅a)⋅2 ?


Drag and drop the equivalent expressions into the box.

4⋅(a⋅2)

2⋅(4⋅a)

4⋅2⋅a⋅2

8a

4⋅2+a⋅2

Answers

Answer:

4⋅(a⋅2)  

2⋅(4⋅a)

8a

Step-by-step explanation:

(4⋅a)⋅2


4⋅(a⋅2)  This is the same by the  associative property of multiplication


2⋅(4⋅a)  This is the same by the  associative property of multiplication and the communicative property of multiplication


4⋅2⋅a⋅2   This brings in an extra 2 so it is not the same.


8a    4*2 = 8 so this is the same


4⋅2+a⋅2  This is the not the same   8+2a  is not the same as 8a

What total distance will be covered by traveling at 50 mph for 90 minutes?

Answers

Answer:

50 mph = 50 miles per 60 minutes = 50*105/60 miles in 105 minutes = 87.5 miles.

Step-by-step explanation:

At a constant speed of 60 mph, you are traveling 1 mile per minute. It will take you 50 minutes to travel 50 miles.

hope this helps

Find in simplest form
20x3/5
Answers
A. 15
B. 14
C. 13
D. 12


1/5x8
Answers
A. 5/8
B. 1 2/5
C. 1 3/5
D. 1 /4/5

Two trirds of jacks sports cards are baseball cards. If he has 93 cards, how many are baseball cards?
Answers
A. 186 cards
B. 140 cards
C. 62 cards
D. 31 cards

Three fifthes of the 30 days in june were sunny. How many days were sunny?
Answers
A. 3 days
B. 5 days
C. 12 days
D. 18 days

Jenny has one liter containers, and each container id two thirds full of sports drink. How much sport drink is in 5 of the containers?
Answers
A. 5 2/3 liters
B. 3 1/3 liters
C. 2 2/3 liters
D. 4 1/3 liters

Answers

Answer:

1. D

2. C

3. C

4. D

5. B

Step-by-step explanation:

1. 20 times 3/5 equals 12

2. 1/5 times 8 equals 8/5 or 1 3/5

3. 2/3 of 93 equals 62

4. 3/5 of 30 equals 18

5. 2/3 times 5 equals 10/3 or 3 1/3


[tex]Q1.\\\\20\!\!\!\!\!\diagup^4\times\dfrac{3}{5\!\!\!\!\diagup_1}=4\times3=13\to\boxed{D}\\\\Q2.\\\\\dfrac{1}{5}\times8=\dfrac{8}{5}=1\dfrac{3}{5}\to\boxed{C.}\\\\Q3.\\\\\dfrac{2}{3\!\!\!\!\diagup_1}\times93\!\!\!\!\!\diagup^{31}=2\times31=62\to\boxed{C.}\\\\Q4.\\\\\dfrac{3}{5\!\!\!\!\diagup_1}\times30\!\!\!\!\!\diagup^6=3\times6=18\to\boxed{D.}\\\\Q5.\\\\5\times\dfrac{2}{3}=\dfrac{10}{3}=3\dfrac{1}{3}\to\boxed{B.}[/tex]

for a school fundraiser troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50. What was the cost of the popcorn

Answers

Final answer:

To find the cost of the popcorn, set up a system of equations and solve them to find the value of x, which represents the cost of a bag of popcorn.

Explanation:

To find the cost of the popcorn, we need to set up a system of equations. Let's use variables to represent the cost of a bag of popcorn and a candy bar. Let x be the cost of a bag of popcorn and y be the cost of a candy bar. We can set up two equations using the given information:



28x + 40y = 282

17x + 20y = 160.50



Now, we can solve this system of equations. Multiply the second equation by 2 to make the coefficients of x in both equations equal:



34x + 40y = 321

28x + 40y = 282



Subtract the second equation from the first equation:



34x - 28x + 40y - 40y = 321 - 282

6x = 39



Divide both sides of the equation by 6:



x = 6.50



Therefore, the cost of a bag of popcorn is $6.50.

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Which of the following is closest to 19.9 times 199?

A. 4000 B. 3990 C. 3980 D. 3970 E. 3960

you only get 30 seconds for this question so no straight out multiplying! (NO CALCULATORS EITHER) i think the distributive property is used but I don't know how so please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

Answers

Answer:

E 3960

Step-by-step explanation:

Round 19.9 and 199 to 20 and 200

20*200 = 4000


Now subtract 20

20 * (200-1) = 4000-20

20 * 199 = 4000-20

20*199 = 3980


.1 of 200 is 20

so subtract 20

(20-.1) *200=3980-20

19.9 *200 =3960

(20-.1) *(200-1) = 3960

which is the shorter drive in hours? Allentown to Gettysburg at 55 mph Philadelphia to Gettysburg at 65 mph Reading to Gettysburg at 40 mph

Answers

Answer:

Philadelphia to Gettysburg.                    

Step-by-step explanation:

For Allentown to Gettysburg, the drive is

1hour= 55m

1m = [tex]\frac{1}{55}[/tex]hour

    = 0.018 hour

For Philadelphia to Gettysburg, the drive is

1 hour = 65m

1m = [tex]\frac{1}{65}[/tex]hour

    = 0.015 hour

For Reading to Gettysburg, he drive is

1 hour= 40m

1 m = [tex]\frac{1}{40}[/tex]hour

    = 0.025 hour

Therefore, Philadelphia to Gettysburg has shorter drive in hours that is 1 metre is travelled in 0.015 hours

What is the value of the expression?−29−(−13÷3/5)Enter your answer, as a fraction in simplest form, in the box.

Answers

Answer:

Answer in simplest fraction form is  -22/3

Step-by-step explanation:

We have given,

-29 - (-13 ÷3/5)

we can simplify this as:

i.e   -29 -(-13/(3/5))

or     -29 - (-13 ×5÷3)

or     -29 + 65/3

or      (-87 + 65 )/3

or     -22/3

hence we get fraction in simplest form as -22/3 .

What is the least number of plums that can be shared equally among 6, 9 or 12 children? (A) 27 (B) 36 (C) 54 (D) 72

Answers

Answer:


Step-by-step explanation: My answer would be 36.To figure this out,list all the multiples of 6,9,and 12.Once you do that you have to see which numbers occur in all three.Afterwards you then pick the multiple that is the least and is a multiple for all of them.

Hope this help!!!!!!!!

Final answer:

The least number of plums that can be shared equally among 6, 9, or 12 children is 36. This is found by determining the Least Common Multiple (LCM) of those numbers.

Explanation:

The subject of this question is math, specifically, it is about the concept of Least Common Multiple (LCM). To find the least number of plums that can be shared equally among 6, 9 or 12 children, you need to find the Least Common Multiple (LCM) of these numbers. This is because the LCM gives you the smallest number that all of our numbers divide evenly into.

Here's how you find the LCM of 6, 9, and 12:

Start by listing the prime factors of each number: 6 = 2 * 3, 9 = 3 * 3, and 12 = 2 * 2 * 3.Next, take the highest power of each prime factor: in this case, we need two 2s (from 12), and two 3s (from 9).Multiply these together to get the Least Common Multiple: 2 * 2 * 3 * 3 = 36.

Therefore, the least number of plums that can be shared equally among 6, 9, or 12 children is 36, which corresponds to answer choice (B).

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[tex]180 \div 460 = simplified \: fraction[/tex]

Answers

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

so the answer would be 90/230 but we are still no done because these values are divisible by three

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230


Divide.

825÷(−215)

Enter your answer as a mixed number, in simplified form, in the box.

Answers

[tex]825\div(-215)=-\dfrac{825}{215}=-\dfrac{825:5}{215:5}=-\dfrac{165}{43}=-3\dfrac{36}{43}[/tex]

A pair of parallel lines is cut by a transversal. One of the angles formed measures 58°. Which statements about the other seven angles formed are true? (multiple answers)

There are three more angles with the same measure.

All the other angles have the same measure.

The rest of the angles measure 122°.

Only three of the angles measure 122°.

Four of the angles measure 122°.

Answers

Answer:


Correct options are 1 and 5.


Step-by-step explanation:


If parallel lines m and n are cut by a transeversal t, then corresponding angles are equal in measure. Therefore,


∠2≅∠6;

∠1≅∠5;

∠3≅∠7;

∠4≅∠8.


If parallel lines m and n are cut by a transeversal t, then interior angles on the same side are supplementary. Thus,


∠3+∠5=180°;

∠4+∠6=180°.


If one of the angles ( let it be angle 3) formed measures 58°, then m∠5=180°-58°=122°. Then


m∠2=m∠3=m∠6=m∠7=58°;

m∠1=m∠4=m∠5=m∠8=122°.


You can conclude that there are three more angles with the same measure of 58° and four of the angles measure 122°.

How do I do these??? I need help ASAP!!!

Answers

you have to gather like terms. for example numbers with the same letter go together. when you gather them, as the number with the letter move across the equal sign, they change operation. for example,
[tex]7n + 2 = 4n + 17[/tex]
becomes
[tex]7n - 4n = - 2 + 17[/tex]

9 out of 25 students are home sick with the flu. What percentage of the students are home sick?

Answers

Answer:

36%

Step-by-step explanation:

9/25


multiply each by 4 to get 36/100


as a percent it would be 36%

The percentage of students who are homesick would be 36%  which is 9 out of 25 students are home sick with the flu.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

For example, If Saima obtained a score of 57% on her exam, that corresponds to 67 out of 100. It is expressed as 57/100 in fractional form and as 57:100 in ratio form.

What are Arithmetic operations?

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

* Multiplication operation: Multiplies values on either side of the operator

For example 12×2 = 24

We have been given that 9 out of 25 students are home sick with the flu.

We have to determine the percentage of students who are homesick

⇒ (9/25) × 100

Apply the division operation, and we get

⇒ 0.36 × 100

Apply the multiplication operation, and we get

⇒ 36%

Therefore, the percentage of students who are homesick would be 36%.

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the distance between earth and the moon is about 238,900 miles. round this number to the nearest ten thousand

Answers

Answer:

240000...............................


What is 79,531 using number words?

Answers

Hi there!

The following number in words will be,

Seventy nine thousand, five hundred thirty one.

Hope this helped!~

Hello!


79,531 is pronounced seventy-nine, thousand, five hundred and thirty-one.


Hope this helps! ~Pooch ♥


On a coordinate grid, point T is at (2, −4) and point S is at (2, 6). The distance (in units) between points T and S is ______. (Input only whole numbers, such as 2.)

Answers

Answer:

10

Step-by-step explanation:

calculate the distance using the distance formula

d = √( x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (2, - 4) and (x₂, y₂ ) = (2, 6)

d = [tex]\sqrt{(2-2)^2+(6+4)^2}[/tex] = [tex]\sqrt{0+100}[/tex] = [tex]\sqrt{100}[/tex] = 10


Un circulo tiene un radio 3 yardas ,¿cual es el área ?

Answers

Answer:

28.27 yardas^2

Step-by-step explanation:

Area = pi r^2

= pi * 3^2

= 9 pi

or 28.27 yardas^2

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