PLZ HELP ASAP 50 PTS (MATH) + Brainliest

1) Factor the trinomial. Show ALL work:
x2 − 5x + 6

2) Factor the polynomial using grouping. Show ALL work:
5x3-2x2+25x-10


3( Determine the missing term from the perfect square trinomial. Show ALL work.
x2 − ______+ 36
Write in factored form: ( )2

4( Choose ONE of the following polynomial and factor completely, showing ALL work.
16x2 − 81
15x2 − 35
3x2 + 21x + 36

Answers

Answer 1

Answer:

x+3 and x+2( 5 x + 2 ) ( x 2 + 5 )9x^2+163x2 + 21x + 36

Step-by-step explanation:

x2 + 5x + 6

Let us try factorizing this polynomial using splitting the middle term method.

Factoring polynomials by splitting the middle term:

We need to find two numbers ‘a’ and ‘b’ such that a + b =5 and ab = 6.

On solving this we obtain, a = 3 and b = 2

Thus, the above expression can be written as:

x2 + 5x + 6

= x2 + 3x + 2x + 6

= x(x + 3) + 2(x + 3)

= (x + 3)(x + 2)

Thus, x+3 and x+2 are the factors of the polynomial x2 + 5x + 6.

For Step 1, you just want to find all combinations of two numbers that multiply together to be 56. Make sure you take negatives into account. Those pairs of numbers are:

 

(p, q, p+q)

(1, 56, 57)

(-1, -56, -57)

(2, 28, 30)

(-2, -28, -30)

(4, 14, 18)

(-4, -14, -18)

(7, 8, 15)

(-7, -8, -15)

 

Use those pairs of numbers and their sums to fill in the three columns of your table.

STEP 2   Look down your p+q column to find the pair of numbers that add up to equal to -15. That's (p, q) = (-7, -8).   STEP 3   Using the information from steps 1 and 2, you can factor the trinomial like this:   x2 - 15x + 56 = (x + p)(x + q) = (x - 7)(x - 8)   FOIL that back out if you'd like, to make sure the expressions are equivalent.  STEP 4   Hopefully, seeing steps 1 through 3 worked out will help you with step 4. Find all the pairs of numbers that multiply together to be 36 (1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6, and all their negative equivalents), then figure out which pair has a sum of 12. That means you've found your p and q, and can factor the trinomial as (x + p)(x + q).
Answer 2

Answer:

1) Factor the trinomial. Show ALL work:

(x-2)(x-3) steps see explanation

2) Factor the polynomial using grouping.

Group and factor out the greatest common factor (GCF), then combine.

[tex](5x-2) (x^{2} +5)[/tex]

4) Choose ONE of the following polynomial and factor completely.

15x2 − 35 = [tex]5 (3x^2-7)[/tex]

Step-by-step explanation:

x2−5x+6

The middle number is -5 and the last number is 6.

Factoring means we want something like

(x+_)(x+_)

We need two numbers that

Add together to get -5

Multiply together to get 6

Try -2 and -3:

-2+-3 = -5

-2*-3 = 6

Fill in the blanks in

(x+_)(x+_)

with -2 and -3 to get...

(x-2)(x-3)

4( Choose ONE of the following polynomial and factor completely,

15x^2-35

35 as 5*7

15 as 5*3

= 5*3x^2-5*7


Related Questions

I CANT FOCUS ON THIS QUESTION CUZ ALL OF MY SEROTONIN IS FOR MY NEW DOG​

Answers

Answer:

B) 3 5/9

Step-by-step explanation:

Subtracting the mixed numbers gives you 3 5/9. Have fun with your new dog!

9x - 7i > 3 (3x - 7u)

Answers

Answer: i < 3u

Step-by-step explanation:

9x - 7i < 3 (3x -7u)

= 9x - 7i < 9x - 21u  

= -7i < -21u (cancel out the 9x)

someone please help me answer this!!

Answers

The distance would be 6

Answer:

17 units is the answer

Step-by-step explanation:

Points are (1,9) and (9,-6)

Pythagorean theorem can be written as,

[tex]d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(9-1)^2 + (-6-9)^2}\\\\d=\sqrt{(8)^2+(15)^2} \\\\d=\sqrt{64+225} \\\\d=\sqrt{289} \\\\d=17[/tex]

∴ d = 17 units is the distance between 2 points.

How many lines of symmetry does this figure have?

Answers

Answer:

4 i think

Step-by-step explanation:

If you fold this figure some times it should get it evenly

2. Find the length of a side of a square if its area is:
a. 81 square inches
b. cm
c. 0.49 square units
d. m² square units

Answers

Answer:

9 inches ; 0.7 units ; m units

Step-by-step explanation:

The area of a square is give as :

The square of the side length of the square ; that is ;

Area of square = s² ;

Where s =! Side length of the square

Hence ;

A square with area = 81 in²

Length of its side = sqrt(81) = 9 inches

Area of square = 0.49 unit²

Length of its side = sqrt(0.49) = 0.7 units

Area of square = m² unit²

Length of its side = sqrt(m²) = m units

"Jonas prepared himself to walk to the stage when the applause ended and the Chief Elder picked up the next folder and looked down to the group to call forward the next new Twelve. He was calm now that his turn had come. He took a deep breath and smoothed his hair with his hand." - The Giver *

1st person
2nd person
3rd person objective
3rd person limited
3rd person omniscient

Answers

Answer:

3rd limited

Step-by-step explanation:

Complete the​ table, for the following​ investments, which shows the performance​ (interest and​ balance) over a​ 5-year period.
Suzanne deposits ​$4000 in an account that earns simple interest at an annual rate of 2​%. Derek deposits ​$4000 in an account that earns compound interest at an annual rate of 2​% and is compounded annually.​

Answers

Answer:

After 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in his account.

Step-by-step explanation:

Since Suzanne deposits $ 4000 in an account that earns simple interest at an annual rate of 2%, and Derek deposits $ 4000 in an account that earns compound interest at an annual rate of 2% and is compounded annually., Both for a period of 5 years, to determine how much money each one will have in their account after 5 years, the following calculation must be made:

Suzanne:

((4,000 x 0.02) x 5) + 4,000 = X

(80 x 5) + 4,000 = X

400 + 4,000 = X

4,400 = X

Derek:

4,000 x (1 + 0.02 / 1) ^ 5x1 = X

4,000 x 1.02 ^ 5 = X

4,416.32 = X

Thus, after 5 years of investment, Suzanne will have $ 4,400 in her account, while Derek will have $ 4,416.32 in her account.

y-5=4x and y=4x-5 has no solution true of false?

Answers

y-5=4x and y=4x-5 has no solution so that would be true.

Steve earns $6.50 an hour. He worked 25 hours in the previous 1-week pay period. If Steve's employer withholds 10% of each of Steve's paychecks to pay Steve's income tax, how much will Steve take home in this week's paycheck?

Answers

Answer:

$146.25

Step-by-step explanation:

$6.50 per hour

for 25 hours = 25 × 6.50 = $162.5

10% of 162.5

162.5 × 10 ÷ 100

= 16.25

his week paycheck

162.5 - 16.25

= $146.25

Answer:

146.25$ is the a answer for sure

PLEASE HELP! I WILL GIVE 5 STARS, A THANKS, AND BRAINLIEST IF CORRECT!


A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.


Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?


A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of five packs compared with walk-in customers, who buy an average of three packs.

A. Online customers buy an average of six packs compared with walk-in customers, who buy an average of two packs.

Answers

It would have to be the last one: Online customers buy an average of 6 packs compared with walk-in customers, who buy an average of 2 packs.
This is because more online customers buy the 6 pack than any other pack while the walk-ins buy mainly the 2 packs.

Answer:

The answer would be C: Online customers buy an average of 4 packs compared with walk-in customers, who buy an average of 2 packs.

Step-by-step explanation:


What is the value of g in the relative frequency table?
Round the answer to the nearest percent.
25%
33%
63%
68%

Answers

Answer:

g = 33%

Step-by-step explanation:

The values in the ends of the rows are found by adding together.

For the first row, we would add the value in cell AC to the value in AD to get the value in the corresponding column called "Total".  This means we add 20% +g to get 53%;

Subtract 20% from each side

g = 53% - 20%

Sam borrows R7000 from a Bank at 14% p.a ,simple interest for 5 years.
How much does he have to pay back to the Bank at the end of 5 years period.​

Answers

Answer:

$ 4,900.00

Step-by-step explanation:

I = 7000 × 0.14 × 5 = 4900

I = $ 4,900.00

A spider is trying to climb a wall that is 15 metres high. In each hour, it climbs up 3 metres, but falls back 2 metres. In how many hours will it reach the top of the wall?​

Answers

In 15 hours

That or 13 hours, if we don’t include the fall back for the last one tho I highly doubt that so go with 15

The spider needs 15 hours to climb up the top of the wall.

What is a word problem?

A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

For the given situation,

A spider is trying to climb a wall of height = 15 meters

In each hour, it climbs up 3 meters but falls back 2 meters,

⇒ [tex]+3-2=1[/tex]

Thus spider climbs 1 meter per hour.

For 15 meter wall, the spider needs 15 hours to climb up the wall.

Hence we can conclude that the spider needs 15 hours to climb up the top of the wall.

Learn more about word problems here

brainly.com/question/20594903

#SPJ2

Wich number line shows the graph x<-6?


The other side of the number line is -5 and -10​

Answers

The first one is the right answer

Answer:

It is the first one

Step-by-step explanation:

Open circle is greater or less than.

Closed circle is greater than or equal to and less than or equal to.

Which value of x would make TV IOS?
R
03
08
x
x + 4
10
X + 10
11
T
X-3
V
//
х

Answers

Answer:

11

Step-by-step explanation:

the value of x is 11 to make tv IOS

The measure value of y is 10.

Option C is correct.

What is Basic Proportionality Theorem?

When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.

The fundamental proportionality theorem can be used to calculate the lengths of two sides of a triangle divided by a line drawn parallel to the third side. It can also be used to determine the relationship between two equiangular triangles.

We have

RT= x+ 4

TQ= x- 3

RV= x+ 10

As, TV || QS

By using Basic Proportionality Theorem

RT / TQ = RV / VS

(x+ 4) / (x- 3) = (x+ 10)/ x

x² + 4x = x² -3x + 10x - 30

4x - 7x = -30

-3x = -30

x= 10

Thus, the required value is 10.

Learn more about Basic Proportionality Theorem here:

https://brainly.com/question/28987422

#SPJ7

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Answers

This question is incomplete, the complete question is;

One consequence of the popularity of the Internet is that it is thought to reduce television watching. Suppose that a random sample of 45 individuals who consider themselves to be avid Internet users results in a mean time of 1.98 hours watching television on a weekday. Determine the likelihood of obtaining a sample mean of 1.98 hours or less from a population whose mean is presumed to be 2.35 hours.

Assume that the standard deviation for​ "time spent watching television on a​ weekday" is 1.93 hours.

Answer:

the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

Step-by-step explanation:

Given the data in the question;

x" = 1.98  

μ = 2.35  

s = 1.93

n = 45

so, p( x" < 1.98 ) = P( (x" - μ)/(s/√n) )

we substitute in our values,

p( x" < 1.98 ) = P( (1.98 - 2.35) / (1.93/√45) )

= p( -0.37 / 0.2877

= P(  - 1.29 )

from standard normal table,

P(  - 1.29 ) =  0.0985  

Therefore, the likelihood of obtaining a sample mean of 1.98 hours or less is  0.0985  

 

40 POINTS !! 40 POINTS !!

PLEASE HELP , DONT SKIP !

NO LINKS OR ILL REPORT YOU AND GET YOUR ACCOUNT DELETED.

Answers

Answer:

6

Step-by-step explanation:

(2/5)^3=

anybody help???

Answers

Answer:

8/ 125

Step-by-step explanation:

8/ 125

Answer:

8/125

Step-by-step explanation:

I think. you can use the app photo math

Which of the following are techniques used in geometric constructions with
paper folding?
Check all that apply
O A Creating arcs and circles with the compass
B. Marking points
Measuring line segments by folding the paper and matching the
endpoints
D Folding the paper and aligning marks seen through the paper
UBMIT

Answers

Answer= A
Explication

student were asked to choose their favorite subject if 4/8 of the student chose history and 3/8 chose biology what fraction chose either history or biology

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:


[tex]8 + 8 < 17 > [/tex]
es la repuesta
8×2 8​

Answers

Answer:

Step-by-step explanation:

multiplicative identity

multiplication property of zero

addition property of zero

multiplicative inverse

additive inverse

communicative

reflexive

distributive

symmetric ​

Answers

distributive, symmetric, no idea cause none of these seem right, communicative, addition property of 0, can't see the last one

What is the fraction ⁸⁄₂₀ in its simplest form?

Answers

Answer:

2/5

Step-by-step explanation:

dsadsadasddsadsadasddsadsadasddsadsadasddsadsadasd

Step-by-step explanation:

8/20=4/10=2/5

done by cancelling

hope it helps

What is 6 ( 8 + w). Use the distributive property to remove the parentheses.

Answers

Answer:

42 + 6w

Step-by-step explanation:

Basically,

6(8+w) is 6 x (8+w)

OR 6(8) + 6(w)

Hence 42 + 6w

Using the distributive property you would multiply the number outside of the parentheses by everything inside the parentheses. So 6 x 8 and 6 x w.

6 x 8= 48 6 x w=6w

Final answer: 48 + 6w

You earn $18 for watching three cars how much do you earn to Washing 2 cars

Answers

Answer:

$12

Step-by-step explanation:

3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.

x^2-6=2-18x solve by completing the square

Answers

X^1=-9[89],x^2=-9+[89]

A factory produces bags of rubber bands. A bag of rubber bands has five different sizes: extra large (XL), large (L), medium (M), small (S), and extra small (XS). A quality control specialist collects a random sample of 450 rubber bands from the bagging machine and calculates a chi-square goodness-of-fit test to see if the frequencies for each size in the sample match the hypothesized distribution. The quality control specialist will test his sample against the following null hypothesis.H0:pXL=0.10,pL=0.20,pM=0.40,pS=0.20,pXS=0.10 How many medium rubber bands are expected in the random sample of 450 rubber bands?

Answers

Answer:

The expected frequency is 90

Step-by-step explanation:

If the given probabilities are taken as observed

pXL=0.10,      450*0.1= 45

pL=0.20,      450*0.2= 90

pM=0.40,     450*0.4= 180

pS=0.20,     450*0.2= 90

pXS=0.10     450*0.1= 45

We can assign the expected frequencies to be 450/5= 90 each

The chi square goodness fit test can be calculated as

Observed    Expected   (o-e)       (o-e)²          (o-e)² /e

45                   90         -45            2025              22.5

90                  90           0                0                    0

180                 90           90             8100               90

90                 90            0              0                         0

45                  90         -45             2025                   22.5    

∑                                                                                135        

χ²= 135

The χ² value at 0.05 is 9.49

The result is significant.

Answer:

180

Just took the test

4.01 ESSENTIAL QUESTIONS
How do you use the distance formula and slope formula to classify a
quadrilateral?
How do you use the distance formula and slope formula to classify a triangle?
How do you use the distance formula and slope formula to prove properties of
polygons?

4.02 ESSENTIAL QUESTIONS
How do you use the slope to prove lines are parallel or perpendicular?
How do you write an equation of a line so that it is parallel or perpendicular to a
given point?
How do you use parallel and perpendicular lines to solve real-world problems?
4.03 ESSENTIAL QUESTIONS
How do you divide a segment into given ratios?

How do you use coordinates to find the perimeter and area of polygons?

Answers

Answer:

You use distance and slope formula to classify a quadrilateral by using the x and y coordinates of the quadrilateral. Boom

Step-by-step explanation:

PLEASE HELP A BROTHER OUT
Charlie's business makes $1,051.75 on average each day. What should Charlie expect the business
to make in three weeks?

Answers

Answer:

$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.

Step-by-step explanation:

Ok bro.

Depending on what kind of buisness he has here are the answers:

If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =

$22,086.75

If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =

$15776.25

Each base in this right prism-like figure is a quarter of a circle with a radius of 2 m.
10 m
2 m
2 m
What is the volume of the figure?
Give an exact answer in terms of pi.

Answers

Answer:

Volume of the figure = 10π cubic meters

Step-by-step explanation:

Volume of the right prism like figure = Area of the base × Height

Area of the base of the prism = [tex]\frac{1}{4}(\pi r^{2})[/tex]

                                                 = [tex]\frac{1}{4}(\pi)(2)^2[/tex]

                                                 = π m²

Height of the prism = 10 m

Volume of the prism given in picture = π × 10

                                                              = 10π cubic meters

Answer: 10π

Step-by-step explanation:

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