Factorise [tex]2t^2+5t+2[/tex]
and pls explain why 2t(t+2) becomes (2t+1) when you get to it in your working out ty

Answers

Answer 1

Answer:    [tex]\displaystyle\ \large \boldsymbol{ 2t^2+5t+2= {(2t+1) (t+2)}}[/tex]

Step-by-step explanation:

[tex]\displaystyle\ \large \boldsymbol{} 2t^2+5t+2=0 \\\\2t^2+\underbrace{4t+t}_{5t}+2=0 \\\\ (2t^2+4t)+(t+2)=0 \\\\ 2t(\underline{t+2})+(\underline{t+2})=0 \\\\ \boxed{(2t+1) (t+2)=0 }[/tex]


Related Questions

A retailer plans to sell two models of earbuds at costs of $250 and 5400.
The $250 model yields a profit of $45 and the $400 model yields a profit of
$50. The retailer estimates that the total monthly demand will not exceed
250 units. Find the number of units each model that should be stocked in
order to maximize profit, given that the retailer is not investing more than
$70,000 in inventory

Answers

200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Given that a retailer plans to sell two models of earbuds at costs of $ 250 and $ 400, and the $ 250 model yields a profit of $ 45 and the $ 400 model yields a profit of $ 50, and the retailer estimates that the total monthly demand will not exceed 250 units, to find the number of units each model that should be stocked in order to maximize profit, given that the retailer is not investing more than $ 70,000 in inventory, the following calculation should be performed:

250 x 250 + 0 x 400 = 62,500 200 x 250 + 50 x 400 = 70,000

Therefore, 200 $ 250 earbuds and 50 $ 400 earbuds should be stocked.

Learn more about maths in https://brainly.com/question/25865591

I NEED HELP PLEASE SHOW WORK ON A PIC

Answers

answers and step by step work on following picture

As per question

We shall proceed in graphical way

2x+4y≥8x+2y≥4--(1)

And

x-4y<6--(2)

Graph attached

What is the end behavior of the function f(x) = −x3 + 2x2 + 4x + 5

Answers

if any doubt leave a comment

The product of its digits is 24.
It is greater than 1/2
The sum of its digits is a prime number.
Use the clues to find the mystery percent

Answers

Answer:

Step-by-step explanation:

Try .83

8 + 3 = 11

8*3    = 24

.84> 1/2

What is the exact value of tan(−π4)?

Enter your answer in the box.

Answers

Answer:

What is the exact value of tan(−π4)? is 20

IF YOUR QUESTION IS...

What is the exact value of tan(-pi/4)?

Answer: -1

Write the percent as a fraction or mixed number in simplest form. 72.5

Answers

Answer: 72 1/2 or 725/10 as mixed number

Step-by-step explanation:

Answer:

72.5/100

Step-by-step explanation: Write down the percent divided by 100, then multiply both top and bottom by 10 after the decimal point, after you multiplied you will get 752/10 then simplify which the simplest form is 145/2 you with then have an improper fraction and it will be 72 1/2

askjdfhkajdshfjkhasdklfjhalkjdfhjkaldsfhlkjadhfklaf
asdkjfhaksjdfhkalsjf

Answers

Answer:

uh

Step-by-step explanation:

Which of the following solution sets represent the inequality 3-1/2x>10?​

Answers

[tex]3- \dfrac 12 x >10\\\\\implies - \dfrac x 2> 10 -3\\\\\implies -\dfrac x 2 >7\\\\\implies -x > 14\\\\\implies x<-14\\\\\text{Interval solution,}~ (-\infty,-14)[/tex]

Ok done. Thank to me :>

8[tex]x^-{4/3}[/tex]

Answers

Answer:

6

Step-by-step explanation:

8x

[tex] 8x - \frac{4}{3} = 0 \\ 8x = \frac{4}{3} \\ 24x = 4 \\ x = 6[/tex]

56 x 4 + 5 - 53=x
(x) x 23 + 500

Answers

Step-by-step explanation:

56× 4=224

224+5= 229

229-53=176

176×23=4048

4048+500=4548

The answer is = 4548

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

56*4+5-53-(x*(x)*x^23+500)=0

Step by step solution :

STEP
1
:

STEP
2
:
Pulling out like terms

2.1 Pull out like factors :

-x25 - 324 = -1 • (x25 + 324)

Equation at the end of step
2
:

-x25 - 324 = 0
STEP
3
:

Solving a Single Variable Equation:

3.1 Solve : -x25-324 = 0

Add 324 to both sides of the equation :
-x25 = 324
Multiply both sides of the equation by (-1) : x25 = -324


x = 25th root of (-324)

Negative numbers have real 25th roots.
25th root of (-324) = 25√ -1• 324 = 25√ -1 • 25√ 324 =(-1)•25√ 324

The equation has one real solution, a negative number This solution is x = negative 25th root of 324 = -1.2601


One solution was found :
x = negative 25th root of 324 = -1.2601

Solve. 8 3/5=3/4x−5 1/2 Enter your answer as a mixed number in simplest form in the box.

Answers

The value of x in the expression is 18(24/30).

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

8(3/5) = (3/4)x - 5(1/2)

43/5 = 3x/4 - 11/2

43/5  + 11/2 = 3x/4

(86 + 55)/10 = 3x/4

141/10 = 3x/4

3x = 141 x 4 / 10

x = 564/30

x = 18(24/30)

Thus,

The value of x is 18(24/30).

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

A moving truck traveled 333 miles in 6 hours. A car traveled 210 miles in 4 hours. What was the average rate of speed (mph) for each vehicle?

Answers

Divide distance by time

Truck : 333/6 = 55.5 miles per hour

Car: 210/4 = 52.5 miles per hour

Answer:

Below.

Step-by-step explanation:

Speed of truck = 333/6 = 55.5 mph.

Speed of car = 210/4 = 52.5 mph.

Describe the solution set for the equation below.

−29+5x=5(x−5)


One Solution
One Solution

No Solution
No Solution

Infinitely Many Solutions

Answers

Pretty sure it’s infinitely many solutions

PLEASE HELP ASAP What is the m and b for this graph??

Answers

Answer:

m = - 1 and b = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 2) and (x₂, y₂ ) = (2, - 3) ← 2 points on the line

m = [tex]\frac{-3-2}{2-(-3)}[/tex] = [tex]\frac{-5}{2+3}[/tex] = [tex]\frac{-5}{5}[/tex] = - 1

b is the y- intercept, that is where the graph crosses the y- axis.

line crosses the y- axis at (0, - 1 ) ⇒ b = - 1

Write 51 as a product of primes​

Answers

Answer:

The prime factorization of 51 is the product of prime numbers which results in 51. Thus, the prime factorization of 51 is 51 = 3 × 17.

Help bell math math math

Answers

Answer:

54

Step-by-step explanation:

C=πd

π=3

d=18

C=3×18

Therefore C=54

Answer:

c=54

Step-by-step explanation:

simplify 15(p+4+2) using distributive property pleasee, literally help meeee ill give brainliest

Answers

Answer:

15p+90

Step-by-step explanation:

15(p+4+2)

Add 4+2 since not doing it would make it WAY more confusing than it needs to be. Also, it's just common sense to add it first..! :D

15(p+6)

Now you just distribute <3

15p+90

300 milliliters per 'minute = ?
liters per hour

Answers

Answer:

300 millilters per min = 18 liters per hour

Step-by-step explanation:

The cost was 1,784. they also had to pay 7.25% sales tax. what was the total amount paid

Answers

Answer:

1913.34

Step-by-step explanation:

We multiply 1,784 by 0.00725. OR if you have a calculator that multiplies percentages you can write it out as 1784 * 7.25%.

Justin spends $15 at the grocery store. He buys a loaf of bread for $3 and buys 112 pounds of cheese. What is the price per pound of cheese?

Answers

Answer:

the answer is

Step-by-step explanation:

p, price per pound of cheese

The required price per pound of cheese is approximately $0.11.

What is the definition of simplification?

The process of removing unnecessary terms, factors, or operations from an expression using arithmetic and algebraic rules is known as simplification.

Here,
If Justin spent $15 at the grocery store and the loaf of bread cost $3, then the amount he spent on cheese is:

$15 - $3 = $12

To find the price per pound of cheese, we need to divide the total cost of the cheese by the number of pounds. We are given that Justin bought 112 pounds of cheese, so we can set up the following equation:

price per pound of cheese = total cost of cheese/number of pounds of cheese

Plugging in the values we know, we get:

price per pound of cheese = $12 / 112 pounds

price per pound of cheese = $0.11

Therefore, the price per pound of cheese is approximately $0.11.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ3

As Trish and tan were traveling to the state cross country meet, they followed their progress along on a map. The map showed a scale of 1 inch equaling 60 miles. Their route’s total length on the map is 2 1/2 inches long. How far will they be traveling to the meet? Show your work.

Answers

(60x2)+30 = 150 miles

30 = 1/2 of 60 which is half an inch

60 x2 because he travels 2 inches

Calculate the value of 2x and 3x

Answers

Answer:

2x= 88

3x = 132

Step-by-step explanation:

The sum of the angles  that form a circle is 360

2x+3x+140 = 360

5x+140 = 360

5x+140-140 = 360-140

5x= 220

Divide by 5

5x/5 = 220/5

x=44

2x= 2*44=88

3x = 3*44=132

9(2x129) = ?
Please help me im suffering math is hard

Answers

Answer:

18x^129

Step-by-step explanation:

Answer: That would be 2,322!

Step-by-step explanation:

What is the solution for -10 < x - 9?
x > -19
x < -1
x < -19
x > -1

Answers

Answer:

x > -1

Step-by-step explanation:

-10 < x - 9

Add 9 to each side

-10+9 < x - 9+9

-1 < x

x > -1

Answer:

x > - 1

Step-by-step explanation:

- 10 < x - 9

- 10 + 9 < x - 9 + 9

- 1 < x

x > - 1

Hope it helps!!

Marco runs 4 kilometers every morning. He takes 2 minutes for the first 500 meters, 4 minutes for the next 2000 meters, 1 minute for the next 700 meters, and 3 minutes for the rest.

Marco’s average speed for the entire run is__320___ meters per minute. Hint : One kilometer is the same as 1,000 meters.

Answers

Answer: 400 meters per minute.

Formula to find average speed: total time / total distance

Total time taken is 2+4+1+3 which is 10 minutes.

Total distance traveled is 4 kilometers.

(Unitary method)

In 10 minutes Marco runs 4 kilometers.

In 1 minute Marco will run 4/10 (0.4)kilometers.

Now to convert 0.4 kilometers to meters,multiply it by 1000.

0.4 * 1000 is 400 meters

so the final answer is he will run 400 meters in 1 minute.

jonathan sells clothes and makes a 4% commission. On sunday, jonathan sold $768 worth of clothes. How much was his commission on his sunday?

Answers

Answer:

768x4%= 30.72

His commission was $30.72

Step-by-step explanation:

Graph x <3
Please help me

Answers

Answer:

Step-by-step explanation:

Find the first three term if the general nth term is T = 2-n

Answers

Tn = 2n - 6

to find first term ,n= 1

substitute n for 1 in the equation

T1 = 2(1) - 6

T1 = 2 - 6 =-4

to find second term , n =2

substitute n for 2 in the equation

T2 = 2(2) - 6

T2 = 4 - 6 = -2

to find third term, n = 3

substitute n for 3 in the equation

T3 = 2(3) - 6

T3 = 6–6 = 0

FIRST TERM = -4

SECOND TERM = -2

THIRD TERM = 0

May I please receive help?

Answers

You got this bro why do u need our help for

Which congruence criteria is met in the following scenario?
ASA
SAS
SSS
HL
AAS

Answers

HL, it has those 90° angle signs
Other Questions
Any point on the budget constraint Multiple Choice Gives the consumer the highest level of utility. Represent a combination of two goods that are affordable. Represents combinations of two goods that yield the same utility. Reflects the price of one good divided by the price of another good. At the end of 2 years, P dollars invested at an interest rater compounded annually increases to an amount, A dollars, given by the following formula.A = P(1+r)?Find the interest rate if $192 increased to $363 in 2 years. Write your answer as a percent..-Annual compound interest rate = % (Type an integer or a decimal.) Need the value of P please Ben consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Ben's body decreases exponentially. The 10-hour decay factor for the number of mg of caffeine in Ben's body is 0.2722. What is the 5-hour growth/decay factor for the number of mg of caffeine in Ben's body A roller coaster has a mass of 1200.0kg. The coaster is going 22.0 m/s at the bottomof the third loop-the-loop that is 2.5m above the ground. Determine the height ofthe first hill that is required, assuming the cart is stationary at the top of the first hillbefore it falls. please help.find the missing side or angle and each problem . Vit nam tri qua bao nhiu i ch tch nc? Which equation is a direct variation function?y = xy = 1/4x + 2y = 4y = x -1/12 to the second power? Halp me plz Solve for 2. Round to the nearest tenth, if necessary.BXA7.9154Answer: The following information is available for Fenton Manufacturing Company at June 30: Cash in bank account $ 11,455 Inventory of postage stamps $ 74 Money market fund balance $ 10,400 Petty cash balance $ 350 NSF checks from customers returned by bank $ 867 Postdated checks received from customers $ 791 Money orders $ 290 A nine-month certificate of deposit maturing on December 31 of current year $ 6,000 Based on this information, Fenton Manufacturing Company should report Cash and Cash Equivalents on June 30 of:_________. Plz help! Ill be giving extra points How many square inches of sheet metal are used to make the vent transition shown? (The ends are open.) This year, a small business had a total revenue of $42,900 . If this is 35% less than their total revenue the previous year, what was their total revenue the previous year? The cars get miles to the gallon. After the car has traveled miles. 2 2/3 gallons of gas has been consummed Why was Abbas the Great like Sultan Suleiman?A. Both killed most of their sonsB. Both were not religiously tolerantC. Both failed to expand their empiresD. Both conquered Constantinople what is the difference between the electoral vote and the popular vote What number increased by 30% is 34.5 what are 3 distinguished sets of right that exist in any country? A.freedom,rules,regulation. B.customs,traditions,constitution. C.written rules,unwritten rules,human rights. D.human rights,rights to education,right to vote This is Spanish btw , Talking to a group of people you have never met before and want to be politeWhich one is the answer? A. TuB. EllasC. EllaD. Ellos E.ElF.VosotrosG.ustedesH.Usted