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

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

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]

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:

askjdfhkajdshfjkhasdklfjhalkjdfhjkaldsfhlkjadhfklaf
asdkjfhaksjdfhkalsjf

Answers

Answer:

uh

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

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 :>

Graph x <3
Please help me

Answers

Answer:

Step-by-step explanation:

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.

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%.

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

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

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.

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

Answers

HL, it has those 90° angle signs

May I please receive help?

Answers

You got this bro why do u need our help for

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:

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!!

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

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.

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.

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

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:

300 milliliters per 'minute = ?
liters per hour

Answers

Answer:

300 millilters per min = 18 liters per hour

Step-by-step explanation:

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

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:

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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

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

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.

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

Answers

if any doubt leave a comment

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

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