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3 years ago

How to solve 2x(x+3)=2x^2+15

Mathematics

2 answers:

STALIN [3.7K]3 years ago

6 0

Step-by-step explanation:

2x^2 + 6x = 2x^2 + 15

2x^2-2x^2+6x=15

6x = 15

x= 5/2 when simplified

Travka [436]3 years ago

5 0

Answer: x = 5/2 = 2.5

Step-by-step explanation:

Given expression

2x (x + 3) = 2x² + 15

Expand parentheses and apply the distributive property

2x · x + 2x · 3 = 2x² + 15

2x² + 6x = 2x² + 15

Subtract 2x² on both sides

2x² + 6x - 2x² = 2x² + 15 - 2x²

6x = 15

Divide 6 on both sides

6x / 6 = 15 / 6

x = 15/6

$\boxed{x=\frac{5}{2} }$

Hope this helps!! :)

Please let me know if you have any questions

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Which equation represents a line that passes through two points in the table

Anvisha [2.4K]

C. y - 3 = 2/3(x-3)

Nothing much to do here except examine each equation and plug in the numbers to see if it's true.

a. y + 3 = 3/2(x+3)
Try 3,3
3 + 3 = 3/2(3+3)
6 = 3/2(6). And no need to go further, it's obviously not equal.

b. y - 3 = 3/2(x-3)
Try 3,3
3 - 3 = 3/2(3-3)
0 = 3/2(0). OK. Let's try 6,5
5 - 3 = 3/2(6-3)
2 = 3/2(3)
2 = 9/2 And it's not true, so check the next one.

c. y - 3 = 2/3(x-3)
Try 3,3
3 - 3 = 2/3(3-3)
0 = 0. Check 6,5
5 - 3 = 2/3(6-3)
2 = 2/3(3)
2 = 2. Good. Both sample points work. This is the correct answer.
Just to be sure, let's check the next option

d. y + 3 = 2/3(x+3)
Try 3,3
3 + 3 = 2/3(3+3)
6 = 2/3(6). And doesn't match.

6 0

3 years ago

3x + 2 = -55 i need all the steps

Paha777 [63]

Answer:

-19

Step-by-step explanation:

3x+2 = -55

-2 -2

3x = -55-2

3x = -55+-2

3x = -57

/3 /3

x=-19

4 0

3 years ago

Read 2 more answers

Tia cut 4 meter 8 centimeter wire into 10 equal pieces. Marta cut 540 centimeter wire into 9 equal pieces . How much longer is o

saveliy_v [14]

Answer:

19.2 centimeters

Step-by-step explanation:

Tia cut a 4 meter and 8 centimeter wire, converting this measure to centimeters

$4m + 8 cm = 400cm + 8cm =408 cm$

and she cut it into 10 equal pieces, thus each piece measures:

$\frac{408cm}{10}=40.8cm$ .

Martha has a wire of 540 centimeter wich she cutted into 9 equal pieces, so each piece measures:

$\frac{540cm}{9} =60cm$

The difference between the two wires is:

$60cm - 40.8cm=19.2cm$

7 0

3 years ago

I need answers for the question below to end a debate. Explain why that is the answer too.

IRINA_888 [86]

PEMDAS. Parenthesis comes first. 3+2 = 5 which is then multiplied to 6/2 which is 3 so 3 x 5 is 15.

7 0

3 years ago

Read 2 more answers

Hi. Please I need help with this :

ki77a [65]

Answer:

1.79553

Step-by-step explanation:

Step 1: Write expression

log₁₀(√(69.5² - 30.5²))

Step 2: Evaluate square root

log(√(4830.25 - 930.25))

log(√3900)

log(62.45)

Step 3: Find log

log₁₀ (or log)

log(62.45) = 1.79553

-------------------------------------

To use the table method. we find values that are easily evaluated by log₁₀

log₁₀(10) = 1

log₁₀(50) = 1.69897

log₁₀(100) = 2

So we know that log₁₀(62.45) is between 1 and 2 and greater that 1.69897.

3 0

3 years ago