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TiliK225 [7]
3 years ago
15

If 2x^2+2x=12, what is x?

Mathematics
2 answers:
Rainbow [258]3 years ago
5 0

Answer:

x= 2

x= -3

Step-by-step explanation:

<u>Solving as normal quadratic equation:</u>

  • 2x^2+2x=12
  • x^2 +x = 6
  • x^2 + x - 6= 0
  • x = (-1 ± √(1+4*1*6)/2
  • x = ( - 1 ± √25)/2
  • x = (-1 ± 5)/2
  • x= 2
  • x= -3

<u>Roots are</u> 2 and -3

Ber [7]3 years ago
3 0

Answer:

<h3>x = - 3 or x = 2</h3>

Step-by-step explanation:

2x² + 2x - 12 = 0

Divide all the terms by 2 to simplify the terms

That's

x² + x - 6 = 0

<u>Write x as a difference</u>

That's

x² + 3x - 2x - 6 = 0

<u>Factor x out of the equation</u>

That's

x( x + 3) - 2x - 6 = 0

<u>Factor out - 2 from the expression</u>

x(x + 3) - 2( x + 3) = 0

<u>Factor out x + 3 from the expression</u>

That's

( x + 3)(x - 2) = 0

<h3>x + 3 = 0 x - 2 = 0</h3>

<h3>x = - 3 x = 2</h3>

Hope this helps you

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3 chairs and 5 tables cost Rs 7540 .if the price of a chair is Rs 220 , find the price of a table .
Kay [80]

Answer:

Given - 3 chairs + 5 tables = 7540 rs

TO find - Price of table

Solution -

Price of chair is Rs 220 ( given)

1 chair = 220

3 chairs = ?

3 × 220

660 Rs

660 rs + 5 tables = 7540 rs

5 tables = 7540 - 660

5 tables = 6880

1 table = 6880/5

= 1376 rs

Price of 5 Table is 6880 and 1 table = 1376 rs

5 0
3 years ago
Read 2 more answers
Factor f(x) = 15x^3 - 15x^2 - 90x completely and determine the exact value(s) of the zero(s) and enter them as a comma separated
Illusion [34]

Answer:

x=-2,0,3

Step-by-step explanation:

We have been given a function f(x)=15x^3-15x^2-90x. We are asked to find the zeros of our given function.

To find the zeros of our given function, we will equate our given function by 0 as shown below:

15x^3-15x^2-90x=0

Now, we will factor our equation. We can see that all terms of our equation a common factor that is 15x.

Upon factoring out 15x, we will get:

15x(x^2-x-6)=0

Now, we will split the middle term of our equation into parts, whose sum is -1 and whose product is -6. We know such two numbers are -3\text{ and }2.

15x(x^2-3x+2x-6)=0

15x((x^2-3x)+(2x-6))=0

15x(x(x-3)+2(x-3))=0

15x(x-3)(x+2)=0

Now, we will use zero product property to find the zeros of our given function.

15x=0\text{ (or) }(x-3)=0\text{ (or) }(x+2)=0

15x=0\text{ (or) }x-3=0\text{ (or) }x+2=0

\frac{15x}{15}=\frac{0}{15}\text{ (or) }x-3=0\text{ (or) }x+2=0

x=0\text{ (or) }x=3\text{ (or) }x=-2

Therefore, the zeros of our given function are x=-2,0,3.

7 0
4 years ago
Pls answer these questions .​
Agata [3.3K]

Answer:

1. PQ

2. PR

3. OR/OP

4. OR/OP

5. RO

Step-by-step explanation:

3 0
2 years ago
Answer these please!!!!!
garik1379 [7]
4.
-3/4 - 2/3 ÷ (-4/5)
= -3/4 - [2/3 ÷ (-4/5)]
{switch the numerator and denominator when changing from ÷ to ×, or × to ÷}
= -3/4 - [2/3 × (-5/4)]
{numerator × numerator, and denominator × denominator}
= -3/4 - [-10/12]
= -3/4 + 10/12
= -9/12 + 10/12
= 1/12

5.
-2 2/5 + (-2 4/5) × 4/7
= -2 2/5 - (2 4/5 × 4/7)
= -12/5 - (14/5 × 4/7)
= -12/5 - (56/35)
{Simplify fraction to make denominators same}
= -12/5 - (8/5)
= -20/5
= -4/1
= -4

6.
-(-3/5) - 1 3/7 ÷ (-5/14)
{Negative signs cancelled out, fractions compounded}
= 3/5 - 10/7 ÷ (-5/14)
{Switch numerator and denominator when switch from ÷ to ×}
= 3/5 - [10/7 × (-14/5)]
= 3/5 - [-140/35]
= 3/5 + 20/5
= 23/5
{Simplify fraction}
= 4 3/5

Hope this helps! :) You may ask me for more help if you need
3 0
3 years ago
Walter took out a $6,000 loan for six years. He is being charged 6 percent interest, compounded annually. Calculate the total am
cluponka [151]

Answer:

  $8511.11

Step-by-step explanation:

Each year, the amount Walter owes is multiplied by 1.06, so at the end of 6 years, Walter owes 1.06^6 times the amount he borrowed.

  he will pay $6,000×1.06^6 ≈ $8511.11

_____

At the end of the first year, Walter owes the original loan amount plus 6% interest. That total is ...

  $6000 + 0.06×6000 = $6000×1.06

At the end of the following year, he owes 1.06 times that amount, or ...

  6000×1.06²

The amount owed is multiplied by 1.06 each year until Walter pays off the loan.

8 0
3 years ago
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