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kobusy [5.1K]
2 years ago
13

N

Mathematics
1 answer:
ZanzabumX [31]2 years ago
7 0

Answer:

x = 4 is the solution

Step-by-step explanation:

given  = x ( square both sides )

x + 12 = x² ( rearrange into standard form )

x² - x - 12 = 0 ← in standard form

(x - 4 )(x + 3 ) = 0 ← in factored form

equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

x + 3 = 0 ⇒ x = - 3

Insert these values into the original equation, and if both sides are equal, and those are the solutions.

x = 4 :  =  = 4 = x ← correct

x = - 3 :  =  = 3 ≠ - 3 ← false

the answer is x = 4

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(x + 4)(3x + 2) = ____________ 2. (3x – 1)(2x – 5) = ____________ 3. (5x + 2)(2x + 5) = ____________ 4. (4x – 1)(2x + 7) = _____
Sidana [21]

Answer:

Step-by-step explanation:

Use FOIL method

1) (x +4 )(3x +2) = x*3x + x*2 + 4*3x + 4*2

                        = 3x² + 2x + 12x + 8

                        = 3x² + 14x + 8

4) (4x - 1) (2x + 7) = 4x*2x + 4x*7 + (-1)*2x + (-1) * 7

                           = 8x² + 28x - 2x - 7

                            = 8x² + 26x - 7

6 0
2 years ago
What is the common denominator of 3 5 and 4 10
Ahat [919]

Answer:

3 and 5, 15; 4 and 10, 20

Step-by-step explanation:

The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.

5 0
3 years ago
Robin surveyed 5 students from the choirs of 4 different schools. He asked them how many hours they practice singing each day. S
Fittoniya [83]

Answer:

The highest would be the letter B and the lowest would be letter C if the pat is what you need to know.

Hope it helps :)

3 0
2 years ago
How do you solve this problem <br> 7= ln(x+5)
Gnesinka [82]
Answer:

x = 1091.63315843
<span>
Setting Up:

7 = ln ( x + 5 )

ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).

You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).

The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.

e^7 = x + 5

Solving</span>:

e = 2.71828182846

Natural logarithms are logarithms to the base of the constant 'e'.

e^7 = x + 5    ( simplify e^7 )

<span>1096.63315843 = x + 5
</span>
Subtract 5 from each side.

1091.63315843 = x


5 0
2 years ago
What is the value of x in the equation<br> 4z +16<br> 12<br> = х - 4?
Serhud [2]
<h3>Solution:</h3>

\frac{4x + 16}{12}  = x - 4 \\  =  > 4x + 16 = 12(x - 4) \\  =  > 4x + 16 = 12x - 48 \\  =  > 16 + 48 = 12x  - 4x \\  =  > 64 = 8x \\  =  > x =  \frac{64}{8}  \\  =  > x = 8

<h3>Answer:</h3>

x = 8

7 0
2 years ago
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