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Mars2501 [29]
3 years ago
9

Solve. x² + 6x + 9 = 12 (Choices in photo)

Mathematics
2 answers:
Irina18 [472]3 years ago
6 0
X^2 + 6x + 9 = 12

X^2 + 6x - 3 = 0

(-6 ± <span>√(6^2 - 4*1*-3) ) / 2

3 </span>± √(48) / 2<span>

</span>3 ± 4√(3) / 2

3 ± 2√(3)
jeyben [28]3 years ago
6 0
To solve this problem and to calculate the value of the variable "x", you must apply the following proccedure:

 1. You have the quadratic equation:
<span>
 x²+6x+9=12

 2. Then:

 </span>x²+6x+9-12=0
 x²+6x-3=0
<span>
 3. You must apply the quadratic formula, which is:

 (-b±√(b^2-4ac))/2a

 a=1
 b=6
 c=-3

 4. Then, the result is:

 x=-3</span>±2√3
<span>
 Therefore, the correct option is the first one: </span>x=-3±2√3
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A 100-point test contains a total of 20 questions. The multiple choice questions are worth 3 points each and the short response
Alex17521 [72]

Answer: 3x+8y=100

x+y=20

x=12

y=8

Step-by-step explanation: x would represent the number of multiple choice questions and y would represent the number of short response questions. the multiple choice questions were 3 points meaning that you need to find x. the short answer response questions were 8 points meaning you need to find y. altogether you need to get 100 points. for the second equation you have 20 questions that need to be both multiple choice and short response. therefore the second equation would be x+y=20. if you solved this, the answer would be that x equals 12 and y equals 8. hope this helped! :))

3 0
3 years ago
3 1 8 5 7 2 1 6 find the mode
Genrish500 [490]

Answer:

1

Step-by-step explanation:

Mode is 1 as 1 has repeated the most number of times

7 0
3 years ago
Read 2 more answers
Check whether the given number is a solution of the equation or inequality. 9+4y=17;1
uranmaximum [27]

Answer:

9 + 4(1) \neq \\ 17

Step-by-step explanation:

to satisfy inequality

9 + 4(1) < 17

13 < 17

6 0
2 years ago
A vet borrows $12,000 for 4 years. The total interest paid was $875. What was the interest rate on the loan?
lina2011 [118]
They paid $218.75 every year as an interest rate.
8 0
3 years ago
Helppppppppppppppppppppppppppp
zalisa [80]

You must simplify the expresision given, as it is shown below:


 1. The exponents can be simplify if they are divisible between index 4 of the root. So, let's decompose the number 144:


 144=(2˄4)(3˄2)


 2. Now, you have to divide the exponents between index 4.When you do this, you obtain:


 [(144)(a˄12)(b˄3)]˄1/4

 [(2˄4)(3˄2)(a˄12)(b˄3)]˄1/4

 2a˄3[(3˄2)(b˄3)]˄1/4

 2a˄3(9xb˄3)˄1/4


 Then, the correct answer is the first option:  2a˄3(9xb˄3)˄1/4 

<span>
</span>
5 0
3 years ago
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