The extraneous solution is x=-1 and x=-6
Step-by-step explanation:
Given the question as;

Eliminate the root in the left hand side

solve the quadratic equation by factorization
Find multiples of 6 that add up to 7-------- 1*6
Rewrite the equation as;
x²+7x+6=0
x²+6x+x+6=0
x(x+6) +1 (x+6) =0
(x+1)(x+6) =0
x+1=0
x=-1
or
x+6=0
x=-6
The roots are, x=-1, and x=-6
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Quadratic equations : brainly.com/question/1332667
Keywords : extraneous, solution
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Answer:
218.7 lb.
Step-by-step explanation:
We have been given that the weight of male american between the ages 18 to 25 is normally distributed, with mean of 162.7 lb and a standard deviation of 28 lb.
One definition of obesity states that a person is obese if the z-score of his or her weight is greater than 2.
We will use z-score formula to solve our given problem.
, where,
,
,
,
.
Upon substituting our given values in z-score formula we will get,

Now let us solve for x.
Upon multiplying both sides of our equation by 28 we will get,


Let us add 162.7 to both sides of our equation.


Therefore, the obesity threshold weight for a young adult American male is 218.7 pounds.
Answer:
1412.188832
Step-by-step explanation:
Answer:
x = 15
Step-by-step explanation:
3x - y = 30
Given;
y = 15
To find;
value of 'x'
Putting the value of y in the given equation;
3x - 15 = 30
3x = 30 + 15
3x = 45
x = 45/3
x = 15
Answer:
C. horizontal line that is 33.8 units
Step-by-step explanation:
We assume your equation should be ...

The largest denominator in this standard-form equation of an ellipse is under the y-term, so the major axis is vertical. The directrix will be a horizontal line.
The distance from the center to the directrix is always longer than the semi-major axis, so will be more than √169 = 13. This only leaves choice C.
__
If "c" is the center-to-focus distance, it will be the root of the difference of the denominators in the equation:
c = √(169 -144) = 5
For semi-major axis "a", the distance from the center to the directrix is ...
a²/c = (13²)/5 = 33.8 . . . . . matches choice C