The answer
the full the question is as follow:
<span>Which of the following is an extraneous solution of (45 - 3x)^1/2 =x -9
for solving such an equation, this is the method:
finding the squared value of each member of the equation
</span>[(45 - 3x)^1/2 ]² = (x -9)² (E)
<span>
extend each value of the member
</span>[(45 - 3x)^1/2 ]² = 45 - 3x, because (sqrt a )² = a
the condition is 45 - 3x≥0 ( because of the square root)
it means - 3x≥ -45 and x ≤ 15
(x -9)² = x²-18x + 81
<span>
so </span>45 - 3x = x²-18x + 81, this is equivalent to x² - 15x +36 =0
<span>
this equation should solve for x, for finding the help
Delta = 15² - 4*36 = 81, so x = - (-15) - sqrt (81) / 2 *1=15-9 /2= 3
and </span>x = - (-15) +sqrt (81) / 2 *1= 15 +9/2= 24/2=12
<span>
for x= 12, the equation given above ( equation E) has no solution, because
we can find 3=9
so </span><span>an extraneous solution is x = 12</span><span>
</span>
Complete question is;
Henri conducts an experiment to determine who likes peanut butter more: boys or girls. He has 25 girls and 25 boys taste some peanut butter and then rate it on a scale of 1 - 10 with 1 being cannot stand and 10 being tastes delicious. He finds that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5. Which statement is true?
A) On average, girls like peanut butter more than boys.
B) The person who rated peanut butter the worst was a boy.
Reactivate
C) Girls varied more in how they liked peanut butter than the boys did.
D) There is not enough information to know if any of the above are true
Answer:
Option C) Girls varied more in how they liked peanut butter than the boys did.
Step-by-step explanation:
From the options the most appropriate will be option C which says: Girls varied more in how they liked peanut butter than the boys did..
This is because in the experiment, henri found out that the girls had a mean of 7 with a range of 9 and the boys had a mean of 8 with a range of 5.
The range of the girls responses are far higher than that of the boys.
So it means their ratings were more varied and not within similar ratings scale.
Answer:
30 percent
Step-by-step explanation:
Answer:
ill take the other half :>
Step-by-step explanation:
Answer:
X>2
Step-by-step explanation:
X+5>7
X>2
