Remember
(x^m)(x^n)=x^(m+n)
and
if a^m=a^n, where a=a then n=m
(x^4)(x^n)=x^5
(x^4)(x^n)=x^(4+n)
x^(4+n)=x^5
therefor
4+n=5
minus 4
n=1
The two positive numbers satisfying the given requirements are 15.56 and 15.56
For given question,
Let x and y be two positive numbers satisfying the given requirements.
⇒ xy = 242 .............(1)
The sum of given two positive numbers is a minimum.
Let the sum of given two positive numbers is S.
⇒ x + y = S ............(2)
From equation(1),
⇒ y = 242/x
Substitute above value of y in equation (2),
⇒ x + y = S
⇒ S = x + (242 / x)
Now, for above equation we find the derivative of x with respect to x.
⇒ 0 = 1 - 
⇒ 242/x² = 1
⇒ x² = 242
⇒ x = ±15.56
Since the numbers are positive, x = 15.56
For x = 15.56
⇒ y = 15.56
Therefore, the two positive numbers satisfying the given requirements are 15.56 and 15.56
Learn more about the equation here:
brainly.com/question/649785
#SPJ4
Answer:
Step-by-step explanation:
Total outcome is
3 + 6 + 8 + 11 + 14 + 16 + 15 + 12 + 9 + 5 + 1 = 100
Favorable outcome is
3 + 6 + 11 + 16 + 5 = 41
The percent probability is
41 / 100 = 41 %
Answer:
x = -1
x = -5
Step-by-step explanation:
y= (x+3)^2 - 4
(x + 3)^2 = x^2+6x+9
y = x^2 + 6x + 9 - 4
y = x^2 + 6x + 5
x^2 + 6x = -5
x^2 + 6x + 9 = -5+9 (6/2=3, 3^2 = 9) (add 9 to both sides)
(x + 3)^2 = 4
x + 3 = sqrt 4
x + 3 = +- 2
x + 3= 2. x = 2-3. x = -1
x + 3 = -2. x = -3-2. x = -5