Answer:
a.12 hours
Step-by-step explanation:
12 am (00:00) represents midnight and 12 pm is noon (pm represents noon - after noon)so the time passes between 12 am to 12 pm is 12 hours
The mean price of the sunglasses is $17.
If you add up all the values, you will get a total of 136. Now, divide this total by the total number of values.
There are 8, so 136 divided by 8 is 17. That is the mean.
Answer:
x ∈ {-4, 2}
Step-by-step explanation:
The x-coefficient (+2) is the sum of the constants in the binomial factors of the equation, and the constant term (-8) is their product.
Since you're familiar with the divisors of 8, you know that the two factors of -8 that total +2 are -2 and +4. These are the constants in the binomial factors:
f(x) = x^2 +2x -8
f(x) = (x -2)(x +4)
The roots of f(x) are the values of x that make these factors be zero. They are x=2 and x=-4.
The roots of f(x) are -4 and 2.
_____
Above is the solution by factoring. We can also "complete the square" to find the roots. Anytime we're looking for roots, we want the values of x that make f(x) = 0.
x^2 +2x -8 = 0
x^2 +2x = 8 . . . . . add the opposite of the constant
x^2 +2x +1 = 8 +1 . . . . . add the square of half the x-coefficient: (2/2)² = 1
(x +1)² = 9 . . . . . . . . . . . write as squares
x +1 = ±√9 = ±3 . . . . . . take the square root
x = -1 ± 3 . . . . . . . . . . . subtract 1
The roots are x=-4, x=2.
Answer:
<h2>See the explanation.</h2>
Step-by-step explanation:
The given function g(x) is a continuous function, since, for any x we can find a real value of the function.
A. 
.
Since, m is a constant, which is not equals to 0, the above value of the differentiation of the function, will be negative.
For x = 1, the above value is 0, that is at x = 1, the function has either maximum value, or a minimum value.
B. As per the above information, we have get that for x = 1, 
.
Hence, the function's critical point's x coordinate is x = 1.
The x- coordinate of the given point is not dependent on m or n.
Hence, proved.
85 x 0.20= 17%
I hope that helped
