Largest 5-digit number is 54312 and is divisible by 6. The smallest 5 digit number is 12,345 and it's not divisible by 6
Hello!
x² - 4x + 6 = 9 <=>
<=> x² - 4x + 6 - 9 = 0 <=>
<=> x² - 4x - 3 = 0 <=>
<=> x = -(-4)±√(-4)²-4×1×(-3)/2×1 <=>
<=> x = 4±√16+12/2 <=>
<=> x = 4±√28/2 <=>
<=> x = 4±2√7/2 =>
=> x = 4+2√7/2 and x = 4-2√7/2 =>
=> x = 2+√7 and x = 2-√7
The equation has two solutions.
Good luck! :)
Answer:
The probability of getting x correct answers is given by
and P(X < 4) = 0.1061
Step-by-step explanation:
We have
trials, each with probability of success given by
. Let X be the random variable that represents the number of correct answers gotten by random guesses, then, X has a binomial distribution, and so,
, and
, this is the probability that the number x of correct answers is fewer than 4.
Answer:
and ![f^{-1}(x)= - \sqrt{x+25}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%20-%20%5Csqrt%7Bx%2B25%7D)
Step-by-step explanation:
To find the inverse, we will set f(x) equal to y, swap the x and y values, and then solve for y.
Given:
f(x) = x² - 25
Equal to y:
y = x² - 25
Swamp x and y values:
x = y² - 25
Add 25 to both sides of the equation:
y² = x + 25
Square root both sides of the equation:
and ![y= -\sqrt{x+25}](https://tex.z-dn.net/?f=y%3D%20%20-%5Csqrt%7Bx%2B25%7D)
Interval notation:
![f^{-1}(x)= \sqrt{x+25},\text{and}\;f^{-1}(x)= -\sqrt{x+25}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D%20%20%5Csqrt%7Bx%2B25%7D%2C%5Ctext%7Band%7D%5C%3Bf%5E%7B-1%7D%28x%29%3D%20%20-%5Csqrt%7Bx%2B25%7D)
-1 / 4 is -0.25 it is the same as 1/4 but with a negative sign