<h2>
Hello!</h2>
The answer is:
A) The solution to the inequality is all the values of "x" less than -3.
<h2>Why?</h2>
To solve the problem, we must remember that isolating variables from inequalities and equalities are almost the same, however, we must remember that the solutions to both have completely different meanings.
Inequalities usually are used to express where a determined function exists, and are referred to restrictions or conditions.
So, we are given the following inequality:
Then, solving we have:
Hence, the solution to the inequality are all the values of "x" less than -3.
It can be also written like: (-∞,-3)
So, the correct option is the last graph:
A) The solution to the inequality is all the values of "x" less than -3.
Have a nice day!
Answer:
(x - 4)² - 11
Step-by-step explanation:
Given
x² - 8x + 5
To obtain the required form use the method of completing the square.
add/subtract ( half the coefficient of the x- term)² to x² - 8x
= x² + 2(- 4)x + 16 - 16 + 5
= (x - 4)² - 11
The lava has flowed for 7.25 years.
8•7.25+2=60
$1.29/(35 oz) = $0.043/oz
$1.20/(24 oz) = $0.05/oz
The 35-oz drink is a better buy.
I'm assuming you meant to say
P(A) = 2/3
P(A and B) = 1/3
If that is the case, then A and B are independent if and only if the following equation is true
P(A and B) = P(A)*P(B)
So we multiply P(A) and P(B) to get the value of P(A and B). We don't know what P(B) is, but we can use algebra to find it
-------------------------
P(A and B) = P(A)*P(B)
P(A)*P(B) = P(A and B)
(2/3)*P(B) = 1/3
P(B) = (1/3)*(3/2) .... multiply both sides by the reciprocal of 2/3
P(B) = (1*3)/(3*2)
<h3>P(B) = 1/2 is the answer</h3>
------------------------
If P(B) = 1/2, then
P(A and B) = P(A)*P(B)
P(A and B) = (2/3)*(1/2)
P(A and B) = (2*1)/(3*2)
P(A and B) = 1/3
Which is the given probability for both events happening. This confirms we have the correct P(B) value.
