Answer:

Step-by-step explanation:
we know that
When two lines are crossed by another line (transversal), the angles in matching corners are called Corresponding Angles.
When the line are parallel the corresponding angles are equal in measurement.
so
In this problem
-----> by corresponding angles
see the attached figure to better understand the problem
Solve for x
Subtract 50 both sides


Divide by 8 both sides


The <u>correct answer</u> is:
As x→-∞, y→-3.
As x→∞, y→∞.
Explanation:
As our values of x get further into the negative numbers, the value of 2ˣ will approach 0. This is because raising a number to a negative exponent "flips" the number below the denominator and raises it to a power; we end up with smaller and smaller fractions, eventually so small that they nearly equal 0.
This will make the value of the function 0-3=-3.
As x gets larger and larger (towards ∞), the value of y, 2ˣ, continues to grow as well. Since it continues to grow exponentially, we say the value approaches ∞.
Answer: 0.31
Step-by-step explanation:
Let A denotes the event that the students report drinking alcohol and B denotes the students report using some type of tobacco product .
Given : P(A) =0.84 ; P(B)=0.33 and P(A∪B)=0.86
We know that 
Then, the probability that the student both drunk alcohol and used tobacco in the past month is given by :-

Hence, the probability that the student both drunk alcohol and used tobacco in the past month = 0.31
Primeiro multiplica o -2 com tudo que tem dentro do parenteses (chuveirinho) -114 = -5x -2(4x+18)
-2 . 4x = -8x + -2 . 18 = -36 = -8x-36
Agora soma os números com incógnitas (no caso x)
-114 = - 5x - 8x -36
Joga a incógnita do outro, tornando positiva
-114 = -13x - 36
13x -114 = -36
e o 114 do outro lado, ficando positiva também
13x -114 = -36
13x = - 36 + 114
13x = 78
x = 78 /13
x= 6
ESPERO TER AJUDADO :)