Answer:
x = 28.
Step-by-step explanation:
1/2x - 12 = 12
Add 12 to both sides:
1/2x - 12 + 12 = 12 + 12
1/2x = 24
Now, to isolate x we multiply both sides by 2:
1.2 x * 2 = 24 * 2
x = 48.
Answer:
The coefficient of the squared expression in the parabola equation is 
Step-by-step explanation:
The equation of a parabola in its vertex form is:

Where the vertex of the parabola is the point (h, k)
a is the ceoficiente of the term to the square.
We need to find the equation of a parabola that has its vertex in the point:
(-5, -2)
So:

Therefore the equation is:

We know that the point (-4, 2) belongs to this parable. Then we can find the value of a by replacing the point in the equation of the parabola

Finally the coefficient is a = 4
Answer: 570
Step-by-step explanation:
Answer:
So, the probability is P=0.018.
Step-by-step explanation:
We know that Pedro drives the same route to work on Monday through Friday.
We know that there is a 55% chance that the light will be red.
We get that p=55%=0.55.
We conclude that the probability of not being a red light:
q=1-p=1-0.55=0.45.
We can calculate the probability that from Monday to Friday when Pedro goes to work there will be no red light, as follows:

So, the probability is P=0.018.