Answer:
Therefore, the probability is P=0.74.
Step-by-step explanation:
We know that Jose estimates that if he leaves his car parked outside his office all day on a weekday, the chance that he will get a parking ticket is 26%.
Therefore the probability that he will get a parking ticket is P1=0.26.
We calculate the probability that he will not get a parking ticket.
We get:
P=1-P1
P=1-0.26
P=0.74
Therefore, the probability is P=0.74.
The equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Given a quadratic function for the transformations given the function f(x) = x²
If the function g(x) of the graph is translated 4 units to the left, the equation becomes (x-4)² (note that we subtracted 4 from the x value
- Translating the graph 1 unit up will give the final function g(x) as (x-4)² + 1 (We added 1 since it is an upward translation.)
Hence the equation g(x) in vertex form of a quadratic function for the transformations whose graph is a translation 4 units left and 1 unit up of the graph of f(x) is (x-4)² + 1
Learn more here: brainly.com/question/15381183
Answer:
Step-by-step explanation:
Midpoints of two coordinates is expressed using the formula;
M(X, Y) = (x2+x1/2, y2+y1/2)
Given the coordinates c(5,3) and d(-3,-6)
x1 = 5, y1 = 3, x2 = -3 and y2 = -6
X = x1+x2/2
X = 5+(-3)/3
X = 5-3/2
X = 2/2
X = 1
Also;
Y = y1+y2/2
Y = 3+(-6)/2
Y = 3-6/2
Y = -3/2
Y = -1.5
Answer: B) increasing for x < -4/3 and x > 4/3
decreasing for -4/3 < x < 4/3
<u>Step-by-step explanation:</u>
Graph the equation and follow the curve from left to right. If you are going up, it is increasing. If you are going down, it is decreasing.
Refer to the image below. Red is increasing. Blue is decreasing.
The vertices are at: x = -4/3 and x = 4/3
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