Translation of a function y = h(x) to the right/left is given by y = h(x + a) for translation to the left by 'a' units and y = h(x - a) for translation to the right by 'a' units
Translation of a function y = h(x) up/down the y-axis is given by y = h(x) + a for translation 'a' unit up and y = h(x) - a for translation 'a' unit down
So, translating f(x) = x² eight units right and two units up gives:
g(x) = (x-8)² + 2
The equation of the line is
x
2
−x
1
x−x
1
=
y
2
−y
1
y−y
1
Here (−3,4)≡(x
1
,y
1
),(4,5)≡(x
2
,y
2
)
∴
4+3
x+3
=
5−4
y−4
⇒
7
x+3
=
1
y−4
⇒x+3=7(y−4)
⇒x+3=7y−28
⇒x−7y+3+28=0
⇒x−7y+31=0
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Answer:
0.2833 = 28.33% probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
In this question, we have that:
There are 300 students.
80 + 5 = 85 are not Actuarial statistics or data science majors. So
0.2833 = 28.33% probability that a student in the class chosen at random is neither an Actuarial Statistics nor a Data Science major
Answer:
the vertices of point R could be (-2,5) or (-2,9)
each point is 7 units away from Q since there are 7 units between P and Q
Step-by-step explanation:
Answer:
Just take the two zeros to 100
Step-by-step explanation:
