Answer:
The graph of y = f(x) will shift left 6 units, as shown in figure a.
Step-by-step explanation:
A translation means we are able to move the graph of a function up or down - normally called Vertical Translation - and right or left - commonly called Horizontal Translation.
If we replace the graph of y = f(x) with the graph of y = f(x + 6). It means we have added 6 units to the input, meaning the graph y = f(x) will shift left by 6 units as 6 is being added directly to the x, so it is f(x + 6).
For example, if y = x² is the original function and of 6 is directly added to x i.e. f(x + 6), making it y = (x + 6)². So, we can easily observe that there will be a horizontal translation left of 8 units, as shown in figure a.
So, the graph of y = f(x) will shift left 6 units.
Keywords: graph shift, translation
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The variance for this activity is mathematically given as
Var=0.026
<h3>What is the variance for this activity?</h3>
A data set's variance may be seen as a measurement of the spread that exists between the individual integers. When evaluating the asset allocation of a portfolio, investors employ an expression known as the variance equation.
After careful consideration of the table given in the question, we have that
Pessimistic time tp=2
optimistic time to=1
most likely time tm=1.5
Generally, the equation for variance is mathematically given as

Therefore

Var=0.026
In conclusion, the variance for this activity
Var=0.026
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It is Arithmetic. It follows a pattern of divide by 2, which gives it the name "Arithmetic" and you can think of it as "Arithmic," which sounds like rythm. It follows the rythm of Divide by 2. Hope this helps, and let me know if I made any mistakes!
Answer:
100 or 10²
Step-by-step explanation:
First, for this kind of question, we will use the Pythagorean theorem.
a² + b² = c²
--> 6² + 8² = 10²
----> 36 + 64 = 100
------> The length of hypotenuse c is 100
There are 13 green marbles in the bag.
Step-by-step explanation:
Total marbles = 18
Let,
Green marbles = x
Blue marbles = y
According to given statement;
The number of green marbles is 2 less than 3 times the number of blue marbles.
x = 3y-2 Eqn 1
x+y=18 Eqn 2
Putting value of x from Eqn 1 in Eqn 2;

Dividing both sides by 4

Putting y=5 in Eqn 1

There are 13 green marbles in the bag.
Keywords: linear equation, substitution method
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