If you apply "Shift 5 units to the right" and "Shift 4 units down." to the absolute value parent function, f(x) = 1x1 you have g(x)=|x+ 5| f(x) = |x|-4. Option A. This is further explained below.
<h3>What is a
function?</h3>
Generally, a function is simply defined as an expression, rule, or law in arithmetic that establishes a link between two variables.
In conclusion, The value is added to x well before the operator with a horizontal shift left.
Hence, f(x) = |x+5|
Because this is a downshift, the vertical movement will be beyond the bars for this function, Hence f(x) = |x|-4
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Answer:
0.2857
Step-by-step explanation:
We define the time it takes to do these dishes to be uniformly distributed between the time 5 minutes and 12 minutes.
a = 5 minutes
b = 12 minutes
Probability of tonight's dish washing being between 6 and 8 minutes
P(6<X<8)
= 8-6/b-a
= 2/12-5
= 2/7
= 0.2857
The probability it will be better 6 and 8 minutes is therefore 0.2857
We can find a formula for nth term of the given sequence as follows:
1, 5, 12, 22, 35
The 1st differences between terms:
4, 7, 10, 13
The 2nd differences :
3, 3, 3
Since it takes two rounds of differences to arrive at a constant difference between terms, the nth term will be a 2nd degree polynomial of the form: 
, where c is a constant. The coefficients a, b, and the constant c can be found.
We can form the following 3 equations with 3 unknowns a, b, c:
Solving for a, b, c, we get:
a = 3/2, b = -1/2, c = 0
Therefore, the nth term of the given sequence is:
The greatest common factor between these 2 numbers is 6
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