Answer:
a horizontal translation by 3 units left
Step-by-step explanation:
f(x)= |x|
we are given with absolute function f(x)
g(x) = |x+3|
To get g(x) from f(x) , 3 is added with x
If any number is added with x then the graph of the function move to the left
Here 3 is added with x, so the graph of f(x) moves 3 units left to get g(x)
So there will be a horizontal translation by 3 units
Answer:
multiply the cost by 0.18 to get the tip amount or multiply the cost by 1.18 to get the total including tip.
Step-by-step explanation:
Total distance walked by Tarik is 0.75 miles according to the given equation.
What is equation?
In arithmetic, an equation could be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
Given that
The expression that represents the Tarik's distance is
=> f(x) = 3∣x−0.5∣
And also given that at 7.15 am he is some distance away from the store
Let Tarik is 'a' miles away from the store at 7.15 am
The time taken to walk 'a' miles = 7.15 - 7.00 = 15 minutes
As we know 60 minutes = 1 hr
=> 15 minutes = 15/60 = 0.25 hrs
The given expression to find the Distance is
f(x) = 3 ∣x − 0.5∣ where x is number of hours
At x = 0.25
f(0.25) = 3 |0.25 - 0.5|
= 3 |- 0.25|
= 0.75 miles
Therefore,Tarik is 0.75 miles away from the store.
To know more about equation , visit:
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Answer:
Angle BPQ = 64°
Step-by-step explanation:
4x + 12 +2x = 90
6x + 12 = 90
- 12 -12
6x = 78
x = 13°
BPQ = ((4(13) + 12)°
(52 + 12)°
64°
Answer:
21.759
Step-by-step explanation:
Given that :
Mean (m) = 25
Standard deviation (s) = 12.5
Sample size (n) = 40
α = 90%
The confidence interval is obtained using the relation:
Mean ± Zcritical * s/sqrt(n)
Zcritical at 90% confidence interval = 1.64
25 ± 1.64 * (12.5/sqrt(40))
Lower boundary : 25 - 1.64(1.9764235) = 21.75866546
Upper boundary : 25 + 1.64(1.9764235) = 28.24133454
(21.759, 28.241)
Hence, lower bound of confidence interval is : 21.759
