Answer:
The graph of given function is shown below.
Step-by-step explanation:
The absolute parent function is g(x)=|x|. The graph of parent function is a V-shape d and vertex of the function is origin.
The given function is
.... (1)
The vertex from of an absolute function is
.... (2)
where, a is a constant and (h,k) is vertex of the function.
From (1) and (2) we get
The value of a is -1. The value of a is negative it means the graph of parent function reflect across x-axis.
The vertex of the function is (0,-2). It means the graph of parent function shifts 2 units down.
The graph of given function is shown below.
Answer:
(5.33 + 2h) ≥ 7
h ≥ 0.835
Step-by-step explanation:
Let in the last two days Julian has to practice the drum for h hours each.
Then in two days, he has to practice 2h hours,
He has already practiced 
hours before those last two days.
Therefore, he has practiced this week by (5.33 + 2h) hours.
Now, given that Julian needs to spend at least 7 hours each week practicing the drums.
Hence, we can write the inequality
(5.33 + 2h) ≥ 7
⇒ 2h ≥ 1.67
⇒ h ≥ 0.835 hours
Therefore, Julian has to practice for 0.835 hours for the last two days of the week. (Answer)
Set it equal to each other. 3x-38+7x-95=47. 10x-133=47. 10x=180. X=18
Answer:
7.5kg
Step-by-step explanation:
Given that:
Monday:
Mass of sand = 24 kg
Mass of cement = 5 kg
Tuesday :
Mass of sand = 36 kg
Let mass of cement = c
Mass of cement required to make the same type of mortar mix
Mass of Sand = mass of cement
24kg = 5kg
36kg = c
By cross multiplication :
24 * c = 5 * 36
24c = 180
Divide both sides by 24
c = 180 / 24
c = 7.5 kg
Hence mass of cement required is 7.5 kg
Answer:
3x+2=16
Step-by-step explanation:
