The function is stretched vertically by a factor of 3.
The function shifts 2 to the right.
The function is moved 5 units up.
Explanation:
The parent function of the graph is 
The transformation for the parent function is given by 
Thus, the transformed function is in the form of 
where a is the vertical compression/stretch,
h moves graph to left or right and
k moves the graph up or down.
Thus, from the transformed function , we have,
The attached graph below shows the transformation of the graph that the graph is stretched vertically by a factor of 3 and shifted 2 units to the right and moved 5 units up.
Hence, The function is stretched vertically by a factor of 3.
The function shifts 2 to the right.
The function is moved 5 units up.
Answer:
x=5
Step-by-step explanation:
-5x+6(5x-18)=17
-5x+30x-108=17
25x-108=17
25x=17+108
25x=125
x=5
Answer:
Acute angle = 30°
Obtuse angle = 150°
Step-by-step explanation:
Method 1:
Let x represent the measurement of the obtuse angle
Obtuse angle = x
Acute angle = ⅕ of x = x/5
Thus:
x + x/5 = 180° (angels on a straight line)
Solve for x
(5x + x)/5 = 180
Multiply both sides by 5
5x + x = 180 × 5
6x = 900
x = 900/6
x = 150
Obtuse angle = 150°
Acute angle = x/5 = 150/5 = 30°
Method 2:
Since acute angle = ⅕ of the obtuse angle, therefore,
Obtuse angle = 5*acute angle
Let acute angle = x
Obtuse angle = 5x
Equation:
5x + x = 180° (angles on a straight line)
Solve for x
6x = 180
x = 180/6
x = 30
Acute angle = x = 30°
Obtuse angle = 5x = 5*30 = 150°
Answer: 27 dogs were seen at the clinic on monday.
27/45 = 0.6
0.6 = 60%
Answer:
They are Proportional because there will always be a 7 dollar difference
Step-by-step explanation:
Josh is paid 14
Tillery is payed 7$
The relation is proportional
Josh ||| Tillery
___________
14 ||| 7
16 ||| 9
18 ||| 11
20 ||| 13
