Answer:
1. parental function is g(x)=√x
2. parental function is g(x)=3√x
Step-by-step explanation:
1. To find the transformation, compare the function to the parent function and check to see if there is a horizontal or vertical shift, reflection about the x-axis or y-axis, and if there is a vertical stretch.
Parent Function: g(x)=√x
Horizontal Shift: None
Vertical Shift: Down 9 Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
2. Parent Function: g(x)=3√x
Horizontal Shift: Left 5 Units
Vertical Shift: Up 3 Units
Reflection about the x-axis: Reflected
Vertical Compression: Compressed
25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path. This can be obtained by considering this as a right angled triangle.
<h3>How fast is the tip of his shadow moving?</h3>
Let x be the length between man and the pole, y be the distance between the tip of the shadow and the pole.
Then y - x will be the length between the man and the tip of the shadow.
Since two triangles are similar, we can write

⇒15(y-x) = 6y
15 y - 15 x = 6y
9y = 15x
y = 15/9 x
y = 5/3 x
Differentiate both sides
dy/dt = 5/3 dx/dt
dy/dt is the speed of the tip of the shadow, dx/dt is the speed of the man.
Given that dx/dt = 5 ft/s
Thus dy/dt = (5/3)×5 ft/s
dy/dt = 25/3 ft/s
Hence 25/3 ft/s is speed of the tip of his shadow moving when a man is 40 ft from the pole given that a street light is mounted at the top of a 15-ft-tall pole and the man is 6 ft tall who is walking away from the pole with a speed of 5 ft/s along a straight path.
Learn more about similar triangles here:
brainly.com/question/8691470
#SPJ4
Fico is a credit score - true
Collin is not using credit responsibly.
I don't think my answer is correct but I hope it helped you :)
Answer:
One gallon for 20 miles.
Step-by-step explanation:
200 / 10 = 20
1 gallon = 20 miles
<em><u>Plz mark as brainliest if correct! Have a nice day!!!</u></em>
<em><u>-Lil G</u></em>