Answer:
A. Translation
Step-by-step explanation:
Given
Preimage
Image
Required
Which transformation occurred
The transformation that occurs is translation because each of the preimage were translated or shifter right by 8 units.
The rule applied here is:
So, we have:
<em>Hence, the transformation is (a) Translation</em>
Answer:
B.The exponent of the solution is –12, the difference of the original exponents.
C.The coefficient of the solution must be greater than or equal to one but less than 10.
D.The quotient is 3.0 ×
Step-by-step explanation:
Answer with explanation:
The equation, y=3 x,
y=Distance traveled
x =Total time
![\frac{\text{Distance traveled}}{\text{Time}}=\frac{y}{x}=3\\\\ \frac{dy}{dx}={\text{Rate of change}}={\text{Velocity}}=3 {\text{unit of time}]](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BDistance%20traveled%7D%7D%7B%5Ctext%7BTime%7D%7D%3D%5Cfrac%7By%7D%7Bx%7D%3D3%5C%5C%5C%5C%20%5Cfrac%7Bdy%7D%7Bdx%7D%3D%7B%5Ctext%7BRate%20of%20change%7D%7D%3D%7B%5Ctext%7BVelocity%7D%7D%3D3%20%7B%5Ctext%7Bunit%20of%20time%7D%5D)
Also, in terms of straight line
Slope =3= uniform Velocity
Point (3,9) and (5,15) represents Distance traveled in 3 (unit of time) =9 unit ,and 15 unit=Distance traveled in 5 (Unit of time).
→Alonso is moving with uniform speed=3 (unit of time), as velocity remains constant in the entire process.
To empty the pool, you need to lower the water level by 150cm. since you can only lower it by 30cm every 2 hours (also same as 15 cm per hour), that means it will take you 10 hours.
150cm*(2 hours)/(30cm) = 150*(1/15) = 150/15 = 10.
6 a.m. + 10 hours = 4 p.m.
So the answer is C.) 4 p.m.
Answer:
814.5 mg remain after 4 hours
Step-by-step explanation:
The multiplier of the original quantity is 1 -5% = 0.95 for each passing hour. The amount remaining after x hours is ...
y = 1000·0.95^x
For x=4, the amount remaining is ...
y = 1000·0.95^4 = 1000·0.81450625
y ≈ 814.5 . . . mg remain after 4 hours
