The last image is the graph of
In fact, it is an increasing exponential function, and it passes through the points , which reflects the fact that and , which reflects the fact that .
Now, is a child of the parent function we just described. Precisely, it is the result of the transformation
In general, every time you perform a transformation like , you translate the graph horizontall, k units to the left if k is positive, and k units to the right if k in negative.
Since in this case , we have a horizontal translation of 4 units to the right.
So, the correct option is the third one, because:
- The first graph is the parent function translated 4 units to the left
- The second graph is the parent function translated 4 units down
- The third graph is the parent function translated 4 units to the right
- The fourth graph is the parent function
Answer:
3.74
Step-by-step explanation:
To find the answer you must divide 374 by 100 which equals 3.74
So, since we know what is y= to. we are going to plug in that equation for y I n the 2nd equation.
for example:
y=3/4x+5
4x-3(3/4x+5)= -1
4x-9/4x+15=-1
16/4x-9/4x=-16
5/4x=-16
multiply by the reciprocal on both sides toget x.
4/5(5/4x)= (-16)4/5
x= -64/5 = -12 and 4/5ths
Answer:
(a)
(b) units.
(c) m = 10 units
Step-by-step explanation:
Force (F), mass (m) and acceleration (a) are related by the equation F = ma.
(a) We have to solve this equation for a.
So, F = ma ........ (1)
⇒ ..... (2) (Answer)
(b) If F = 1 units and m = 5 units, then from equation (1), we get
units. (Answer)
(c) If F = 25 units and a = 2.5 units.
Then from equation (1), we get,
units. (Answer)