Answer:
6/3=2
Step-by-step explanation:
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The unit rate is 9 miles per hour.
In order to find how much its unit rate will be you need to use this expression below.
<em>n = number of hours</em>
<em>m = number of miles </em>
m divided by n or <em>m/n</em>
In order to find how much does he travel in given hours see this below.
<em>n = number of hours</em>
<em>m = number of miles for 1 hour</em>
<em>nm or n * m</em>
Answer:
- vertical scaling by a factor of -4
- horizontal translation 5 units left
- vertical translation 11 units up
Step-by-step explanation:
We notice that the multiplier of the squared term in f(x) is 0.5; in g(x), it is -2, so is a factor of -4 times that in f(x).
If we scale f(x) by a factor of -4, we get ...
-4f(x) = -2(x -2)² -12
In order for the squared quantity to be x+3, we have to add 5 to the value that is squared in f(x). That is, x -2 must become x +3. We have to replace x with (x+5) to do that, so ...
(x+5) -2 = x +3
The replacement of x with x+5 amounts to a translation of 5 units to the left.
We note that the added constant after our scaling changes from +3 to -12. Instead, we want it to be -1, so we must add 11 to the scaled function. That translates it upward by 11 units.
The attached graph shows the scaled and translated function g(x):
g(x) = -4f(x +5) +11
Answer:
A is -8
B 27
x 3
y 6
z 12
step by step explanation: