Answer:
v > -21
Step-by-step explanation:
-1/3v - 2 < 5
add 2
-1/3v < 7
multiply by -3
(if negative, switch sign)
v > -21
For this case , the parent function is given by [tex f (x) =x^2
[\tex]
We apply the following transformations
Vertical translations :
Suppose that k > 0
To graph y=f(x)+k, move the graph of k units upwards
For k=9
We have
[tex]h(x)=x^2+9
[\tex]
Horizontal translation
Suppose that h>0
To graph y=f(x-h) , move the graph of h units to the right
For h=4 we have :
[tex ] g (x) =(x-4) ^ 2+9
[\tex]
Answer :
The function g(x) is given by
G(x) =(x-4)2 +9
Answer:
y = -2x + 1
Step-by-step explanation:
So, first you can use rise over run between the two points to find the slope.
This will get you -6/3, which you can simplify to -2
Then, see where the y intercept is, which is at (0, 1)
The equation will be y = -2x + 1
Answer:
12
Step-by-step explanation:
560-500=60
60/500*100=12
We know that the perimeter is the all the sides added up together. Generally, you have

, where l is length and w is width.
For a square, all sides are of the same length, so you can write

, where x is any side.
If the smallest perimeter is 14, then

, so x is 3.5. If the largest perimeter is 72, then

, so x is 18.
Therefore, you have 3.5 ≤ x ≤ 18.