Step-by-step explanation:
The scale factor is 12/6 = 10/5 = 2.
Answer:
g(x) = x^2/16
Step-by-step explanation:
To stretch a function horizontally by a factor of k, replace x with x/k.
You want a stretch factor of 4, so your function is ...
g(x) = f(x/4) = (x/4)^2
g(x) = x^2/16
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The attached graph shows the horizontal stretch.
Answer:
r=4
Step-by-step explanation:
Area of a circle is
A = pi* r^2
We know the area and 3.14 = pi
50.24 = 3.14 * r^2
Divide each side by 3.14
50.24/3.14 =3.14 /3.14 *r^2
16 = r^2
Take the square root of each side
sqrt(16) = sqrt(r^2)
4 =r
Answer:
The quantity of water drain after x min is 50
Step-by-step explanation:
Given as :
Total capacity of rain barrel = 50 gallon
The rate of drain = 10 gallon per minutes
Let The quantity of water drain after x min = y
Now, according to question
The quantity of water drain after x min = Initial quantity of water × 
I.e The quantity of water drain after x min = 50 gallon × 
or, The quantity of water drain after x min = 50 gallon × 
Hence the quantity of water drain after x min is 50
Answer
Answer:
{2, 6, 14}
Step-by-step explanation:
Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.
To get the range, we will substitute the values of the domain into the given function as shown;
when x = -1
f(-1) = 4(-1)+6
f(-1) = -4+6
f(-1) = 2
when x = 0
f(0) = 4(0)+6
f(0) = 0+6
f(0) = 6
when x = 2
f(2) = 4(2)+6
f(2) = 8+6
f(2) = 14
Hence the required range are {2, 6, 14}