30 + 18x is equivalent to 6(5 + 3x)
This is equivalent because of the distributive property. Multiply 6 by 5 and 3x to get your answer!
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Answer:</u></h3>
Option: D
Horizontal stretching.
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Step-by-step explanation:</u></h3>
We have to find the effect on the graph of the function f(x)=2x when it is replaced by f(0.5 x).
We know that when a parent function f(x) is replaced by f(kx) then either the graph is stretched horizontally or shrinked horizontally.
if k>1 then the graph is shrinked horizontally.
if k<1 then the graph is stretched horizontally.
Hence here k=0.5<1 so the graph of the function is stretched horizontally.
Second answer
Step-by-step explanation:
Answer:
46 gallons
Explanation:
First, we need to calculate the area of the path. This area can be calculated as the difference between the area of the outer circle and the area of the inner circle. The area of a circle is equal to

Where r is the radius. For the outer circle, the diameter is 28 yd, so the radius is equal to
radius = diameter/2
radius = 28 yd/2
radius = 14 yd
Then, the area of the outer circle is

In the same way, the radius of the inner circle is
radius = diameter/2
radius = 18 yd/2
radius = 9 yd
Then, the area is

So, the area of the path is
Area path = 615.44 yd² - 254.34 yd²
Area path = 361.1 yd²
Now, we know that one gallon can cover 8 yd², so we can calculate the number of gallons as

Therefore, the number of gallons is 46 because we need to round the result to a whole number.