Answer:
0.514
Step-by-step Explantion:
Denominator = 500 = 2^2 * 5^3
257/500 = 257/2^2*5^3 = 2*257/2*2^2*5^3 = 514/2^3*5^3 = 514/(2*5)^3 = 514/10^3 = 0.514
<h2>
Answer:</h2>
Ques 1)

Ques 2)

<h2>
Step-by-step explanation:</h2>
Ques 1)
We know that if a graph is stretched by a factor of a then the transformation if given by:
f(x) → a f(x)
Also, we know that the translation of a function k units to the right or to the left is given by:
f(x) → f(x+k)
where if k>0 then the shift is k units to the left
and if k<0 then the shift is k units to the right.
Here the graph of f(x) is transformed into the graph of g(x) by a vertical stretch of 4 units and a translation of 4 units right.
This means that the function g(x) is given by:

Ques 2)
We know that the transformation of the type:
f(x) → f(x)+k
is a shift or translation of the function k units up or down depending on k.
If k>0 then the shift is k units up.
and if k<0 then the shift is k units down.
Here, The graph of the function f(x)=|3x| is translated 4 units up.
This means that the transformed function g(x) is given by:

i feel like u are going to delete this but if this helped please don't delete it the answer is, Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input.
Answer:
(3)11
Step-by-step explanation:
We are given that

We have to find the sum of positive roots of the equation.




Factor of 336
2,3,4,6,8,7,
Let x=2

x=2 is not the root of equation
x=-2

Hence x=-2 is the root of equation.
x+2 is a factor of equation.
x=3

Therefore, x=3 is the root of equation.






Positive roots are 3 and 8
Sum of positive roots=3+8=11
Option (3) is true.