Determine the length of the longest metal rod which could be stored in a rectangle box 20 cm by 50 cm by 30 cm.
2 answers:
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Answer:
Shifted 5 unit right side then stretched vertically by the factor 100
Step-by-step explanation:
Here, parent function,
Transformed function,
Since, if a function f(x) gives cf(x), where c is any number,
Then the function was vertically stretched by factor c,
While, the function gives f(x-c),
Then the function was shifted c unit right.
Hence, the graph of was shifted 5 unit right side then stretched vertically by the factor 100 to create the graph of
For the red line, we have:
gradient (
) = 1/3
y-intercept = 3
Equation of straight line is given by
, where is the gradient and 
is where the line intercept the y-axis
So we have,
The shaded part is above the line, hence the first inequality is
The black line, we have
gradient,
= 3
y-intercept = -2
, rearranging gives
The shaded region is to the right of the line, hence the inequality is
Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>
gradient (
y-intercept = 3
Equation of straight line is given by
So we have,
The shaded part is above the line, hence the first inequality is
The black line, we have
gradient,
y-intercept = -2
The shaded region is to the right of the line, hence the inequality is
Note: The first option should be the correct answer but the inequality sign for <span>y > 1/3x + 3 should be </span>