Answer:
y = 2x
Step-by-step explanation:
Given y is directly proportional to x then the equation relating them is
y = kx ← k is the constant of proportion
To find k use the condition when x = 4, y = 8, that is
8 = 4k ( divide both sides by 4 )
2 = k, thus
y = 2x ← equation of proportion
For this case we have the following inequality:
Solving for the numerator we have:
Solving for the denominator we have:
Therefore, the solution is given by:
The graph that shows this solution is the graphic number 3.
Answer:
option 3
Answer:145
Step-by-step explanation:x-5+3x+25=180
4x+20=180 4x=160 x=40. <k=120+25=145
Answer:
A function can have many x values for a given y value and still be a function but it cannot have many y values for a given x value. You can easily test this by graphing the equation and doing the vertical line test by seeing if a vertical line will intersect the graph only once at all x values, if it passes it is a function. In short what you have here is a function
Step-by-step explanation:
The perimeter = 4 * length of a semicircle of radius 5 == 4* pi * 5 = 20 pi cm
The area of one of the clear parts = 1/2 area of square - area semicircle
= 1/2 * 10^2 - 1/2 pi *5^2 = 50 - 12.5pi
So area of shaded parts = area of square - 4 (50 - 12.5pi)
= 100 - 200 + 100pi = (100pi - 100) cm^2