Answer:
The constant of proportionality is:
Step-by-step explanation:
We know that when y varies directly with x, we get
y ∝ x
y = kx
k = y/x
where 'k' is called the constant of proportionality
From the graph, it is clear that the point (2/5, 1/2) passes through the line which represents the direct relationship.
so we have the point (2/5, 1/2), and
x = 2/5
y = 1/2
so substituting x = 2/5 and y = 1/2 in the equation
k = y/x
k = [1/2] / [2/5]
k = [1 × 5 ] / [2 × 2 ]
k = 5/4
Therefore, the constant of proportionality is:
Answer:
Step-by-step explanation:
If the roots are 7 and 3, then x = 7 and x = 3 are solutions. In factor form, x = 7 is (x - 7); in factor form, x = 3 is (x - 3). We FOIL these together to get
which simplifies to
and we distribute in the 4:
to get
which is another way to write the last choice you're given.
Answer:
C. green is not a function, red is a function
Step-by-step explanation:
A curve does not describe a functional relationship if a vertical line crosses it in more than one place. Clearly the y-axis crosses the green curve in 2 places, so it is NOT a function.
There is a very steep section at x=10 on the red curve. It we assume it is simply "very steep" and not "vertical", then the red curve IS a function. If you assume that short section is vertical, then the red curve is not a function, either. My choice is to go with "very steep," not "vertical."
My conclusion is that green is not a function; red is a function.
Area of a square is ; 10 * 10 = 100
We have 2 squares so total is 200.
Area of a circle is pi* r^2 = 3.14 * 100 = 314
But we have quarter of a circle so area will be 314/4 = 78.5
Total area of the shape is 200 + 78.5 = 278.5
Answer:
x = 6
Step-by-step explanation:
Pardon the bad handwriting
