Let their ages be g and k. Then g = k + 3.
Next: (g+7) + (k+7) = 41.
Substituting k + 3 for g in the above equation, we get k + 3 + 7 + k + 7 = 41.
Combining like terms: 2k + 17 = 41. Then 2k = 24, and k = 12.
Kevin is 12 years old and Greg is 15 years.
The parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.
<h3>What is the parabola?</h3>
It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The equation of a quadratic function, of vertex (h, k), is given by:
y = a(x – h)² + k
where a is the leading coefficient.
The equation of the parabola will be
y = -x²
The given parabola is a downward parabola which is passing through origin and leading coefficient of the negative 2.
The graph of the function is given below.
More about the parabola link is given below.
brainly.com/question/8495504
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Answer:
The machine can make 24 bottles of soda per minute
Step-by-step explanation:
Looking at the graph of the relationship, we can see that the number of bottles per minute simply represent the slope of the line
Thus, by calculating the slope using the given points, we can have the number of bottles per minute
We have the formula as;
m = (y2-y1)/(x2-x1)
(x1,y1) = (4,96)
(x2,y2) = (6,144)
m = (144-96)/(6-4) = 48/2 = 24
Answer:
6 square units is the answer