The arch support of a bridge can be modeled by y=-0.00125x^2, where x and y are measured in feet. a) the width of the arch is 80
0 feet. Describe the domain of the function and explain. Find the height of the arch.
1 answer:
Answer:
The given function is
Which is a parabola concave down with vertex at the origin of the coordinate system.
If the width of the arch is 800 feet, that means 400 feet on negative side and 400 feet and positive.
The image attached shows the graph of this parabola, where you can see the points for each extreme of the arch.
Notice that each point of the base of the arch is at y = -200, that means the height of the arc is 200 feet.
Now, the domain for this function is all real numbers. The range for this function is all number least or equal than zero.
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Answer:
The positive numbers are 51 and 53
Step-by-step explanation:
Let first odd integer be x and another odd integer is (x+2).
According to the given condition,
The product of two positive consecutive odd integers is 2703 i.e.
x(x+2) = 2703
It is a quadratic equation. It can be solved as follows :
x = 51 and x = -53
Neglecting negative sign,
The first number = 51
Another number =(51+2) = 53
Hence, the positive numbers are 51 and 53.
Make use of prime factorizations:
Both terms have a common factor of :
- - -
The second one is not true! We can write
Both terms have a common factor of :
Since , and
, we'd still have to show that
is a multiple of 6. This is impossible, because
and there is no multiple of 2 that can be factored out.