Answer:
16
Step-by-step explanation:
Adam is building birdhouses that requires i.e 0.5 feet long boards.
Now, he has an i.e. 8.25 feet longboard and wants to cut each 0.5 feet longboards.
We have to calculate the number of pieces of exactly 0.5 feet length that can be made from this 8.25 feet longboard.
Now,
So, there can be 16 whole board of exact length 0.5 feet. (Answer)
Answer:
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
Step-by-step explanation:
we have
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex is a minimum
The coordinates of the vertex is the point (h,k)
step 1
Find the vertex of the quadratic function
Factor the leading coefficient 2
Complete the square
Rewrite as perfect squares
The vertex is the point (-\frac{3}{4},-\frac{49}{8})
step 2
Find the x-intercepts (values of x when the value of f(x) is equal to zero)
For f(x)=0
take the square root both sides
therefore
The function f(x) is negative in the interval (-2.5,1)
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
see the attached figure to better understand the problem
