Answer:
It is correct!!
Step-by-step explanation:
Answer:
The equation of the parabola is
, whose real vertex is
, not
.
Step-by-step explanation:
A parabola is a second order polynomial. By Fundamental Theorem of Algebra we know that a second order polynomial can be formed when three distinct points are known. From statement we have the following information:
,
, 
From definition of second order polynomial and the three points described above, we have the following system of linear equations:
(1)
(2)
(3)
The solution of this system is:
,
,
. Hence, the equation of the parabola is
. Lastly, we must check if
belongs to the function. If we know that
, then the value of
is:


does not belong to the function, the real point is
.
Answer:
135 ft^2.
Step-by-step explanation:
The total surface area
= 2 * area of the triangular sides + area of the 3 rectangular sides
= 2 * 1/2 * 2.5*6 + 8*6 + 8*6.5 + 8*2.5
= 135 ft^2.
Answer:
<em>X ball bearings will be made in 1 hour and 20 minutes</em>
Step-by-step explanation:
<u>Proportions
</u>
The proportions give us an important tool to easily solve common problems of any type. We know that:
Company ABC can make X ball bearings in 3 hours.
Company DEF can make X ball bearings in 4 hours.
Company GHI can make X ball bearings in 6 hours.
In one hour, each company can make
ABC: X/3 ball bearings
DEF: X/4 ball bearings
GHI: X/6 ball bearings
Working together, they can make
ball bearings. Operating
If they can make 3/4 of a ball bearing in one hour, then one complete ball bearing will need
hours to complete. It's equivalent to 1 1/3 hours or 1 hour and 20 minutes
X ball bearings will be made in 1 hour and 20 minutes
Answer:
it would be 12 inches because you add them