Answer:
$32.85
Step-by-step explanation: 9.5% of 30 is 2.85
30 + 2.85 = 32.85
Step-by-step explanation:
4x^2 - 20 = 5
4x^2 -25 = 0
4x^2 = 25
2x = 5, or -5
x = 5/2 , or -5/2
Answer:
True False True
Step-by-step explanation:
1. A circle has 360 degrees in its interior. 360 - 130 (this is given) degrees = 230 degrees. This means it's TRUE
2. The area of the shaded sector is the degrees in the central angle that contains the sector, multiplied by the area of the circle. This means that the area is pi*r^2*angle. The radius is 10, and the angle is 230 degrees, so the answer is 100*230/360 pi = 23000/360 pi, which simplifies to 575/9 pi. This is FALSE.
3. The area of the shaded sector is area of the circle - area of the shaded sector. The area of the circle is pi r^2, which is 100 pi. 100 pi - 575/9 pi = 325pi/9, so this is TRUE
Answer:
The graph of the function
has a minimum located at (4,-3)
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex of the parabola
If a > 0 the parabola open upward and the vertex is a minimum
If a < 0 the parabola open downward and the vertex is a maximum
In this problem
The coefficient a must be positive, because we need to find a minimum
therefore
Check the option C and the option D
Option C
we have

Convert to vertex form

Factor the leading coefficient





The vertex is the point (4,-3) ( is a minimum)
therefore
The graph of the function
has a minimum located at (4,-3)