We look for the minimum of each function.
For f (x) = 3x2 + 12x + 16:
We derive the function:
f '(x) = 6x + 12
We match zero:
6x + 12 = 0
We clear the value of x:
x = -12/6
x = -2
We substitute the value of x in the equation:
f (-2) = 3 * (- 2) ^ 2 + 12 * (- 2) + 16
f (-2) = 4
For g (x) = 2sin(x-pi):
From the graph we observe that the minimum value of the function is:
y = -2
Answer:
A function that has the smallest minimum y-value is:
y = -2
Answer:
x = y = 14
z = 70
Step-by-step explanation:
As we can see from the markings, x = y
So we have an isosceles triangle in ABD
the sum of angles in a triangle is 180
52 + x + y = 180
x + y = 180-52
x + y = 28
so since x = y
x = y = 14
To get z, we have that;
52 + z + 14 + 44 = 180
z + 110 = 180
z = 180-110
z = 70
Standard form:
5,098,000
Scientific notation.
1) only 1 digit should be before the decimal point.
5.098000
2) only non-zero number must be part of the coefficient. the rest are included in the base of 10.
5.098 x 10^6 Choice D.
Exponent is the number of times the decimal moved from its original placement to its place after the 1st digit.
Convex Polygons

All of its angles are less than 180°.
All of the diagonals are internal.
Concave Polygons

At least one angle measures more than 180°.
At least one of the diagonals is outside the shape of the polygon.
Equilateral Polygons

All sides are equal.
Equiangular Polygons

All angles are equal.
Regular Polygons

They have equal angles and sides
Irregular Polygons
They do not have equal angles and sides.
Types of Polygons based on Number of Sides
Triangle

3 sides.
Quadrilateral

4 sides.
Pentagon

5 sides.
Hexagon

6 sides.
Heptagon

7 sides.
Octagon

8 sides.
Enneagon or Nonagon

9 sides.
Decagon

10 sides.
Hendecagon

11 sides.
Dodecagon

12 sides.
Tridecagon or triskaidecagon

13 sides.
Tetradecagon or tetrakaidecago

14 sides.
Pendedecagon

15 sides.
Hexdecagon

16 sides.
Heptdecagon

17 sides.
Octdecagon

18 sides.
Enneadecagon

19 sides.
Icosagon

20 sides.
The answer to the question is 12
