Answer:
-4
Step-by-step explanation:
- y = 3(x+5)²-4
- y= 3(x²+10x+25)-4
- y= 3x²+30x+75-4
- y= 3x²+30x+71
Derivate the function
solve the equation y'= 0
- y'= 6x+30
- 6x+30= 0
- 6x= -30
- x = -5
The extrme value of y is reached in -5
y = 3(-5+5)²-4= -4
1) first pick red 5/9 blue 4/9
2) second pick when red has been picked red now becomes 4/8, blue stays 4/8
2) Second pick when blue has been picked blue now becomes 3/8, red stays 5/8
Mind you, you only need both different colours so:
first pick red 5/9 x sec pick blue 4/8 = 20/72
and first pick blue 4/9 x sec pick red 5/8 = 20/72
add both up 20/72 + 20/72 = 40/72 = 5/9
A function and its inverse are reflected over the line y = x. To graph a function and its inverse, all you have to do is graph the function and then switch all x and y values in each point to graph the inverse.
X = 7
y = 10
x + y = 700
7x + 10y = 6400
10x + 10y = 7000
(-) 7x + 10y = 6400
______________
3x = 600
x = 200
200 + y = 700
y = 500
Answer:

Step-by-step explanation:
we know that
The surface area of the figure is equal to the lateral face of the triangular pyramid plus the lateral face of the rectangular prism plus the area of the base of the rectangular prism
step 1
Find the lateral face of the triangular prism
The lateral area is equal to the area of its four lateral triangular faces

step 2
Find the lateral area of the rectangular prism
The lateral area is equal to the perimeter of the base multiplied by the height

step 3
Find the area of the base of the rectangular prism

step 4
Find the surface area
