Answer:
slope = 2
Step-by-step explanation:
To find the slope, we need to read 2 points off the graph.
Where the line crosses the y-axis, the point is (0, 2.5).
The next point up on the line looks like (1, 4.5).
slope = m = (difference in y)/(difference in x)
To find the difference in y and difference in x, subtract the y-coordinates and the x-coordinates, respectively, in the same order.
difference in y = 4.5 - 2.5 = 2
difference in x = 1 - 0
slope = m = (difference in y)/(difference in x) = 2/1 = 2
Answer:
Step-by-step explanation:
Part A
9x^2 + 24x + 16
= (3x + 4)(3x + 4)
length of each side = 3x + 4 units.
Par B
16x^2 - 25y^2
= (4x + 5y )( 4x - 5y)
length = 4x + 5y and width = 4x - 5y
Tina should buy 6 packs of aa batteries and 2 packs of d batteries. the cost of each is given as.
6 packs of aa batteries = 6x3 = $18
2 packs of d batteries = 2x4 = $8
total cost = 18 +8 = $26
and aa batteries pack are 3 times greater than d batteries.
Answer:
a
The average cost is 
b
The standard deviation of cost is
Step-by-step explanation:
From the question we are told that




The cost of replacing the two component is C = 50 + 2 X + 4 Y
The variance of X is mathematically represented as
V(X) =
Substituting values
![V[X] = 24 - 4^2](https://tex.z-dn.net/?f=V%5BX%5D%20%3D%20%2024%20-%204%5E2)
![V[X] =8](https://tex.z-dn.net/?f=V%5BX%5D%20%3D8)
The variance of Y is mathematically represented as
V(Y) =
Substituting values
![V[Y] = 8 - 2^2](https://tex.z-dn.net/?f=V%5BY%5D%20%3D%20%208%20-%202%5E2)
![V[X] =4](https://tex.z-dn.net/?f=V%5BX%5D%20%3D4)
The average of replacing the two component is

substituting value


The variance of replacing the two component is
Note: The variance of constant is zero
and X and Y are independent
=> 
substituting values
=>
=>
=> 
The standard deviation is
substituting values