Answer:


Step-by-step explanation:
Given



Required
Find P(A) and P(B)
We have that:
--- (1)
and
--- (2)
The equations become:
--- (1)

Collect like terms


Make P(A) the subject

--- (2)


Substitute: 
![[0.770 - P(B)] * P(B) = 0.144](https://tex.z-dn.net/?f=%5B0.770%20-%20P%28B%29%5D%20%2A%20P%28B%29%20%3D%200.144)
Open bracket

Represent P(B) with x

Rewrite as:

Expand

Factorize:
![x[x - 0.45] - 0.32[x - 0.45]= 0](https://tex.z-dn.net/?f=x%5Bx%20-%200.45%5D%20-%200.32%5Bx%20-%200.45%5D%3D%200)
Factor out x - 0.45
![[x - 0.32][x - 0.45]= 0](https://tex.z-dn.net/?f=%5Bx%20-%200.32%5D%5Bx%20-%200.45%5D%3D%200)
Split

Solve for x

Recall that:

So, we have:

Recall that:

So, we have:


Since:

Then:


Step-by-step explanation:
help with what , you didnt attach anything ?
Answer:
2
Step-by-step explanation:
= 4+8/2×(6-3)
= 12/2×6-2×3
= 12/12-6
= 12/6
= 2
Answer:
<u>Use 2 points from he table to find the slope of f(x):</u>
<u>The slope is:</u>
The y - intercept is b = -1 according to point (0, -1).
<h3>Part A</h3>
<u>The lines are:</u>
- f(x) = 8x - 1
- g(x) = 3x - 2
The f(x) has greater slope since 8 > 3 and greater y-intercept since -1 > - 2.
<h3>Part B</h3>
See above