Recall that

where
is the angle between the vectors
whose magnitudes are
, respectively.
We have


Answer:
look at the photo
Step-by-step explanation:
Since the inequality is already written in y=mx+b, you can easily graph the line. +3 is the y intercept, so one point would be (0,3). -2 resembles the slope, so diagonally to the left, you would go up 2 and across 1. Also, since the sign is "<" you would graph with a dotted line. Then to know which side to shade, I always use the coordinate (0,0). I plug in 0 for both x and y to see if (0,0) satisfies the inequality. In this case it does, so you would shade on the side where (0,0) is located.
Answer:
Sarah is paid $20 an hour at her new job. She wishes to graph her total pay y, as a function of the number of hours, x. She wants to be sure her graph shows her pay for 10 and 20 hours of work.
a. What is a good scale to use for the x-axis? Explain your reasoning.
b. What is a good interval to use for the y-axis? Explain your r
Step-by-step explanation:
Answer:
g(f(x)) = 6x - 14
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 3x + 1
f(x) = 2x - 5
<u>Step 2: Find</u>
- Substitute: g(f(x)) = 3(2x - 5) + 1
- Distribute 3: g(f(x)) = 6x - 15 + 1
- Combine like terms: g(f(x)) = 6x - 14