Answer:
$65m + 125 = 1165
Step-by-step explanation:
Answer:
f(g(2)) = 22
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x + 1
g(x) = 2x² - 1
<u>Step 2: Find g(2)</u>
- Substitute: g(2) = 2(2)² - 1
- Evaluate: g(2) = 2(4) - 1
- Multiply: g(2) = 8 - 1
- Subtract: g(2) = 7
<u>Step 3: Find f(g(2))</u>
- Define: g(2) = 7
- Rewrite: f(7)
- Substitute: f(7) = 3(7) + 1
- Multiply: f(7) = 21 + 1
- Add: f(7) = 22
And we have our final answer!
Answer:
62, 3.2, 2.51, 0.57, 0.54
Step-by-step explanation:
3x+50=6x-10
50=3x-10
60=3x
x=20
Answer:
8 more widgets
Step-by-step explanation:
<u>Monday:</u>
t hours work AT w widgets per hour
So,
total number of widgets = wt
<u>Tuesday:</u>
2 fewer hours than monday, so
hours worked = t - 2
Per hour widget production is 4 more than Monday so:
per hour widget = w + 4
Total number of widgets = 
Monday he produced more, so amount more is:
![wt-[wt+4t-2w-8]\\wt-wt-4t+2w+8\\-4t+2w+8](https://tex.z-dn.net/?f=wt-%5Bwt%2B4t-2w-8%5D%5C%5Cwt-wt-4t%2B2w%2B8%5C%5C-4t%2B2w%2B8)
Given, w = 2t, we have:

Thus,
8 more widgets were produced