Answer:
(f - g)(x) = -x + 8
General Formulas and Concepts:
- Order of Operations: BPEMDAS
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 2x + 1
g(x) = 3x - 7
(f - g)(x) = f(x) - g(x)
<u>Step 2: Simplify</u>
- Set up: (f - g)(x) = (2x + 1) - (3x - 7)
- Distribute -1: (f - g)(x) = 2x + 1 - 3x + 7
- Combine like terms: (f - g)(x) = -x + 8
Answer:
45 km
Step-by-step explanation:
Let's review the scale factor of this problem.
1 cm = 10 km
This means that for every 1 cm of distance on the map, 10 km is represented in the real world. Because of this, we know that dividing the actual distance by 10 will give us the distance on the map.
Ex. 40 km in real world = 4 cm on map
So, we will use d to represent the actual distance.
d=distance in real world
Then, we will divide d by 10 and set it equal to 4.5, because that's the distance on the map.
d/10 = 4.5
Now to solve this equation, we just have to multiply both sides by 10.
d=45
This is your answer.
The standard deviation for the number of times an odd number is rolled is 15.8
<h3>How to determine the standard deviation?</h3>
The given parameters are:
Die = regular six-sided die
n = 1000
The probability of rolling an odd number is:
p = 1/2 = 0.5
The standard deviation is then calculated as;

This gives

Evaluate the products

Evaluate the root

Hence, the standard deviation is 15.8
Read more about standard deviation at:
brainly.com/question/16555520
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Answer:
It's Same perimeter only
Step-by-step explanation:
It can't be the other two because they don't share the same area