The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
<h3>How to solve the equation?</h3>
The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
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The answer is -15 if you want it solved
Answer:
1,000,000,000 identification numbers are possible.
Step-by-step explanation:
We are assigned a 9 digit identification number.
Each digit is a number from 0 to 9. So, each digit has 10 different choices.
Using the Fundamental Counting Principle (is better than the tree diagram) because it's simpler. To illustrate this, we can attempt to draw a tree diagram.
The first column will be the digits 0 to 9.
Then for each of those digits, we need another 0 to 9.
As you can imagine, the amount of numbers grow exponentially, so using the Fundamental Counting Principle is simpler.
And since we have a 9 digit identification number, with each digit having 10 choices, the total number of identification numbers possible are:
So, 1,000,000,000 identification numbers are possible.
Step-by-step explanation:
m<5 = 60 (<5 & 60deg < are vertical)
m<6 = 120 (<s 5 and 6 are a linear pair)
m<9 = 120 (<s 6 and 9 are vertical)
m<4 = 80 (<s 4 and 80 deg < are vertical)
m<7 = 100 (<7 and 80 deg < are linear pair)
m<10 = 100 (<s 7 and 10 are vertical <s)
m<8 = 60 (<s 5 and 8 are corresp <s)
m<3 = 80 (80 deg <3 are corresp <s)
m<2 = 40 (80 + 60 + m<2 = 180)
m<1 = 60 (<s 1 & 5 are alt int <s)