The equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
<h3>What is the Equation of a Linear Function?</h3>
Equation of a linear function, where m is the slope and b is the y-intercept, is expressed as y = mx + b.
Find the slope (m):
Slope (m) = change in y/change in x = (-7 -(-4)) / (3 - 2)
Slope (m) = -3/1 = -3
Find b by substituting m = -3 and (1, -1) = (x, y) into y = mx + b:
-1 = -3(1) + b
-1 = -3 + b
-1 + 3 = b
2 = b
b = 2
Substitute m = -3 and b = 2 into y = mx + b
y = -3(x) + 2
y = -3x + 2
Therefore, the equation that represents the linear function for the set of ordered pairs is: A. y = -3x + 2.
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Answer:
Mr Ronaldo paid $4,932 in income tax
Step-by-step explanation:
In this question, we are asked to calculate the amount Mr Ronaldo pays in income tax
To calculate this, we need to calculate 9% of his annual earnings
His income tax = 9/100 * 54,800
Income tax = $4,932
Answer:
5/32
Step-by-step explanation:
If a coin if flipped five times with four heads, then it has exactly one tail. The number of way to arrange four heads and one tail are as follows:
T H H H H
H T H H H
H H T H H
H H H T H
H H H H T
Essentially, there are five way because there are five "positions" where the tail could be.
Then, you need to find the total amount of possibilities for flipping a coin five times. Every time you flip it, there are two possibilities- heads and tails. Therefore, for five flips, the total amount of possibilities is
2x2x2x2x2 = 32
You know that
probability= # of desired outcome
----------------------------------
# of total outcomes
So the probablity is 5/32.
Answer:
1/3
Step-by-step explanation:
Fx=8(20) -10
fx= 160-10
answer= 150
