For the function whose graph is shown, the correct formula for the function would be option A; y = -2x+3.
<h3>What is the slope?</h3>
The slope is the ratio of the vertical changes to the horizontal changes between two points of the line.
Here, y-intercept is at positive 3,
so the value of b is +3
The line is going downward from left to right, so the slope will be negative.
The slope is defined as rise over run,
= 2/1, = 2,
So the "m" value is -2.
This will gives the functions equation to be
y = mx + b
y = -2x + 3.
Hence, For the function whose graph is shown, the correct formula for the function would be option A; y = -2x+3.
Learn more about slope here:
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Answer:
0.075
Step-by-step explanation:
You can do it the bus way method(on paper')
or use a calculator
hope this helped have a great day
Answer:
12(5+3)
Step-by-step explanation:
Again, <u>common </u>greatest number is 12. Just try out numers until its the highest common number.
60/12 = 5
36/12 = 3
so,
12(5+3)
Answer: choice A
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Work Shown:
P(TV) = (number who watch tv)/(number total)
P(TV) = 30/100
P(TV) = 0.30
P(Girl) = (number of girls)/(number total)
P(Girl) = 55/100
P(Girl) = 0.55
P(TV)*P(Girl) = 0.30*0.55 = 0.165 which rounds to 0.17
We'll use this value later. So let's call this M = 0.17
Look in the "girl" row and "tv" column. The value 17 is here.
This is out of 100 people total, so
P(TV and Girl) = 17/100 = 0.17
Call this value N = 0.17
Because M = N = 0.17 approximately, this means that the two variables "TV" and "Girl" are approximately independent
So the equation P(TV and Girl) = P(TV)*P(Girl) is approximately true in this example.
This points to choice A being the answer.
The correct question is contained in the first attached file.
Answer:
a) The trapezoidal rule answer
0.433490
b) The midpoint rule answer
1.186075
c) The Simpson's rule answer
1.106143
Step-by-step explanation:
These numerical methods are means of estimating definite integrals by finding the area under the curve of the function between two points.
a) The solution for the trapezoidal rule method is presented in the 2nd attached image to this solution.
b) The solution for the midpoint rule method is presented in the 3rd attached image to this solution.
c) The solution for the Simpson's rule method is presented in the 4th attached image to this solution.