The slope of the line is 1/3and the y-intercept is at the (0, 2) as shown in the graph below.
<h3>Graph of a linear function</h3>
A linear function is a function that has a leading degree of 1. The standard equation for a linear function is expressed as:
y = mx + b
where
m is the slope which is equal to the rate of change of y coordinate to x-coordinates.
b is the y-intercept
Given the following equation
y= 1/3x + 2
The slope of the line is 1/3 and the y-intercept is at the(0,2) as shown in the graph below.
Learn more on equation of a line here: brainly.com/question/13763238
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Answer: Choice D) |K| = 57
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Explanation:
The notation |K| means "the number of items in set K". It is similar to the notation n(K). In this case, we simply add up all the values in the circle labeled K. There are four of these values which are 13, 8, 17, 19. Add up these values to get 13+8+17+19 = 57. So there are 57 items in set K.
Let the numbers be x and y
y=5x
y-x=236
5x-x=236
4x=236
x=59
5=5*59=295
Answer:
x=5, y=-2. (5, -2).
Step-by-step explanation:
2x+3y=4
3x+4y=7
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3(2x+3y)=3(4)
-2(3x+4y)=-2(7)
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6x+9y=12
-6x-8y=-14
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y=-2
2x+3(-2)=4
2x-6=4
2x=4+6
2x=10
x=10/2
x=5
The correct answer to this question would be answer choice B.
To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.
Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.
To find it, list out all of their factors:
56: 1, 2, 4, 7, 8 , 14, 28, 56
100: 1, 2, 4, 5, 10,20,25,50,100
Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25
