By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
<h3>What kind of function represents the graph?</h3>
Graphically speaking, <em>linear</em> functions represent lines and we see that the line seen in the figure presents two bounds, the points (- 6, 0) and (9, 7). <em>Linear</em> functions are characterized by slope and intercept:
y = m · x + b (1)
Slope
m = (7 - 0)/[9 - (- 6)]
m = 7/15
Intercept
b = 4
By definition of <em>linear</em> functions and the comparison with the attached figure, the function that represents the graph is y = (7/15) · x + 4, - 6 ≤ x ≤ 9.
To learn more on linear functions: brainly.com/question/14695009
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Answer:
- 3/4
- 4/13
- 7/26
- 2/13
- 5.52
Step-by-step explanation:
<u>(a)</u>
- Probability (A heart or a black card) = 13 + 26 / 52
- Probability (A heart or a black card) = 39/52
- Probability (A heart or a black card) = 3/4
<u>(b)</u>
- Probability (A heart or a jack) = 13 + 3 / 52
- Probability (A heart or a jack) = 16/52
- Probability (A heart or a jack) = 4/13
<u>(c)</u>
- Probability (A heart and the ace of clubs) = 13 + 1 / 52
- Probability (A heart and the ace of clubs) = 14/52
- Probability (A heart and the ace of clubs) = 7/26
<u>(d)</u>
- Probability (A 9 or a jack) = 4 + 4 / 52
- Probability (A 9 or a jack) = 8/52
- Probability (A 9 or a jack) = 2/13
<u>(e)</u>
- Probability (The 9 of hearts or a jack) = 1 + 4 / 52
- Probability (The 9 of hearts or a jack) = 5/52
Answer:
y=2x+8
Step-by-step explanation:
Alright so, to find the equation, we need to find the slope first. We can do that by turning the input and output into coordinates.
(1,10) and (2,12)
To find the slope, we do:
Which equals to 2
So right now we can say that the equation is:
y=2x+b
In order to find b, the constant, we just need to plug in the y values and x value of a coordinate:
10=2(1)+b
10=2+b
8=b
So now we can say that the equation is:
y=2x+8
The value of this equation is: 4
Answer: 4
