Answer:
First differences means take the ordered pairs in increasing order for their x coordinates (assuming the x's go by ones), then subtract each y (except the last) from the y that comes after it. Keep doing that and you get the first differences. (The second differences would be what you get if you then subtract each of the first differences from the one that came after it (TMI probably but ...)
Say the points were (1,3), (2,7), (3,11) and (4,15). The first differences are
7-3 = 4
11-7 = 4
15 - 11 = 4 all 4. This would also be the slope. So that is the relationship - they are the same.
The probability that the randomly selected student chose running is; 12/57
<h3>Solving Probability Questions</h3>
Total number of students = 57
Total number of boys = 24
Total number of girls = 33
Number of Girls that chose football = 17
Number of boys that chose football = 14
Number of students that chose Tennis = 14
Now, number of students that chose running will be;
Number of students that chose running = 57 - (31 + 14) = 12
Thus, probability that a randomly selected student chose running = 12/57
Read more about probability selection at; brainly.com/question/251701
r = radius
Arc length = 2(3.14)r
7.9 cm = r
Plug our values in
Arc length = 2(3.14)(7.9 cm)
Arc length = 49.6 cm
First step is to factor. With a polynomial function in the form ax² + bx + c = f(x), we have to find what factors of term C have a sum of term B.
So with this, we need factors of -90 add up to become -1. Your factors are - 10 and 9.
f(x) = x² + 9x - 10x - 90
Now we group together and pull out GCFs.
f(x) = (x² + 9x) + (10x - 90)
f(x) = x(x² + 9) - 10(x + 9)
f(x) = (x - 10)(x + 9)
Now, set each factor equal to zero.
x - 10 = 0, x + 9 = 0
For the first equation you are going to add 10 to both sides to get x by itself. Subtract 9 from both sides in the second equation for the same reason.
x = 10, x = -9
Your zeros are at x = -9, 10 or at the ordered pairs (-9, 0) and (10, 0).
Answer:-27/7
Step-by-step explanation: