A recursive definition for the sequence shown above can be x = n-5.
21 - 5 = 16
16 - 5 = 11
11 - 5 = 6
and so on...
The number sequence has a difference of 5 in each of the values before and after them.
the center is at the origin of a coordinate system and the foci are on the y-axis, then the foci are symmetric about the origin.
The hyperbola focus F1 is 46 feet above the vertex of the parabola and the hyperbola focus F2 is 6 ft above the parabola's vertex. Then the distance F1F2 is 46-6=40 ft.
In terms of hyperbola, F1F2=2c, c=20.
The vertex of the hyperba is 2 ft below focus F1, then in terms of hyperbola c-a=2 and a=c-2=18 ft.
Use formula c^2=a^2+b^2c
2
=a
2
+b
2
to find b:
\begin{gathered} (20)^2=(18)^2+b^2,\\ b^2=400-324=76 \end{gathered}
(20)
2
=(18)
2
+b
2
,
b
2
=400−324=76
.
The branches of hyperbola go in y-direction, so the equation of hyperbola is
\dfrac{y^2}{b^2}- \dfrac{x^2}{a^2}=1
b
2
y
2
−
a
2
x
2
=1 .
Substitute a and b:
\dfrac{y^2}{76}- \dfrac{x^2}{324}=1
76
y
2
−
324
x
2
=1 .
Based on the difference in scores for the basketball team over the six games, the mean difference in scores was 3
<h3>How to find the mean difference in scores?</h3>
The basketball team had 6 games and in these games, their scores were listed as differences in game scores.
The mean of these differences in scores can be found by adding the differences where they won and subtracting the differences where they lost and then dividing by the number of games:
The mean difference in game scores is:
= (7 - 7 + 8 + 9 - 4 + 5) / 6
= 18 / 6
= 3
Find out more on the mean differences at brainly.com/question/11323789
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Y= -3/5x - 2 Add -3/5x to both sides
3/5x +y= -2 Multiply both sides by 5 because 5 is the denominator.
By multiplying by 5 you can cancel out and make it a real number.
5(3/5x +y) = -2(5)
3x + 5y= -10 is the answer.
Answer:
Step-by-step explanation:
The rate of change, slope, m is
m=(y2-y1)/(x2-x1), we have points (4,5) and (21,39) so
m=(39-5)/(21-4)
m=34/17
m=2
So the rate of change is 2
