Ok, so I used the equation Y2 (4) - Y1 (-10) over X2 (2) -X1 (-5).
4 - -10 is 14 since if a minus sign is before a negative number, it becomes positive.
Same goes for 2 - -5. It is 7 since the minus sign is before the negative number. Final answer is 14/7 which can be simpflied to 2/1 since 14 divided by 7 =2. So the distance is 14\7, or 2\1.
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
Answer:
option f is right
Step-by-step explanation:
Given that data is collected to perform the following hypothesis test.
(right tailed test)
Sample mean = 5.4
p value = 0.1034
when p value = 0.1034 we normally accept null hypothesis. i.e chances of null hypothesis true is the probability of obtaining test results at least as extreme as the results actually observed during the test, assuming that the null hypothesis is correct
f) If the mean µ does not differ significantly from 5.5 (that is, if the null hypothesis is true), then the probability of obtaining a sample mean y as far or farther from 5.5 than 5.4 is .1034.
.
Combine like terms to simplify an expression. For example, all terms with the variable x can be combined into one term. All constants can also be combined.
1) -4x - 10x = -14x
2) -r - 10r = -11r
3) -2x + 11 +6x = 4x + 11
4) 11r - 12r = -r
5) -v + 12v = 11v
6) -8x - 11x = -19x
7) 4p + 2p = 6p
8) 5n + 11n = 16n
9) n + 4 - 9 - 5n = -4n - 5
10) 12r + 5 + 3r - 5 = 15r (the 5 and -5 cancel each other out)
11) -5 + 9n + 6 = 9n + 1
I think all you need to do is rise/run, in this case, 2420÷6050=0.4=40%
