Answer:
y = -3(x + 1)² + 9
Step-by-step explanation:
y = a(x - h)² + k, where (h, k) is the vertex
The vertex of the quadratic function is (-1, 9)
The only equation listed that has a vertex at (-1, 9) is:
y = -3(x + 1)² + 9
Answer:
f
−
1 (
x
) = x + 12
Step-by-step explanation:
To find the inverse, interchange the variables and solve for
y
.
I hope this helps.
Answer:
<-3,4>
<0,-5>
Step-by-step explanation:
|-3w| = 15
3|-w| = 3|w| = 15
|w| = 
|w| = 5
- If vector w is represented by <1,-9>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <-3,4>
Then |w| =
.
Therefore this is possible.
- If vector w is represented by <4,5>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <-5,-3>
Then |w| =
.
Therefore this is not possible.
- If vector w is represented by <0,-5>
Then |w| =
.
Therefore this is possible.
(NOTE : if z vector is represented by <x,y> then |z| =
)
The null hypothesis is p = 0.68 while the alternative hypothesis will be that it's below that is p < 0.68.
First, let us understand the Null and Alternative hypotheses:
The null hypothesis is simply to predict that there is no effect of the relationship between the variables.
The alternative hypothesis is to state the research prediction of a relationship or effect. In this case, the newsletter publisher believes that below 68% of their readers own a Rolls Royce.
The null hypothesis is that the proportion of readers who own a Rolls Royce is equal to 0.68.
Null hypotheses = H₀: p = 0.68
The alternate hypothesis is that the proportion of readers who own a Rolls Royce is below 0.68.
Alternate hypotheses = H₁: p < 0.68.
Thus, the null hypothesis is p = 0.68 while the alternative hypothesis will be that it's below that is p < 0.68.
To learn more about the Null and Alternative hypotheses visit:
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Answer:
15x + 9 (We combing like terms. Ex. 16x and -x)