Answer:
Axis of symmetry is x = -4
Step-by-step explanation:
h(x)= 5x^2+40x+ 64
Use the formula for axis of symmetry: x = -b/(2a)
Here, a = 5, b = 40, c = 64
so
x = -40/(2*5) = -40/10 = -4
Axis of symmetry is x = -4
Answer:
y= -1/3x + 5
Step-by-step explanation:
<u>Given</u>:
Given that the triangles ABD and CAD are similar.
The length of AB is 12.
The length of BD is x.
The length of AC is 27.
We need to determine the value of x.
<u>Value of x:</u>
Let us use the leg rule to determine the value of x.
Thus, we have;

Substituting the values, we get;

Cross multiplying, we get;


Dividing both sides by 27, we have;

Thus, the value of x is 
Hence, Option D is the correct answer.
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Answer:
The hypotheses used in this situation


Step-by-step explanation:
We are given that Business Week reported that at the top 50 business schools, students studied an average of 14.6 hours.
Mean = 
Claim : The amount UMSL students study is different from this 14.6 hour benchmark.
The hypotheses used in this situation

