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Vedmedyk [2.9K]
2 years ago
7

The vertex of a quadratic function is (6, 2), and the y-intercept of the function is (0, −70). The equation of the function in v

ertex form, f(x)=a(x−h)2+k, is shown.−70=a(0−6) squared+2
Mathematics
2 answers:
dimaraw [331]2 years ago
8 0

Answer:

The equation of the function in vertex form is represented by y = -2\cdot (x-6)^{2}+2.

Step-by-step explanation:

Let (h,k) = (6,2) and (x,y) = (0, - 70), now we substitute on the equation of the quadratic function and solve for a:

y = a\cdot (x-h)^{2}+k

-70 = a\cdot (0-6)^{2}+2

-70 = 36\cdot a + 2

36\cdot a = -72

a = -2

Therefore, the equation of the function in vertex form is represented by y = -2\cdot (x-6)^{2}+2.

gavmur [86]2 years ago
6 0

Answer:

THE ANSEWR IS BBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBBB

Step-by-step explanation:

b the seconed option

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A study investigated the effectiveness of meditation training in reducing trait anxiety. The study evaluated subjects trait anxi
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Answer:

The 99% confidence interval for the population mean reduction in anxiety was (1.2, 8.6).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

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99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 26 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.99}{2} = 0.995. So we have T = 2.7787.

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.7787\frac{6.9}{\sqrt{27}} = 3.7

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 4.9 - 3.7 = 1.2.

The upper end of the interval is the sample mean added to M. So it is 4.9 + 3.7 = 8.6.

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6 0
2 years ago
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7 0
3 years ago
Read 2 more answers
Tell whether the sequence 1/3, 0, 1, -2 ... is arithmetic, geometric, or neither. Find the next three terms of the sequence.
max2010maxim [7]

Answer:

A. neither; 7, -20, 61

Step-by-step explanation:

The sequence 1/3, 0, 1, -2 ...

The difference between the terms are; -1/3, 1, -3......

Looking the difference between consecutive terms in the sequence, we can predict the next differences between the following terms, as the differences form a geometric sequence;

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1/3, 0, 1, -2, 7, -20, 61

Hence the next three terms are; 7, -20, 61

6 0
3 years ago
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