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klemol [59]
3 years ago
12

Plot the vertex of f(x) = (x − 2)2 + 2. PLEASE HELP ME IM UPSET

Mathematics
1 answer:
8090 [49]3 years ago
3 0
<h3>Answer: The vertex is located at (2, 2)</h3>

====================================================

Explanation:

The general vertex form is

y = a(x-h)^2 + k

When we compare the function your teacher gave you to this template, then we see that

  • a = 1
  • h = 2
  • k = 2

The vertex is therefore (h,k) = (2,2)

The value of 'a' has no role in the vertex's location. This value determines how vertically stretched or compressed the parabola will be. Also, it determines if the parabola opens upward or downward (a > 0 for upward; a < 0 for downward).

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4 0
3 years ago
83 Tee (CsT Sequences and Functions
NISA [10]

Answer:

The common difference is same = d = -9

Therefore, the data represent a linear function.

Step-by-step explanation:

Given the table

x                        y

1                         4

2                        -5

3                        -14

4                        -23

5                         -32

Finding the common difference between all the adjacent terms of y-values

d = -5 - 4 = -6,

d = -14 - (-5) = -14+5 = -9

d = -23 - (-14) = -23 + 14 = -9

d = -32 - (-23) = -32 + 23 = -9

It is clear that the common difference between all the adjacent terms is same.

Thus,

d = -9

We know that when y varies directly with x, the function is a linear function.

Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.

i.e. The common difference is same = d = -9

Therefore, the data represent a linear function.

3 0
3 years ago
Parker spends 1/4 of his earnings on rent and 1/6 of his earnings on entertainment
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Answer:

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Step-by-step explanation:

3 0
3 years ago
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A set of data was published in the fall 2019 Phi Kappa Phi Forum regarding the performance of Major League Baseball (MLB) umpire
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Answer:

The answer is "1.30".

Step-by-step explanation:

Proportion of population=0.20

Ratio sample=\frac{70}{300}=\frac{7}{30}=0.23

Statistics of the test:

\to Z=\frac{(0.23-0.2)}{\sqrt{(\frac{0.2\times(1-0.2)}{300})}}\\\\

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6 0
3 years ago
Two lines, A and B, are represented by the equations given below: Line A: x + y = 6 Line B: x + y = 4 Which statement is true ab
timurjin [86]
If the lines cross, there is a solution , which means that there is a y and x value which satisfies both equations. 
since both the equations start with x+y they shoulddd have the same answer if they had crossed. we can tell straight away these lines do not cross because 6=/=4 6 doesnt equal 4. therefore no solution. 
TIP: for the future, if they had crossed, you can use simultaneous equations to find x and y to see if they work in each equation and find a solution ( since they are straight lines there will only be 1 solution, unless they are literally the same line in which case then then they are ALWAYS on top of each other and always have the same values)
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3 years ago
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