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3 years ago

Convert the quadratic equation, f (x) = 2(x - 3)2 +1, into standard form.

Mathematics

1 answer:

laiz [17]3 years ago

8 0

Step-by-step explanation:

........4x-y=11........

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Can you answer all of these 10 points of you do

Alekssandra [29.7K]

1.) a.) 12 / 6 = 2
      b.) 3 / 2 = 1.5
      c.) 16 / 8 =2
      d.) Positive

2.) 0 = 0
   2 = 13
   4 = 26
   6 = 39
   8 = 52
   10 = 65
   a.) $6.50
   b<span>.) Is increasing
   c.) </span>Positive

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3 years ago

Maggie’s brother is three years younger than twice her age. The sum of their ages is 24. How old is maggie?

JulsSmile [24]

To solve this problem, we must set up a system of equations. In this case, let's let Maggie's age be represented by the variable m and her brother's age be represented by the variable b. We are told that the sum of their ages is 24, which gives us our first equation: m + b = 24. We can construct our next equation from the first sentence of given information: b = 2m - 3. This makes our system of equations:

m + b = 24

b = 2m - 3

To solve, we are going to substitute the value for b in terms of m given by the second equation into the first equation for the variable b.

m + b = 24

m + 2m - 3 = 24

To simplify, we must first combine the variable terms on the left side of the equation using addition.

3m - 3 = 24

Next, we should add 3 to both sides of the equation to get the variable term alone on the left side of the equation.

3m = 27

Finally, we should divide both sides by 3 in order to get the variable m alone.

m = 9

Therefore, Maggie is 9 years old (using the first equation and substituting in this value you can find that her brother is 15 years old).

Hope this helps!

8 0

3 years ago

Read 2 more answers

Which relation is a function

Morgarella [4.7K]

Answer:

The bottom Right one

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Please help, I need help.<br><br>I don't understand.

Lana71 [14]

Find slope of both

(11,2)
(22,4)

$\\ \tt\hookrightarrow m=\dfrac{4-2}{22-11}=\dfrac{2}{11}=1.8$

(0,0)
(5,1)

$\\ \tt\hookrightarrow m=\dfrac{1-0}{5-0}=\dfrac{1}{5}=0.2$

Option C is correct

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2 years ago

The following data shows the quarterly profit (in thousands of dollars) made by a particular company in the past 3 years.

laiz [17]

Answer:

208.82 ; 61.33

Step-by-step explanation:

Given the data:

Year Quarter Profit ($1000s)

1 1 45

1 2 51

1 3 72

1 4 50

2 1 49

2 2 45

2 3 79

2 4 54

3 1 42

3 2 58

3 3 70

3 4 56

The 3 period moving average :

Yr Qtr Profit ($1000s)Pt ____ Ft ____ e=(PT-Ft)²

1 _ 1 ___45 __

1 _ 2 __ 51 __

1 _ 3 __ 72 __

1 _ 4 __ 50 ______________56 ____ 36

2 _ 1 __ 49 ______________57.67__ 75.17

2 _ 2__ 45 ______________57 ____ 144

2 _ 3__ 79 ______________48 ____961

2 _ 4__ 54 ______________57.67 _ 13.47

3 _ 1__ 42 ______________59.33__300.33

3 _2 __ 58 ______________58.33__ 0.11

3 _ 3__ 70 ______________51.33__ 348.57

3 _ 4 __56 ______________56.67__0.45

MSE = Σ(Pt - Ft)² ÷ n

MSE = (36+75.17+144+961+13.47+300.33+0.11+348.57+0.75) ÷ 9

= 208.82

Forecast for next quarter :

(58 + 70 + 56) / 3 = 184 /3 = 61.33

8 0

3 years ago

Convert the quadratic equation, f (x) = 2(x - 3)2 +1, into standard form.​

Convert the quadratic equation, f (x) = 2(x - 3)2 +1, into standard form.