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LuckyWell [14K]
3 years ago
6

Factor 3x^2 minus 12x minus 36 Completely

Mathematics
1 answer:
stepan [7]3 years ago
5 0
3(x-6)(x+2)
hope this helps
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Daily high temperatures in St. Louis for the last week were as​ follows: 95​, 92​, 93​, 92​, 95​, 90​, 90 ​(yesterday). ​a) The
hichkok12 [17]

Answer:

a) T = 91.7 degrees

b) T = 90 degrees

c) MAD = 1.9

d) MSE = 5.05

Step-by-step explanation:

Given:

- Daily high temperatures in St. Louis for the last week were as​ follows:

                                   95​, 92​, 93​, 92​, 95​, 90​, 90

Find:

a) Forecast the high temperature today, using a 3-day moving average.

b) Forecast the high temperature today, using a 2-day moving average.

c) Calculate the mean absolute deviation based on a 2-day moving average, covering all days in which you can have a forecast and an actual temperature.

d) The mean squared error for the​ 2-day moving average​

Solution:

a)

- The set of 3 day moving average is as follows:

4.   (95 + 92 + 93) ÷ 3 = 93.33⁰C

5.  (92 + 93 + 92) ÷ 3 = 92.33⁰C

6.  (93 + 92 + 95) ÷ 3 = 93.33⁰C

7.  (92 + 95 + 90) ÷ 3 = 92.33⁰C

8.  (95 + 90 + 90) ÷ 3 = 91.667⁰C

- Now use these points on excel sheet to forecast the temperature for today. The line of best fit is given:

T = 91.7 degrees

b)

- The set of 2 day moving average is as follows:

3.   (95 + 92) ÷ 2 = 93.5⁰C

4.  (95 + 93) ÷ 2 = 92.5⁰C

5.  (93 + 92) ÷ 2 = 92.5⁰C

6.  (92 + 95) ÷ 2 = 93.5⁰C

7.  (95 + 90) ÷ 2 = 92.5⁰C

8. (90 + 90) ÷ 2 = 90⁰C

- Now use these points on excel sheet to forecast the temperature for today. The line of best fit is given:

T = 90 degrees

c)

                             Error             Error^2

3.   93.5⁰C            0.5                  0.25

4.   92.5⁰C            0.5                  0.25

5.   92.5⁰C            2.5                  6.25

6.   93.5⁰C            3.5                  12.25

7.   92.5⁰C            2.5                  6.25

8.   90⁰C

- The mean absolute deviation as follows:

                              MAD = Sum of all errors  / 5

                              MAD = (0.5+0.5+2.5+3.5+2.5)  / 5

                              MAD = 1.9

d)

- The mean squared error deviation as follows:

                              MSE = Sum of all error^2  / 5

                              MSE = (0.25+0.25+6.25+12.25+6.25)  / 5

                              MSE = 5.05

4 0
3 years ago
Solve for v 3(2v+5=33 simplify as much as possible
vredina [299]

3(2v+5)=33

Simplify both sides of the equation

3(2v+5)=33

Distribute

(3)(2v)+(3)(5)=33

6v+15=33

Subtract 15 from both sides

6v+15-15=33-15

6v=18

Divide both sides by 6

6v/6=18/6

V= 3


I hope that's help !


7 0
3 years ago
The cost of a pen is 3 times the cost of a pencil and cost of a
valentinak56 [21]

Answer:

1 Pen cost $2.25

Step-by-step explanation:

Assume:

Cost of Pen = a

Cost of pencil = b

Cost of notebook = c

a = 3b   -------------------(1)

c = 4a   -------------------(2)

2a + 6b + c = $18 -----(3)

From equation (1), b = a ÷ 3 ---------(4)

Substitute equations (2) and (4) in equation (3)

2a + 6 * (a ÷ 3) + 4a = $18

2a + 2a + 4a = $18

8a = $18

a = $2.25

Therefore, 1 Pen cost $2.25

6 0
3 years ago
How do you factor: x^2-4x+2xy-8y?
hoa [83]

Factor out the greatest common factor from each group.

Group the first two terms and the last two terms.

(x^{2}−4x)+2xy−8y

Factor out the greatest common factor (GCF) from each group.

x(x−4)+2y(x−4)

Factor the polynomial by factoring out the greatest common factor,  x−4.

(x−4)(x+2y)

I believe this is correct. Good luck.

3 0
3 years ago
7. There are 15 printers in one department. If 2/5 are color printers, how many can only print black and
Lina20 [59]
The correct answer is B. 9
5 0
3 years ago
Read 2 more answers
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