All categories

4 years ago

If f(x)=4x^2+1 and g(x)=x^2-5 find(f+g)(x)

Mathematics

1 answer:

Zepler [3.9K]4 years ago

6 0

Answer:

$\large\boxed{(f+g)(x)=5x^2+6}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\f(x)=4x^2+1,\ g(x)=x^2-5\\\\\text{Substitute:}\\\\(f+g)(x)=(4x^2+1)+(x^2-5)\\\\=4x^2+1+x^2-5\qquad\text{combine like terms}\\\\=(4x^2+x^2)+(1+5)\\\\=5x^2+6$

You might be interested in

Bert already has $50 but needs a total of at least $250 for his vacation. He gets paid $20 per day for delivering papers. What i

kati45 [8]

Answer:

I got 10

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

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:

- 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

- 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

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

- 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

Today a tank contains 6,000 gallons of water. For the past 5 days, 200 gallons of water was pumped out of the tank each day. Wha

DaniilM [7]

1,000 gallons was pumped out after 5 days and the rational number is 1/6 to represent the volume

8 0

3 years ago

How many ways can a person toss a coin 14 times so that the number of tails is between 11 and 13 inclusive

Zarrin [17]

Answer:

Step-by-step explanation:

Probability is the possibility for an event to occur or not to occur.

The formula for a combination is:

n choose r = n! / (r! x (n-r)!)

Given

n=14

r= 11 to 13

Hence, we shall add up the cases for 11 through 13.

nCr

14C11 + 14C12 + 14C13

14!/11!(14-11)! + 14!/12(14-12)! + 14!/13(14-13)!

= 14!/11!•3! + 14!/12!•2! + 14!/13!•1!

= 14*13*12*11!/11!•(3*2*1) + 14*13*12!/12!•(2*1) + 14*13!/13!•(1*1)

= 2184/6+182/2+14/1

= 364+91+14

= 469 ways

5 0

3 years ago

Read 2 more answers

Como resolver (+7).(-5)?<br><br> E favor responder com a expressao montada?<br> Obrigado!!!

Contact [7]

Tu tá no brainly americano, irmão.

$7 \times - 5 = - 7 - 7 - 7 - 7 - 7 = - 35$

7 0

4 years ago