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Naya [18.7K]
3 years ago
11

H(n) = n + 3 g(n) = 3n Find (h + g)(n)

Mathematics
1 answer:
svlad2 [7]3 years ago
7 0

Answer:

(h+g)(n)=4n+3

Step-by-step explanation:

So we have the two functions:

h(n)=n+3\text{ and } g(n)=3n

And we want to find (h+g)(n).

This is the same as: h(n)+g(n). So, substitute:

h(n)+g(n)\\=(n+3)+(3n)

Combine like terms:

=4n+3

So:

(h+g)(n)=4n+3

And we're done!

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SOMEONE PLEASE HELP ME ON QUESTIONS 17-19 I NEED ASAP
Lana71 [14]

Answer:

17. 10x+24 OR 108   18. 72   19. 8.4

Step-by-step explanation:

(10x+24)+72=180

10x+96=180

10x=84

x=8.4

10x+24

10(8.4)+24

84+24

108

8 0
3 years ago
6 x 10 5 is how many times the value of 3 x 10 (Hint: Write your answer in standard form.)​
JulijaS [17]

Answer:

0.000036

Explanation:

When multiplying a number by 10 to the power of a positive exponent (e.g.  

10

3

), move the decimal in the number that many spaces to the right (e.g.  

4.5

⋅

10

3

=

4500

).

When multiplying a number by 10 to the power of a negative exponent (e.g.  

10

−

4

), move the decimal in the number (the absolute value of) that many spaces to the left (e.g.  

4.5

⋅

10

−

4

=

0.00045

).

For  

3.6

⋅

10

−

5

, move the decimal five spaces to the left:

0.000036

Step-by-step explanation:

5 0
3 years ago
The sum of a number and 4
allsm [11]
X + 4 is the answer to your question
djdhhdjdhrhehdjjdhdhe
4 0
3 years ago
Read 2 more answers
afamily had dinner in a restaurant. If the cost of the cdinner was Rs. 2500, how much did the family pay with 10% service charge
yan [13]

Step-by-step explanation:

Find 10%:

100% = 2500

1% = 2500 divide 100

= 25

10% = 25 x 10 = 250

Find the 13% vat:

13% = 25 x 13 = 325

Find the total amount he got charged:

325 + 250 = 575

Total amount he had to pay for dinner + charges:

2500 + 575 = 3075

Answer: Rs. 3075

3 0
3 years ago
A ball is thrown into the air with a velocity of 34 ft/s. It's height in feet after t seconds is given by y=34t-26(t)^2. Find th
kkurt [141]

Answer:

The average velocity of the ball at the given time interval is -122.3 ft/s

Step-by-step explanation:

Given;

velocity of the ball, v = 34 ft/s

height of the ball, y = 34t - 26t²

initial time, t₀ = 3 seconds

final time, t = 3 + 0.01 = 3.01 seconds

At t = 3 s

y(3) = 34(3) - 26(3)² = -132

The average velocity of the ball in ft/s is given as;

V_{avg} = \frac{y(3.01)-y(3)}{3.01 -3}\\\\V_{avg} = \frac{34(3.01)-26(3.01)^2-y(3)}{3.01 -3}\\\\V_{avg} = \frac{-133.223-y(3)}{0.01}\\\\V_{avg} = \frac{-133.223-(-132)}{0.01}\\\\V_{avg} =\frac{-1.223}{0.01}\\\\V_{avg} = -122.3 \ ft/s

Therefore, the average velocity of the ball at the given time interval is -122.3 ft/s

8 0
3 years ago
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