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irinina [24]
2 years ago
13

F(n) = 4n +3 g(n) = 3n²+2 Find f(n) - g(n) help lol

Mathematics
2 answers:
Leto [7]2 years ago
8 0

Answer:

f(n) - g(n) = (4n + 3) - (3 {n}^{2}  + 2) \\  = 4n + 3 - 3 {n}^{2}  - 2 \\  =  \boxed{4n - 3 {n}^{2}  + 1}

<h3><u>(4n²-3n+1)</u> is the right answer.</h3>
FromTheMoon [43]2 years ago
6 0

Answer:

(4n + 3) - (3 {n}^{2}  + 2) \\  = 4n + 3 - 3 {n}^{2}   - 2 \\  =  - 3 {n }^{2}  + 4n + 1 \\ ( - 3 {n}^{2}   - 3n) - (1n + 1) \\  - 3n(n + 1) - 1(n + 1) \\ (n + 1)( - 3n - 1) \\ n =  - 1 \\  n=  \frac{1}{ - 3}

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A boiler room has the shape of a rectangular prism. The area of the floor of the room is 112 square feet. The length of the room
Naddik [55]

Answer:

Length = 16 feet.

Width = 7 feet

Height = 8 feet

Volume = 896 cubic feet.

Step-by-step explanation:

There is a rectangular prism boiler room. 112 square feet is the floor area of the room.

Let the length of the room is L feet and width is W feet.

So, LW = 112 ...... (1)

Now, given that L = 2 + 2W ........ (2) , hence, from equation (1) we get  

(2 + 2W)W = 112

⇒ 2w + 2w² = 112

⇒ W² + W - 56 = 0

⇒ (W +8)(W - 7) = 0

⇒ W = 7 feet. {Neglecting the negative root as W can not be negative}

Hence, from equation (2) we get L = 2W + 2 = 16 feet.

Now, 1 foot more than the width is the height H.

Hence, H = 7 + 1 = 8 feet.

Therefore, the volume of the room is, V = LWH = 16 × 7 × 8 = 896 cubic feet. (Answer)

5 0
3 years ago
Javier worked out the following on his math homework: “What equation best represents the relationship between x and y in the gra
ss7ja [257]

Answer:yes he is correct

Step-by-step explanation: if you go on a certain site and you put in the equation, you press enter then it will pop up with what you want to do. Press graph, then you can compare the graphs and if it is the same you know it is correct

5 0
3 years ago
Kevin estimated the differncle between of 9/10 minus 4/8 to be 0 is his estimate reasonable explain
raketka [301]

Answer:

No, it is not reasonable

Step-by-step explanation:

Writing 9/10 and 4/8 as fractions out of 100, and then as decimals

9/10 = 90/100 = 0.9

4/8 = 1/2 = 50/100 = 0.5

0.9 - 0.5 = 0.4

Not 0, like Kevin estimated

4 0
3 years ago
Read 2 more answers
Hey! please help me with this question
astraxan [27]
The answer is 1/4 or 0.25.

steps:
first look in the parenthesis and notice that the denominator is not the same. set the denominator to 6 for the fraction 1/3 by multiplying 3(2) and 1(2) which makes the fraction 1/6. now add -5/6 and 1/6 inside the parenthesis. you should get -3/6 which you should put in the simplest form: -1/2. now combine -1/2 and -1/2 to get 1/4
4 0
3 years ago
What is the value of x?
ser-zykov [4K]

I think it is 20.

3x=x+40

2x=40

x=20

5 0
3 years ago
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