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

Answers

Answer 1

Answer:

[tex](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} [/tex]

Answer 2

Answer:

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

(4n²-3n+1) is the right answer.

Related Questions

Solve the inequality 3x-1 < 2x+5​

Answers

Answer:

x<6

Step-by-step explanation:

Solve for x

by simplifying both sides of the inequality, then isolating the variable.

Inequality Form:

x<6

what two numbers can multiplied together and get 24 and those same two numbers get added to each other and get -4?

Answers

8x3 = 24..................

Can someone pls help me with these two

Answers

That first one would be 14/ tan( 13)

The second would be 9 x cos(47)

Solve the following systems by Elimination

1) 4x+6y=32
3x-6y=3

2) -3+5y=-11
3x+7y=-1

Answers

Answer:

The solutions for both system of equations are as follows:

(5,2)(2,-1)

Step-by-step explanation:

The first set of equations is:

[tex]4x+6y=32\\3x-6y=3\\[/tex]

It can clearly be seen that the coefficients of y are already same in magnitude with different signs so we have to add both equations

So adding both equations, we get

[tex]4x+6y+3x-6y = 32+3\\7x = 35\\\frac{7x}{7} = \frac{35}{7}\\x = 5[/tex]

Putting x=5 in equation 1

[tex]4(5)+6y = 32\\20+6y = 32\\6y = 32-20\\6y = 12\\\frac{6y}{6} = \frac{12}{6}\\y = 2[/tex]

The solution is (5,2)

The second set of simultaneous equations is:

[tex]-3x+5y=-113x+7y=-1[/tex]

We can see that the coefficients of x in both equations are same in magnitude with opposite signs so

Adding both equations

[tex]-3x+5y+3x+7y = -11-1\\12y = -12\\\frac{12y}{12} = \frac{-12}{12}\\y = -1[/tex]

Putting y= -1 in first equation

[tex]-3x+5(-1)=-11\\-3x-5=-11\\-3x=-11+5\\-3x=-6\\\frac{-3x}{-3} = \frac{-6}{-3}\\x = 2[/tex]

The solution is: (2,-1)

Hence,

The solutions for both system of equations are as follows:

(5,2)(2,-1)

17.URGENT
Can someone please help me?​

Answers

Answer:

Answer choice D

Step-by-step explanation:

So we need to get r to the right side. First we can multiply by 3 to get rid of the fraction:

3V=4[tex]\pi[/tex][tex]r^{3}[/tex]

Then we can divide both sides by 4[tex]\pi[/tex] to get r by itself:

[tex]\frac{3V}{4\pi } = r^{3}[/tex]

Then cube both sides:

[tex]\sqrt[3]{\frac{3V}{4\pi } } =r\\[/tex]

Answer choice D

What is the slope of y = -4x - 3

Answers

Answer:

-4

Step-by-step explanation:

Answer:s

slope of -4x-3: m=-4

Shannon bought 518 pounds of apples. Bill bought 278pounds of apples. Which most closely estimates how many more pounds of apples Shannon bought than Bill?

Answers

Answer:

240 pounds.

Step-by-step explanation:

Given that,

Shannon bought 518 pounds of apples.

Bill bought 278 pounds of apples.

We need to find how many more pounds of apples Shannon bought than Bill.

More Apples = Shannon Apples - Bill Apples

= 518 - 278

= 240

Hence, 240 pounds of apples Shannon bought than Bill.

Help please!!!!!!!! I need help with this ASAP!

Answers

9514 1404 393

Answer:

  2.89 m

Step-by-step explanation:

The attached shows the figure drawn accurately. It also shows that the angle of the line of sight is 102° -90° = 12° below the horizontal. The sine relation is useful in this situation.

The side opposite the angle in the triangle of interest is the difference in building heights, 5.3 -4.7 = 0.6 m. So, the useful relation is ...

  Sin = Opposite/Hypotenuse

  sin(12°) = (0.6 m)/(PR)

  PR = (0.6 m)/sin(12°) ≈ 2.886 m

  PR ≈ 2.89 m

The distance to the subject is about 2.89 meters.

Please help me I need the answer now!!

Answers

Answer:

an ordered pair

the point where all the lines intersect (which is located by the ordered pair above)

No solutions (in case for example you have parallel lines, so no point there they intersect)

Infinitely Many Solutions (this is when for example you have one single equation, each point of the line is a solution and there are infinite points)

Step-by-step explanation:

basically a "system" means finding a solution that is valid for each equation, like a logical AND

so in this case it means finding a point that lies on each line, and that point can only exists (the intersection of those lines) or not exist (they are parallel)

if the system is made of one single linear equation then you have infinite solutions

Find Missing side lengths

Answers

Answer:

On the side length of the triangle

Step-by-step explanation:

On the side length of the triangle

First answer is correct

If h = 12 units and r= 4 units, what is the volume of the cone shown above?
Use 3.14 for .
A.
12.56 cubic units
B.
50.24 cubic units
C.
200.96 cubic units
D. 602.88 cubic units

Answers

C because you have to multiply and estimate
C, 200.96 cubic units I’m pretty sure

answer for brainlist

Answers

Answer:

Answer

Step-by-step explanation:

The price of a watch was increased by 20% to £162.
What was the price before the increase?​

Answers

The original price is 135
Step-by-step explanation:
Write equation. Let o be original price, r be rate of increase, P be the increased price. o+ro=P
Substitute values. Original price (o) is unknown, so that will stay as it is; we know that the increased price (P) is 162; we know that the rate of increase (r) is 20%, which in decimal form is 0.20 o+0.20o=162
Add like terms. o is the same as 1o. So 1+0.20 is 1.20. 1.20o=162
Isolate the variable (o). To isolate o, you need to divide both sides by 1.20. 1.20 divided by 1.20 is the same as 1. 162 divided by 1.20 is 135. o=135
Check your work. Plug in the values into the equation and check if it is correct: o+ro=P becomes (135)+(.20)(135)=162. That is simplified into 135+27=162, which is further simplified into 162=162
It’s correct, the answer is 135

Answer:

£129.60

Step-by-step explanation:

10% =  £16.2

20% = £32.4

£162 - £32.40 = £129.60

–15 = a/5
A. a = –3
B. a = –20
C. a = –10
D. a = –75

Answers

Answer: a = -75

Step-by-step explanation:

i just multiplied both sides by 5, in order to get "a" by itself.

-75 = a

then, just for kicks, we switch it around so that the variable is in front.

a = -75

Express in the form 1 : n Give n as a decimal 10 : 12

Answers

Answer:

1:1.2

Step-by-step explanation:

please give me a brainliest!!<3

12.
Line ( is parallel to line m. Line 1 is a transversal
with angle measures as indicated below.
(3x + 42)
(5x – 22)
m
Note: The figure is not drawn to scale.
7 Pt
What is the value of x?

A 16
B. 20
C.25
D. 32

Answers

3x + 42 + 5x -22 = 180

8x + 20 = 180

8x = 180-20

8x = 160

Divide on both sides

X = 20

Answer is B

Please help-
Tell which postulate, if any, make the triangles congruent

Answers

Answer:

the answer is SAS

side angle side

In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x. ​

Answers

Answer:

The 2 angles are supplementary.  This means they have to add up to 180 degrees.  The first angle is 8x and the second is x+27.  So set both of them equal to 180.

8x + x + 27 = 180

9x = 153

x = 17

Angle 1 = 8(17) = 136

Angle 2 = (17) + 27 = 44

Check: Angle 1 + Angle 2 = 180

136 + 44 = 180

Step-by-step explanation:

HEEEEEEEEEEELPPPPPPPPP PLEASEEEEEEE URGENT 15 POINTS+ MORE

Answers

Answer:

y - 70, x - 73 should be the answer

Step-by-step explanation:

Does anybody know answer to this plsssss

Answers

9514 1404 393

Answer:

  (a)  4(2x^5 +x^2 -3)

Step-by-step explanation:

The only common factor is 4. That factor must be removed from every term to find the expression that goes inside parentheses.

  8x^5 +4x -12 = 4(2x^4 +x -3)

x 0 1 2 3 y 8 1 −6 −13 Is the relationship a linear function? How do you know? A. No; the change in x and the change in y is not constant. B. Yes; the change in x is constant and the change in y is not constant. C. Yes; the change in x is constant and the change in y is constant. D. No; the change in x is not constant and the change in y is constant.

Answers

Answer:

The correct option is C) Yes; the change in x is constant and the change in y is constant.

Step-by-step explanation:

Consider the table shown.

x     y

0    8

1     1

2   -6

3   -13

Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.

Consider the change in x coordinate.

1-0=1,  2-1=1 and 3-2=1

Now consider the change in y coordinate.

1-8=-7,  -6-1=-7  and -13-(-6)=-13+6=-7

Since the change in x and y is constant the given relationship is linear.

Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.

A doctor collected data on how many hours children of different ages slept in a day. Data for 5 participants are
shown below.

Answers

The answers is the picture I posted. I did in khan academy and it was right.

The data values of the scatter plot are  (x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)

How to represent the table on a scatter plot?

The table of values is given as:

x: 1  2  3  5  8

y: 13 11 10 9 8

This means that the data values are:

(x,y) = (1,13), (2,11), (3, 10), (5,9) and (8,8)

See attachment for the scatter plot

Read more about scatter plots at:

https://brainly.com/question/6592115

h + 13.4 = -13.4

h = ?

Answers

I think it is -26.8

Estimate 307% of 29.

Answers

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

-X + 5 = 1
What is the answer for this equation and the steps

Answers

Answer:

x=4

Step-by-step explanation:

-x=1-5 (subtract 5 from both sides to isolate the x variable)

-x= -4 (1-5= -4)

x=4  (divide both sides by -1 so the x will not be a negative.)

Therefore, your answer will be x=4. Hope this helps! :)

Answer:

4

Step-by-step explanation:

First, let's move "+5" on the other side. We should change "+" on "-":

-x=1-5

1-5=-4:

-x=-4 |• (-1)

x=4

solve please -3x-27=

Answers

Answer:

−3(x+9)

Step-by-step explanation:

The answer is -3(x-27)

Plllllllllllllllllllllllzzzzzzzzzzzz help me out I’m confused 25 points

Answers

Answer:

0+2+-4=-2

Step-by-step explanation:

0+2-4=-2

Step by step explanation :
I believe this is right sorry if i’m wrong

Solve the following system using the Elimination Method; 6x+y=10 and 2x+y=12.

Answers

Hey there!

The solution to the system is [tex](\frac{1}{2}, 13)[/tex]

To solve the system, we can multiply the second equation by -1:

[tex]-2x - y = -12[/tex]

Then, we add the two equations together, and solve for x:

[tex]4x = -2[/tex]

[tex]x = \frac{-1}{2}[/tex]

Now, we plug the x value into one of the equations, and solve for y:

[tex]2(\frac{1}{2} ) + y = 12[/tex]

[tex]-2 + y = 12[/tex]

[tex]y = 13[/tex]

Now we know that the solution to the system is [tex](\frac{1}{2}, 13)[/tex]

Hope it helps and have an amazing day!

Answer:

(-1/2, 13)

Step-by-step explanation:

Multiply the 2nd equation by -1, obtaining the following system:

6x + y = 10

-2x  - y = -12

------------------

Combine like terms, obtaining:

6x + y = 10

-2x  - y = -12

------------------

4x     = -2

Dividing both sides by 4 yields x = -2/4, or x = -1/2

Substituting -1/2 for x in the second equation yields:

2(-1/2) + y = 12, or

-1 + y = 12.  Then y = 13, and the solution is

(-1/2, 13)

Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)​

Answers

Answer:

angle side angle

Step-by-step explanation:

Find the unknown sides and angles of this triangle using the Law of Cosines.
Round to the nearest hundredth.
Now, I know side C is 10.35, but I couldn't get the angles for A or B. I'm uncertain if this is a bug or what, but could someone help me out? I'd appreciate a well written explanation as well.

Answers

Answer:

side c-10.35 Angle a-50.88 Angle B-94.12

Step-by-step explanation:

I found the answers on a khan academy thing. I just took the quiz and got a 100%

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