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Alecsey [184]
4 years ago
12

Given two functions f(x)=2x+4 and g(x)=−1/5x−3 , what is the function rule for (f+g)(x) ?

Mathematics
1 answer:
Angelina_Jolie [31]4 years ago
5 0

The definition is pretty simple:

(f+g)(x) = f(x)+g(x)

So, we only have to sum the expressions:

f(x)+g(x) = 2x+4 - \dfrac{1}{5}x-3 = \dfrac{9}{5}x+1

You might be interested in
What is this question Simplify 3(4)2.
Sonja [21]

All we have to do here is multiply the numbers, as there are no other operations in this equation.

3 times 4 is 12, times 2 is 24.

The answer is 24.

7 0
4 years ago
If LN = 6x – 5, LM = x + 7, and MN = 3x + 20, find MN.
nikklg [1K]

Answer:

LM = LN + MN [ assuming N is a point between L and M ]

(x + 7) = (6x - 5) + (3x + 20) \\ x + 7 = 9x + 15 \\ 8x =  - 8 \\ { \underline{x =  - 1}}

then find MN:

MN = 3x + 20 \\ MN = 3( - 1) + 20  =  - 3 + 20\\ { \boxed{ \boxed{MN = 17}}}

4 0
3 years ago
50 POINTS!
Elodia [21]

the error in this flowchart is:second one.

<u>Point L is equidistant from endpoints J and K, not J and N.</u>

Answer:

Solution given:

LM which is a perpendicular bisector of segment JK,

it means JN=JK

o JL and KL are equal in length, according to the definition of a midpoint.

True

O Point L is equidistant from endpoints J and K, not J and N.<u>False</u><u>.</u>

O The arrow between ∆JNL ∆KNL and JL≈ Kl points in the wrong direction.True

O An arrow is missing between the given statement and <LNK ≈<LNJ.True

8 0
3 years ago
A local children's theater sold tickets for their evening show at $5 for children and $15 for adults. For their afternoon matine
Oksanka [162]

The solution of the system of linear equations is x = 50, y = 20.

The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows.

<h2>Procedure - Determination of the number of people assisting to a movie</h2><h2 /><h3>Construction of the system of equations</h3><h3 />

In this question we need to construct a linear function for the total of people that assisted to the evening show and for the total of people that assisted to the afternoon matinee. The system of equations is described below:

Evening show

5\cdot x + 15\cdot y = 550 (1)

Afternoon matinee

2\cdot x + 5\cdot y = 200 (2)

Where:

  • x - Number of children that assisted.
  • y - Number of adults that assisted.

<h3>Resolution of the system of equations and analysis of the results</h3><h3 />

By algebraic means we find the following result associated with the system of equations:

x = 50, y = 20 \blacksquare

The graphic representation of this system is described in the image attached below.

The point of intersection represents the solution found analytically and represents the scenario in which the <em>same</em> quantity of adults and children assisted to both shows. \blacksquare

To learn more on systems of linear equations, we kindly invite to check this verified question: brainly.com/question/20379472

5 0
3 years ago
Guys please help me with this question. Due now
oksano4ka [1.4K]

Answer: a=2 and b =-3

Step-by-step explanation: Good luck! :D

7 0
3 years ago
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