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Aloiza [94]
3 years ago
5

Please I need some help!

Mathematics
1 answer:
Schach [20]3 years ago
7 0

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Step-by-step explanation:

Given

f(x) =6x-2\\g(x)=2x+4

we have to find

<u>a. (f+g)(x)</u>

(f+g)(x)=f(x)+g(x)\\=(6x-2)+(2x+4)\\=6x-2+2x+4\\=6x+2x-2+4\\=8x+2

<u>b. (f-g)(x)</u>

(f-g)(x)=f(x)-g(x)\\=(6x-2)-(2x+4)\\=6x-2-2x-4\\=6x-2x-2-4\\=4x-6

Hence,

(f+g)(x) = 8x+2

(f-g)(x) = 4x-6

Keywords: Functions, Operations on Functions

Learn more about functions at:

  • brainly.com/question/4021035
  • brainly.com/question/4034547

#LearnwithBrainly

You might be interested in
PLEASE HELP ITS DUE IN LIKE30 min !!!!!!!!!Give the following functions f(x) and g(x),solve (f/g) (-5) and select the correct an
Bingel [31]

Answer:

The answer is -32

Step-by-step explanation:

g(-5) = (-5)-1= -6

f(-6) = 2(-6)-20

f(-6) = -12-20

-32

6 0
3 years ago
In the equation, 7 (3a+12)=168 , what are some of the steps that should be taken to solve for x? Select all that apply.
Svetradugi [14.3K]

7(3a + 12) = 168 ← ( divide both sides by 7 )

3a + 12 = 24 ← ( subtract 12 from both sides )

3a = 12 ← ( divide both sides by 3 )

a = 4

OR

distribute the parenthesis by 7

21a + 84 = 168 ← ( subtract 84 from both sides )

21a = 84 ← ( divide both sides by 21 )

a = 4


5 0
3 years ago
Need help like right now.
denpristay [2]

Let's go:


Big triangle:

12 + 3x - 6 = 3x + 6

10 + 8 = 18


\frac{10}{18} = \frac{3x - 6}{3x + 6} \\\\ 10.(3x + 6) = 18.(3x - 6) \\\ 30x + 60 = 54x - 108 \\\ 54x - 30x = 60 + 108 \\\ 24x = 168 \\\ x = 7


I hope I helped you.


4 0
3 years ago
Read 2 more answers
Select the correct answer.
stich3 [128]

The volume of the container is 5969 cm³. The correct option is D. 5,969 cm³

<h3>Calculating Volume </h3>

From the question, we are to determine the volume of the container

Volume of the container = Volume of the cone - Volume of the small cone

The volume of a cone is given by the formula,

V = 1/3πr²h

Where V is the volume

r is the radius

and h is the height

From the given information,

For the small cone,

Diameter = 10 cm

∴ Radius, r = 10cm/ 2 = 5 cm

h = 6 cm

For the big cone

diameter = diameter of the container = 30 cm

∴ Radius = 30cm/ 2

Radius = 15cm

h = height of small cone + height of container

h = 6 cm + 20 cm

h = 26 cm

Putting the parameters into

Volume of the container = Volume of the cone - Volume of the small cone

We get,

Volume of the container = 1/3π × 15² ×26 - 1/3π × 5² × 6

Volume of the container = 1/3π (15² ×26 -  5² × 6)

Volume of the container = 1/3π (5850 -  150)

Volume of the container = 1/3π (5700)

Volume of the container = 1/3 × π × 5700

Volume of the container = 5969.026 cm³

Volume of the container ≈ 5969 cm³

Hence, the volume of the container is 5969 cm³. The correct option is D. 5,969 cm³

Learn more on Calculating volume here: brainly.com/question/12004994

#SPJ1

8 0
2 years ago
Today the ratio of Elinor's age to her mother's age is 3:8. After 15 years, the ratio will become 6:11. What is Elinor's age tod
amm1812
X=Elinor´s age today.
y=Mother´s age today.
(x+15)=Elinor´s age after 15 years.
(y+15)=Mohter´s age after 15 years.

We can suggest this systemen of equations:
x/y=3/8                                  ⇒x=3y/8
(x+15)/(y+15)=6/11              ⇒11(x+15)=6(y+15)

Finally, we´ll have the following system:
x=3y/8
11(x+15)=6(y+15)

We can solve this system of equations by substitution method:
11[(3y/8)+15)=6(y+15)
11[(3y+120)/8)=6y+90
33y+1320=8(6y+90)
33y+1320=48y+720
33y-48y=720-1320
-15y=-600
y=-600/-15
y=40

We find out the value of "x";
x=3y/8
x=3(40)/8
x=120/8
x=15

Answer: Elinor is 15 years old.
 
8 0
3 years ago
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