Given the functions f(x)=3x−2and g(x)=−4x+1. Find (f+g)(x) and simplify completely.

Given The Functions F(x)=3x2and G(x)=4x+1. Find (f+g)(x) And Simplify Completely.

Answers

Answer 1

[tex]\\ \sf\Rrightarrow f(x)=3x-2[/tex]

[tex]\\ \sf\Rrightarrow g(x)=-4x+1[/tex]

Now

[tex]\\ \sf\Rrightarrow (f+g)(x)[/tex]

[tex]\\ \sf\Rrightarrow f(x)+g(x)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2+(-4x+1)[/tex]

[tex]\\ \sf\Rrightarrow 3x-2-4x+1[/tex]

[tex]\\ \sf\Rrightarrow 3x-4x-2+1[/tex]

[tex]\\ \sf\Rrightarrow -x-1[/tex]

Answer 2

Answer:

(f+g)(x) = -x - 1

Step-by-step explanation:

f(x)=3x−2

g(x)=−4x+1

(f+g)(x) = 3x -2 -4x+1

= -x - 1


Related Questions

Solve this problem, and identify the percent, amount, and base.

What percent of
60is15 ?

Answers

Answer:

9

Step-by-step explanation:

60 is 15=9

15 is 25% from 60
(15/60)*100 = 25%
Amount 15
Base 60
Percent 25%
Attached example:

ILL GIVE BRAINLIEST

evaluate the expression. 2•7(3^2)/3

Answers

Answer:

[tex] \frac{7 \times {3}^{2} }{3} \\ \frac{7 \times 3 \times 3}{3} \\ = 7 \times 3 = 21 \\ thank \: you[/tex]

The answer is 43
7(3^2) / 3 gives you 21
21 X 2 give you 42

Line R is represented by the equation y=-2x+7 and Line Z is represented by the equation y=3x-3. At what point will line R and line Z intersect?

Answers

Answer:

I am confused!

Answer:

you just solve by doing equation 1&2 i guess the answer will come

Compare 9/10 or 90percent'

Answers

Step-by-step explanation:

9/10

=0.9

90%

=90/100

=0.9

Hence, 9/10 = 90 %

An elevator at a construction site has a maximum capacity of 3325 pounds. If the elevator operator weighs 225 pounds and each cement bag weighs 75 pounds, how many bags of cement can be safely lifted on the elevator in one trip?

Answers

answer: 41

3325 - 225 = 3,100
3,100 / 75 = 41.3 but you can’t take .3 bags so you round down to 41

Devon wants to write an equation for a line that passes
through 2 of the data points he has collected. The points
are (8, 5) and (-12, -9). He writes the equation
7x-10y=3. Is this a
reasoning.
good model? Explain your reasoning.

Answers

Answer:

7x-10y=6

Step-by-step explanation:

Firstly, supervise 7x-10y=3 using the coordinates of one from the known points

7*8-10*5=3

6=3 It is not correct, so the equation is uncorect

Find the correct equation

The common equation is y=mx+b

5=8m+b

-9=-12m+b

Both equations are simultaneous.

-9-5= -12m+b- (8m+b)

-14=-20m

m=0.7

b=5-5.6=-0.6

y=0.7x-0.6

0.7x-y=0.6

7x-10y=6- the correct answer

which of the following is equivalent to 7x+5<-2(4x-3)
x>11
-x<1
15x<-11
15x<1

Answers

Answer:

7x+5< -8x+6

=15x<1

The equivalent inequality is 15x<1. Therefore, option D is the correct answer.

What are inequalities?

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

The given inequality is 7x+5<-2(4x-3).

Now, 7x+5<-8x+6

Subtract 5 on both the sides of an inequality, we get

7x<-8x+1

Add 8x on both the sides of an inequality, we get

7x+8x<1

15x<1

Therefore, option D is the correct answer.

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15) A small rectangular block of land has a perimeter of 100 m and an area of 225 m². Find the dimensions of the block of land.​

Answers

Answer:

45 and 5 are the dimensions of the block of land.​

Step-by-step explanation:

2(x + y) = 100, x + y = 100/2, y = (50 - x)

xy = 225

x (50 — x) = 225

0 = x^2 — 50x + 225

0 = (x — 45) (x -5)

45 and 5 are the roots of the above polynomial, thus they are the sides or dimensions of the block of land.

simplify given
[tex] \sin3 \alpha \div \sin \alpha + cos \alpha + cos3 \alpha \div cos \alpha - sin \alpha [/tex]

Answers

Step-by-step explanation:

Hey there!

Please see attached picture for your answer.

Hope it helps!

Translate the sentence into an equation.
Twice the difference of a number and 8 is equal to 6.
Use the variable b for the unknown number.

Answers

Answer:

X=2

Step-by-step explanation:

8-x=6

there the answer is 2

(x3)(x-5)
Fududeey
X=2

Answers

Answer:

-18 is the right answer..

Find the number of faces, edges, and vertices of this shape.
Help ASAP, thanks!

Answers

Faces: 6
Edges: 12
Vertices: 8
The shape is a rectangular prism.

12/5= 3/x
What is the value of x

Answers

Answer:

[tex] \frac{12}{5} = \frac{3}{x} \\ 12 \times x = 5 \times 3 \\ 12 x = 15 \\ x = \frac{15}{12} \\ = 1.25[/tex]

i hope it helped U

stay safe stay happy

Area of the Shaded Region rectangle within reactanlge
Find the area of the shaded region with the following measurements:

Answers

Answer:

132

Step-by-step explanation:

First you need to find the area of both regions (shaded and not shaded)

To find the shaded regions area multiply length by width

20 x 8 = 160

Then find the area of the unshaded region

7 x 4 = 28

Finally subtract the unshaded region from the shaded region

160 - 28 = 132

There are □terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561

Answers

Answer:

There are(2) terms in sequence1,3,9,27,81,243...6561

Step-by-step explanation:

1,3,9,27,81,243,729,2187,6561

There are 8 terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561.

To determine the number of terms in the given sequence, we can observe that each term is obtained by multiplying the previous term by 3. Starting with the first term, which is 1, we can continue this pattern to find subsequent terms.

1 * 3 = 3

3 * 3 = 9

9 * 3 = 27

27 * 3 = 81

81 * 3 = 243

243 * 3 = 729

729 * 3 = 2187

2187 * 3 = 6561

As we can see, the sequence follows a pattern of multiplying each term by 3. In total, we have gone through 8 terms to reach 6561.

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Find the value of x
2,8,9,7,6x ; the mean is 6

Answers

Answer:

x=2/3

Step-by-step explanation:

The mean is just the average of all the terms. Therefore, you can set up an algebraic expression to solve for x.

[tex]\frac{2+8+9+7+6x}{5} =6[/tex]

[tex]2+8+9+7+6x=30\\26x+6x=30\\6x=4\\x=4/6=2/3\\x=2/3[/tex]


A pole that is 2.8 m tall casts a shadow that is 1.46 m long. At the same time, a nearby building casts a shadow that is 50.25 m long. How tall is the building?
Round your answer to the nearest meter.

Answers

Answer:

96 m

Step-by-step explanation:

Create a proportion where x is the height of the building:

[tex]\frac{2.8}{1.46}[/tex] = [tex]\frac{x}{50.25\\}[/tex]

Cross multiply and solve for x:

1.46x = 140.7

x = 96

So, the height of the building is approximately 96 m tall

"the sum of a number and 4."​

Answers

Answer:

The sum of a number and 4 is

n + 4.

Without the value of n, nothing more can be said

Answer:

n + 4

Step-by-step explanation:

Let the number be n

Then we add ("sum up") n and 4 together.

n + 4

if 2x°and 3x°are adjacent angles in linear pair and find them​

Answers

Step-by-step explanation:

2x°+3x°=180°[ sum of adjacent angle]

or,5x°= 180°

or,x°= 180°/5

x°=36°

2x°= 2× 36°= 72°

3x°= 3 × 36°= 108°

can you pretty please solve this math equation for me 5+2=4

Answers

5+2= 7 it would have to be like 2+2=4.

Find the midpoint of the line segment from (-4,-3) to (3,3)

Answers

The correct answer is (-1/2, 2)

Answer:

It is (-0.5, 0)

Step-by-step explanation:

Mid-point formular:

[tex]{ \bf{midpoint = (\frac{x_{1} + x _{2} }{2} , \: \frac{y_{1} + y_{2} }{2}) }}[/tex]

x1 is -4

x2 is 3

y1 is -3

y2 is 3

[tex]{ \sf{ = ( \frac{ - 4 + 3}{2} , \: \frac{ - 3 + 3}{2}) }} \\ \\ { \sf{ = ( - \frac{1}{2} , \: \frac{0}{2}) }} \\ \\ = { \sf{( - 0.5, \: 0)}}[/tex]

Find the slope of the line passing through the points (-5, 3) and (7, 9)

Answers

Answer:

For any two points (a,b) and (c,d) ,

the slope of the line is (d-b)/(c-a)

plug in your given values, let me know what you get

Step-by-step explanation:

913,256 write the digit in the ten thousands place

Answers

Answer:

1 is in the ten thousands, also know as 10,000

Plz help ASAP need fast plz will mark Brainlyist

Answers

Answer:

The correct answer is the third one. CIRCUMFERENCE

22b^9 divided by -2b^5

Answers

Answer:

-11 bytes4Step-by-step explanation:

Will mark as brainliest!

Answers

Answer:

[tex]f=12-\frac{t}{20}[/tex]

Step-by-step explanation:

abhivardhansinghrathore7979​

Answers

Answer:

hlo

Step-by-step explanation:

which Id I s ths and if u needs we can play t or d join eew-vtej-rxt

Answer:

thanks for the point back

Step-by-step explanation:

thanks

expand
64 - 16 [tex]a^{2}[/tex]

Answers

Step-by-step explanation:

Remember the formula a^2-b^2=(a-b)(a+b)

11. Which of the following equations has NO
solution?

A. a +2=a+2
B. a=-a + 2
C. a + 2 = a-2
D. a + a=2


HEELPP:(

Answers

Answer:

a + 2 = a-2

step-by-step explanation

a+2 = a+2 has infinite solutions cuz put any value on a

a=-a+2 well, simplify
2a=2 (a=1)
Unique solution

a + 2 = a - 2
Simplify
4=0 not possible
a doesn’t have any value but just to be sure check d and tell me in the comments

In the word problem below, what answer or solution are you being asked to
find?
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O A. 6-2=?
O B. 6 + 2 = ?
O C. 6 x 2 = ?
O D. 6 - 2 = ?

Answers

Answer:

the answer is C 6x2 .....................

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