If ƒ(x) = x − 4 and g(x) = 3x + 5, find (ƒ + g)(x).

Answers

Answer 1

Answer:

[tex](f+g)(x)=4x+1[/tex]

Step-by-step explanation:

We are given the two functions:

[tex]f(x)=x-4\text{ and } g(x)=3x+5[/tex]

And we want to find:

[tex](f+g)(x)[/tex]

This is equivalent to:

[tex]=f(x)+g(x)[/tex]

By substitution:

[tex]=(x-4)+(3x+5)[/tex]

Rearranging yields:

[tex]=(x+3x)+(-4+5)[/tex]

Combine like terms:

[tex]=4x+1[/tex]

Hence:

[tex](f+g)(x)=4x+1[/tex]

Answer 2

Answer:

please refer to the above attachment

[tex] \boxed{(4x + 1) \: is \: the \: right \: answer.}[/tex]

If (x) = X 4 And G(x) = 3x + 5, Find ( + G)(x).

Related Questions

Solve the equation. b/6 = 3 b=​

Answers

B = 18. Yoh would multiply 6 to 3 which is 18

Answer:

b = 18

Step-by-step explanation:

We do the inverse operation thing:

3 x 6 = 18

We can check it by filling it in:

18/6 = 3

So b = 18

Philip wrote the following inequality on the board:
g> 15 Which value for g makes this statement true?
A. 17
B. 15
C. 13
D. 10

Answers

Answer:

A is the answer! (hope I wasn't too late)

Which of the following expressions has the greatest value?
110
33
52
25

Answers

Answer:

2^5

,,,,,,,,,,, ,,,,,,,,,

CUCU
3) Which function represents the sequence? 45, 40, 35, 30, 25,-
OA) f(x) = 45x -5
OB) f(x) = 45 - 5(x - 1)
OC) f(x) = 5 - 45(x - 1)
OD) f(x) = 5x + 45
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Answers

Answer:

B

Step-by-step explanation:

well, the sequence are in the form

[tex]a1, a2, a3, a4, a5, ... , an[/tex]

a1 = first term = 45

you can plug 1 to any of the option

and ended with B the only function that satisfies what we need

An online furniture store sells chairs for $200 each and tables for $650 each. The
store must sell no less than $12000 worth of chairs and tables each day. Write an
inequality that could represent the possible values for the number of tables sold, t, and the number of chairs sold, c, that would satisfy the constraint.

Answers

Answer: There’s alot of answers but one of the is 18 table with the cost of 11,700$ and 1 chair with 200$ so in totally it 11,900, less then 12,000

Step-by-step explanation:

Katrina used 2 5/6 packs of mechanical pencils in the first 2/3 of the year.
At what rate is Kelly using mechanical pencils?
A. 1 8/9 packs per year
B. 2 1/6 packs per year
C. 3 1/2 packs per year
D. 4 1/4 packs per year

Answers

Katrina is using 21//6 (B) packs per year


could anyone help me find the area of this please :)

Answers

Answer:

40

Step-by-step explanation:

if you cute the shape into 2 triangles and move them to make a square you'll get 5 and 8, then multiply them together and you'll get 40

The ratio of tea drinkers to soda drinkers at a university is 7:4. There are 38 soda drinkers. How many tea drinkers are there?

Show the correct work. Set- up the proportion. Show the correct answer.

Answers

Working: Since the ratio is 7 tea drinkers to 4 tea drinkers. We could just do 38/4 which gives us 9.5. Using that value we just go 9.5 x 7. This would give us 66.5 but there cannot be half a person so we must round down unless the question does not require us to do so.

Answer: 66.5/66

John is going to invest in an account paying an interest rate of 3.8% compounded
daily. How much would John need to invest, to the nearest hundred dollars, for the
value of the account to reach $1,880 in 20 years?

Answers

Answer:

900

Step-by-step explanation:

Answer:

900

Step-by-step explanation:

what is (-6,-2)×1/2 ?​

Answers

Answer:

the answer is (-4 )

If an airplane in a 1 in. : 4 ft. scale drawing is 5 in. long, how long is the actual airplane? Use proportions to solve the problem and show all work. Provide a proper label with your answer.

Answers

Answer:

20ft

Step-by-step explanation:

20ft is the answer because you would do 4 x 5 = 20, since the scale factor is 1in : 4ft

Hope this helped :)

Leslie leaves her house and drives to another city for her
sister's wedding. She drives 77 miles north and then 420
miles east. How far is Leslie from her house? HELP PLEASE

Answers

Answer:

Step-by-step explanation: You have to add the number

420

+77

497

The length of a rectangle is eight more than twice its width. The perminiter is 96 feet . find the deminsions. With the variable, equation, and solution.

Answers

Step-by-step explanation:

lenght = x + 8

width = x

[tex]perimeter = 2(x + 8) + 2(x) \\ 96= 2x + 16 + 2x \\ 4x = 96 - 16 \\ x = \frac{80}{4} \\ x = 20[/tex]

then

Lenght = x + 8 = 20 + 8 = 28

Width = x = 20

Step-by-step explanation:

L=8+2W

P=2L+2W

P=2(8+2W)+2W

P=16+4W+2W

P=16+6W

P=96

96=16-6W

80=6W

W=13.3333

Please find X............

Answers

Answer:

[tex]x=45.57^{\circ}[/tex]

Step-by-step explanation:

Given that,

Hypotenuse, H = 10

Base = 7

We need to find the value angle x. The relation between Hypotenuse, Base and the angle x is given by :

[tex]\cos\theta=\dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\cos\theta=\dfrac{7}{10}\\\\\theta=\cos^{-1}(\dfrac{7}{10})\\\\\theta=45.57^{\circ}[/tex]

So, the value of x is [tex]45.57^{\circ}[/tex].

Please and thanks DUE IN 5min

Answers

Answer:

3 and 1/4

Step-by-step explanation:

-2n - 5 = 17 what does n=

Answers

N equals either 6 or -6 I’m not sure

Answer:

Step-by-step explanation:

Here you go mate

Step 1

-2n-5=17  Equation/Question

Step 2

-2n-5=17  Simplify

-2n-5=17

Step 3

-2n-5=17  subtract 5

-2n=-22

Step 4

-2n=-22  Divide

answer

n=-11

Hope this helps

what is the equation of the line passing through the point (2,-1) with a slope of -3

Answers

Note: this answer assumes that the equation of the line must be in slope-intercept form.

Answer:

[tex]y= -3x + 5[/tex]

Explanation:

When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.

The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

[tex]y-(-1) = -3(x-(2))[/tex]

[tex]y+1 = -3(x-2)[/tex]

Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:

[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]

Therefore, [tex]y= -3x + 5[/tex] is the answer.

Please solve if so thank you so much!!

Answers

Answer:

60 x 4

Step-by-step explanation:

Answer:

y=35x+60

x=4

Step-by-step explanation:


Can anyone solve this?

Answers

Answer:

x = 35°

∠Q = 127°

∠R = 35°

 ∠P  = 18°

Step-by-step explanation:

x + 2x + 57 + x - 17 = 180  {Angle sum property of triangle}

x + 2x + x +57 -17 = 180            {Combine like terms}

         4x  + 40      = 180

                      4x  = 180 - 40

                      4x = 140

                         x = 140/4

                       x = 35

∠Q = 2x + 57 = 2*35 + 57 = 70 +57 = 127°

∠R = x = 35°

∠P = x - 17 = 35 - 17 = 18°

Angle 1 and Angle 2 are a linear pair. Angle 1=x-15, and angle 2=x+77. Solve for x then find the measure of each angle.

Answers

Answer: x=59, angle 1= 44˚, angle 2= 136˚

Step by step explanation:

Linear pairs add to make 180˚.

So angle 1 + angle 2= 180˚

Therefore x-15+x+77= 180

Add the x’s to get 2x
And then -15+77 to get 62.

So 2x+62=180
Subtract 62 to get 2x=118
Then divide by 2 to get x=59

Then substitute the x value into the angle equations

So angle 1 will be 59-15 which is 44˚
And angle 2 will be 59+77 which is 136˚

Need answer ASAP. Will give brainliest

Answers

Answer:

b

Step-by-step explanation:

V 34

Answer:

B

Step-by-step explanation:

credit to the other person

700
630
560
490
420
nt
350
ur
280
s)
210
140
70
0
3
The value of y when x is 0

Answers

please pic the photo correct ly

15 points!! Please help

Answers

Answer:

3 feet

Step-by-step explanation:

Answer:

3 feet

Step-by-step explanation:

A dilation is changing the size of a figure. A factor of 2.5 would mean to multiply it by 2.5.

1.2 x 2.5 is 3

3 ft is the answer

Help me please! I am in desperate need

Answers

Answer:

C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Step-by-step explanation:

The binomial theorem is given as:

[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]

[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].

*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]

Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

1. 1.7, 0.9, 1.07, 1.9, 0.7
6. 3.21, 3.021, 3.12, 3.121
2. 2.0342, 2.3042, 2.3104, 2.4 7. 5.5, 5.059, 5.0090, 5.05
3. 5, 5.012, 5.1, 0.502
8. 0.09, 0.012, 0.0089, 0.0189
4. 0.6, 0.6065, 0.6059, 0.6061 9. 1.3, 1.309, 1.03, 1.39
5. 12.9, 12.09, 12.9100, 12.9150 10.4.01, 4.0011, 4.011, 4.101​

Answers

Answer:

3

Step-by-step explanation:

PLEASE HELP
Simplify the expression 5^3+3(5-3)
A.137
B.131
C.27
D.21

Answers

Answer:

the correct answer is 131

Step-by-step explanation:

5^3 +3(2)

= 125 +6

=131

A student was studying the relationship between how much money students spend on food and on entertainment per week. Based on a sample size of 270, he calculated a correlation coefficient (r) of .013 for these two variables. Which of the following is an an appropriate interpretation?

a. This low correlation of .013 indicates there is no relationship.
b. There is no linear relationship but there may be a nonlinear relationship.
c. This correlation indicates there is some type of linear relationship.

Answers

Answer:

The answer is "Option b".

Step-by-step explanation:

In this question, the value of the correlation coefficient is 0.013 from the given information. It is the equation, which realized the indeed closer their correlation coefficient is to -1 or 1, the greater the positive correlation, although in this case, the value of the correlation coefficient is 0.013, close to "0".

PLEASE HELP ASAP!!!!!!!!!! IT WILL REALLY HELP

Answers

Answer:

whats the subject? science?

Step-by-step explanation:

Up all the road 6 meters in 12 seconds. What is the speed?​

Answers

Step-by-step explanation:

speed = distance/time

= 6/12 m/s

= 0.5 m/s

Answer:

0.5m/s

Step-by-step explanation:

Formula for speed is distance /time taken

which is 6m/12s,which Is then equal to0.5m/s

You borrow $5000 from the bank at %3 annual interest compounded monthly. The monthly payment is $250z What is the balance after the third payment.

Answers

Answer:

it should be $100,000

Step-by-step explanation:

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