If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).

Answers

Answer 1

Answer:

(f + g)(x) = 4x + 1

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = x - 4 + 3x + 5 = 4x + 1


Related Questions


What is the volume please help me please

Answers

It may be 1296ft cubed

Answer:

1296

(Length x Width x Height)

6x18x12=

1296

I hope this helped! ♡+*

Which one is the greatest volume

Answers

Answer: The First Cylinder has more volume

Step-by-step explanation:

1. V = 471.24

2. V = 282.74

Solve for the value of r.

Answers

Answer:

r = 20

Step-by-step explanation:

4r - 5 + 105 = 180

4r + 100 = 180

4r = 80

r = 20

y=(x/8+w) solve for w

Answers

the answer is w=-x/8+y

Question 2(3 - 3x) = -18

Answers

Answer:

x=4

Step-by-step explanation:

1. Rearrange terms

[tex]2(-3x+3)=-18[/tex]

2. Distribute

[tex]-6x+6=-18[/tex]

3. Subtract 6 from both sides of the equation

[tex]-6x+6-6=-18-6[/tex]

4. Simplify by subtracting the numbers

[tex]-6x + 6-6=-18-6[/tex]

[tex]-6x=-18-6[/tex]

[tex]-6x=-24[/tex]

5. Divide both sides of the equation by the same factor

[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]

6. Simplify

a) Simplify the fraction

[tex]\frac{-6x}{-6} = \frac{-24}{-6}[/tex]

[tex]x = \frac{-24}{-6}[/tex]

b) Divide the numbers

[tex]x=+4[/tex]

7. Remove the postive sign.

[tex]x=4[/tex]

X=4 hope this helps you

HELP TIMED IS THIS RIGHT?

Answers

Answer:16 is the answer of your question

hope it is helpful to you

Joe needs to get to his house,which is 106 miles away in 2 hours.How fast does he need to drive

Answers

Answer:

53

Step-by-step explanation:

106 miles per hour would get him home in 1 hour but it takes 2 hours so you can divide 106 by 2 to 53 miles per hour.

Fox vvgggfffdfccvvvgttg

(2z+2)(z^2+z–2) please help

Answers

Answer:

2z^3+4z^2-2z-4

Step-by-step explanation:

Distribute

2z^3+2z^2-4z+2z^2+2z-4

Simplify

2z^3+4z^2-2z-4

If the distance from A (5,6) to B (1, b) is twice the distance from B to
C(1, -3), determine the possible values of b.

Answers

Answer:

The possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.

Step-by-step explanation:

From statement we know that [tex]AB = 2\cdot BC[/tex]. By Analytical Geometry, we use the equation of a line segment, which is an application of the Pythagorean Theorem:

[tex]AB = 2\cdot BC[/tex]

[tex]\sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}} = 2\cdot \sqrt{(x_{C}-x_{B})^{2}+(y_{C}-y_{B})^{2}}[/tex] (1)

Where:

[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.

[tex]y_{A}, y_{B}, y_{C}[/tex] - y-Coordinates of points A, B and C.

[tex](x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2} = 4\cdot (x_{C}-x_{B})^{2}+4\cdot (y_{C}-y_{B})^{2}[/tex]

Then, we expand and simplify the expression above:

[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} +x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot (x_{C}^{2}-2\cdot x_{C}\cdot x_{B}+x_{B}^{2})+4\cdot (y_{C}^{2}-2\cdot y_{C}\cdot y_{B}+y_{B}^{2})[/tex]

[tex]x_{B}^{2}-2\cdot x_{A}\cdot x_{B} + x_{A}^{2} +y_{B}^{2}-2\cdot y_{A}\cdot y_{B} + y_{A}^{2} = 4\cdot x_{A}^{2}-8\cdot x_{C}\cdot x_{B}+4\cdot x_{B}^{2}+4\cdot y_{C}^{2}-8\cdot y_{C}\cdot y_{B}+4\cdot y_{B}^{2}[/tex]

If we know that [tex]x_{A} = 5[/tex], [tex]y_{A} = 6[/tex], [tex]x_{B} = 1[/tex], [tex]y_{B} = b[/tex], [tex]x_{C} = 1[/tex] and [tex]y_{C} = -3[/tex], then we have the following expression:

[tex]1 -10 +25 +b^{2} -12\cdot b+36 = 100 -8 +4 +36+24\cdot b +4\cdot b^{2}[/tex]

[tex]b^{2}-12\cdot b +52 = 4\cdot b^{2}+24\cdot b +132[/tex]

[tex]3\cdot b^{2}+36\cdot b +80 = 0[/tex]

This is a second order polynomial, which means the existence of two possible real solutions. By Quadratic Formula, we have the following y-coordinates for point B:

[tex]b_{1} \approx -2.944[/tex], [tex]b_{2} \approx -9.055[/tex]

In consequence, the possible values of [tex]b[/tex] are -2.944 and -9.055, respectively.

what is 1/4 compared to 25%

Answers

Answer:

i dunno if this will help any but i think 1/4 and 25% is the same since 100/4=25

Step-by-step explanation:

if it doesn't i'm sorry for waisting ur time-

1/4 is equal to 25%. I know this because 1/4 is equal to 25/100.

Correct me if I’m wrong.

. A carbon filter is used by a scientist to filter out small particles of soil and rocks
from a water sample taken from a stream. The exponential function f(x) =
500(0.35) * can be used to model the function. Which of the following could be
represented by the value 500 in the function rule?

Answers

Answer:

C- The size of the initial water sample, in gallons.

Step-by-step explanation:

How many liters are there in 6 gallons?

Answers

Answer:

6 gallons = 3.785 liters

Answer:

1.5850323141      

Step-by-step explanation:

Jim has 28 mangoes he gave Tom 8 how many does Jim has

Answers

Answer: 20 mangoes.

Step-by-step explanation: This is a simple subtraction problem. If you take away 8 from 28, you'll have 20.

28 - 8 = 20

Suppose we are interested in bidding on a piece of land and we know one other bidder is interested. The seller announced that the highest bid in excess of $10,200 will be accepted. Assume that the competitor's bid x is a random variable that is uniformly distributed between $10,200 and $14,500.
a. Suppose you bid $12,000. What is the probability that your bid will be accepted?
b. Suppose you bid $14,000. What is the probability that your bid will be accepted?
c. What amount should you bid to maximize the probability that you get the property?
d. Suppose you know someone who is willing to pay you $16,000 for the property. Would you consider bidding less than the amount in part (c)? Why or why not?

Answers

Answer:

0.4185;

0.8835;

$14500;

No

Step-by-step explanation:

Given that :

a = 10200

b = 14500

f(y) = 1 /(b - a) = 1/(14500 - 10200) = 1/4300 = 0.0002325

A.)

P(x <12000) = ∫fydy at(12000 ; 10200) = ∫0.0002325dy at(12000 ; 10200)

P(x < 12000) = 0.0002325(12000) - 0.0002325(10200) = 0.4185

B.)

P(x <14000) = ∫fydy at(14000 ; 10200) = ∫0.0002325dy at(14000 ; 10200)

P(x < 14000) = 0.0002325(14000) - 0.0002325(10200) = 0.8835

(c.) 14500 ; because competitor's bid is at most 14500

D.) No ; Because by bidding $14500 ; getting the property is certain ; once the property is gotten, then it could be resold for $16000, to make a profit of $1500 ; by bidding less, winning the bid becomes uncertain which may means the profit might be lost in the long run.

A bicycle is on sale at a 15% discount. The sale price is $680. What was the original price?

Answers

Answer:

$800 is the original price

Step-by-step explanation:

15% discount

if 85% = $680

100% =?

100/85 * $680

=$800

Answer:

800

Step-by-step explanation:

A 5-foot tall student stands 15 feet from a flagpole. The student

casts a shadow 6 feet long which ends at exactly the same point

as the shadow of the flagpole.

How many feet tall is the flagpole, to the nearest tenth of a foot?

Answers

Answer:

17.5 ft

Step-by-step explanation:

Draw a picture as shown in the attached image. From the image, you can see that a proportion can be set up comparing the height of the flagpole and student to their respective shadows. Once you set up the proportion, solve to get the height of the flagpole.

help plssssssssssssssssss

Answers

Answer:

3) Not equivalent

4) Equivalent

5) Equivalent

(Multiply by two for the last two questions)

What will the function f(x) = x² look like translated 3
units right and 8 units down?

Answers

Answer:

it will look the same, just shifted.

Step-by-step explanation:

The parabola will be the same shape, size, etc., it will simply be in a different location. Instead of the bottom of the parabola being at (0,0), it will be at (3, -8). translated right 3, down 8.

Solve the equation 6 = p -8

Answers

Answer:

p = 14

Step-by-step explanation:

6 = p - 8

We want to isolate p, so add 8 to both sides.

6 + 8 = p

Add.

14 = p

Hope this helps!

Answer is: P = 14

Switch up the numbers.

6 = p - 8 → 6 + 8 = P

Solve for P.

6 + 8 = 14

Hence, 14 is the answer.

Yolanda painted 2/5 of a wall in 40 minutes. If she keeps painting at the same rate, how much longer will it take her to finish painting the wall

Answers

Answer:

60 minutes

Step-by-step explanation:

She painted 2/5 of the wall.

She still needs to paint 3/5 of the wall.

3 is 50% more than 2, so 3/5 is 1.5 times 2/5, so it will take her 1.5 times the time it took so far.

1.5 * 40 minutes = 60 minutes.

Answer: 60 minutes

) Which expressions show the total area of the tiny house in square feet? Choose ALL that apply. 36x + 24 24x + 36 2.(12 + 3) 12(2x + 3)​

Answers

Hi for this answer you see

Answer:

24x+36 and 12(2x+3)

Step-by-step explanation:

I just did it

Please help me with this
−3+5+6g=11−3g
-Aster

Answers

Answer:

g=1

Step-by-step explanation:

6g+3g=-3g+9+3g, add 3g to both sides and you get closer to the answer

Answer:

g=1

Step-by-step explanation:

solved and got the same answer

I need help on 8

...............................

Answers

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Answer:

55

Step-by-step explanation:

60 minutes is an hour 60 - 5 is 55

Marcus has 25 baseball cards. Each card is worth a different amount of money. The cards also represent players from different teams in the MLB.3 There are two types of data that we can collect - numerical and categorical. 1 What is an example of numerical data that Marcus can collect about his baseball cards?2 What is an example of categorical data that Marcus can collect about his baseball cards?

Answers

1. You can find what the cheapest and most expensive card is.

2. You could find what percent of the people on your cards are brunettes.

You could also find what the average strikes for a team.

You're welcome

Write 10x 10x 10x 10x 10x 10x 10x 10 with an exponent. Explain how you decided what exponent to write. 10x 10x 10x 10x 10x 10x 10x 10= _____. Since _____ is used as a factor _____ times, the exponent is _____. Please help me!

Answers

Answer:10 to the power of 8

Step-by-step explanation:since 10 is used as a factor 8 times, the exponent is 10 to the power of 8.

C=2πr
Diameter is 10​

Answers

Dont press that link is a scam or a hack something like that don’t press it

Kailynn observed a SpaceX rocket on the launch pad in Cape Canaveral, Florida. The rocket is 230 feet tall, and Kailynn measures the angle of elevation between the base and the top of the rocket to be 5 degrees. How far is she from the base of the rocket?

A-2629feet
B-2639feet
C-20feet
D-231feet
And explain

Answers

Answer:

i think B

Step-by-step explanation:

a rectangle has an area of 140. length is 4 feet longer than the width. I need to find the length and the width

Answers

Answer:

140=(w+4)×w

140=w²+4w

w²+4w-140

w=10

l=w+4

l=14

Yukarıda verilen şekilde,
[LK // [NP, m(LMN) = 40°, m(KLM) = aº,
m(MNP) = bº ve b = a + 70°'dir.
Buna göre a kaç derecedir?
A) 30
B) 35
C) 60
D) 75

Answers

C, 60 hope this helps it helped me on my test

A Customer Telephone Center receives 1,200 calls in a 24-hour period. Of these calls, 75% occur between 9:30 a.m. and 3:30 p.m., and calls are evenly distributed during this time. If each person handles 10 calls an hour, how many people are needed to handle calls during these hours

Answers

Divide Total time into two Time Periods. A regular Demand and a High Demand Time Period. Since 75% of the 1,200 calls occur between 9:30 am and 3:30 pm. We multiply .75 x 1,200 to get 900. We get an average of 900 calls every day between the hours of 9:30 am and 3:30 pm – Our net time for this time period is 6 hours.

Therefore, 6 Hours/900 becomes our quotient

Again, since the denominator is larger we invert it to 900 calls/6 Hours

To get a demand of 150 calls per hour.

We need to be able to handle 150 calls per hour.

So how Many Call Representatives are needed?

Again, our historical data tells us that each person can handle 10 calls an hour.

Therefore 150 calls per hour /10 Minutes = 15 Customer Service Representatives are needed during Peak Time!

Now, Subtract the Peak Hours from the 21 Hours Net Time Per day, gives us 15 Non-Peak hours we have to staff.

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