If f(x) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).
A. (f- g)(x) = -7x - 3
B. (f- g)(x) = x - 3
C. (f - g)(x) = -7x + 3
D. (f- g)(x) = x - 7

If F(x) = -3x - 5 And G(x) = 4x - 2, Find (f - G)(x).A. (f- G)(x) = -7x - 3B. (f- G)(x) = X - 3C. (f

Answers

Answer 1

Answer:

  A.  (f-g)(x) = -7x -3

Step-by-step explanation:

(f -g)(x) = f(x) -g(x) = (-3x -5) -(4x -2)

  = -3x -5 -4x +2

  = -3x -4x -5 +2

  (f -g)(x) = -7x -3


Related Questions

what is the constant proportionality of y=5/7x

Answers

Answer:  5/7

Explanation:

I'm assuming the equation is [tex]y = \frac{5}{7}x[/tex] which is the same as writing y = (5/7)x.

If so, then the constant of proportionality is the fraction out front: The value 5/7 is the coefficient of the term (5/7)x.

All direct proportion equations are of the form y = kx, where k is the constant of proportionality.  Another example would be y = 12x and this time k = 12.

Definition of Variable and Constant with examples!
Spam free answers required!​

Answers

Answer:

[tex]\large\boxed{\boxed{\boxed{\mathfrak{variable}}}}[/tex]

Variable is a symbol that represents a quantity in a mathematical expression, as used in many sciences. Variable (research), a logical set of attributes. Variable star, a type of astronomical star.

[tex]\large\boxed{\boxed{\boxed{\mathfrak{constant}}}}[/tex]

A constant, sometimes also called a "mathematical constant," is any well-defined real number which is significantly interesting in some way. A function, equation, etc., is said to "be constant" (or be a constant function) if it always assumes the same value independent of how its parameters are varied.

can someone plz help with math?!

Answers

Answer:

150:30

150/30=5

so, every minute he burns 5 calories

Step-by-step explanation:

slope= 1/5

Answer:

Calories per minute: 5 calories

Slope: 1/5

Step-by-step explanation:

Graph: Is it a function? (Yes / no) why or why not?

Answers

short answer: yes.

the definition of a function is a graphical relation in which each x value (input) has only one y value (output). if we use the vertical line test, we can see that each x value on this graph corresponds to one y value and one only. if a certain x value had more than one y value, then it wouldn’t be a function.

hope this helped, i tried to keep this concise but if you need a better explanation let me know :)

please i beg for help !!!!!!!!!!! will mark brainlist

Answers

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

This deals with negative exponents.

[tex]x^{-2}=\frac{1}{x^2}[/tex]

27 and 9 are both powers of 3, so we need to find a way to make both of these into a base 3.

9 is easy, thats just:

[tex]9=3\times3=3^2[/tex]

1/27 is a little more difficult. Start with 27:

[tex]27=9\times3=3\times3\times3=3^3[/tex]

and because its a 1/27, that exponent has to be negative.

[tex]3^3=27\\3^-^3=\frac{1}{27}[/tex]

Now we can get both of them to base 3, so do that in the given equation:

[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}[/tex]

Same as last time, the bases can be canceled out as the exponents have to be equal for this equation to be true.

[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}\\(-3)\times(4-x)=(2)\times(2x-1)[/tex]

Finally, solve for x:

[tex]-3(4-x)=2(2x-1)\\-12+3x=4x-2\\-10+3x=4x\\x=-10[/tex]

Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues? A 3-column table with 3 rows. Column 1 is labeled age with entries 35, 40, 45. Column 2 is labeled 10-year term, male, with entries 1. 40, 1. 64, 2. 7. Column 3 is labeled 10-year term, female, with entries 1. 36, 1. 59, 2. 1. A. $161 b. $185 c. $1,073 d. $24 Please select the best answer from the choices provided A B C D.

Answers

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. $24

Reasons:

The data in the table are presented as follows;

[tex]\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right][/tex]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ $24

Learn more about insurance premiums here:

https://brainly.com/question/3053945

Answer:

$24 or D, Hope this helps :D

Step-by-step explanation:

What is the area of the trapezoid?​

Answers

Answer:

45 ft²

Step-by-step explanation:

I hope this helps!

Please help with this

Answers

Answer:

the value of ST is 2 of its x is 2

pls help meeeeeeeeeeee

Answers

Answer:

b=22/15 or 1.46 repeating

Step-by-step explanation:

Desperately need help on question 2 & 3 !

Answers

13

x=15

because of the other one is the only thing

what is the answer please help!!!
(asap)

Answers

So I could only figure out question 8, 9, 10, and maybe 12.

Answer:

8.) x=29

9.) <b=32

10.) <z=106

?? 12.) 128 i think

Step-by-step explanation:

8.) 1st step is to take the angle on the outside and subtract it from 180 to get the inside missing angle. You then get 49. Then you add up all of the inner angles and equal it to 180.

2x+1+3x-15+49=180

After this you add up all of the similar terms.

5x+35=180

Now subtract 35 from both side to get

5x=145

Now divide each side by 5 and you should get 29

so x=29.

9.) First step is to add all of the angles together and equal to 180.

x+28+x-28+x=180

Next add all of the like terms together.

3x=180

Now divide each side by 3 to get x=60.

Don't stop there. Now fill in the x at <b.

(60)-28 which equals 32. so <b=32

10.) First step is to add all of the angles together and equal them to 180.

x-9+x-1+3x-20=180

Next add all of the like terms together.

5x-30=180

Now add 30 to both sides.

5x=210

now divide both sides by 5 to get x=42

Don't stop there.

Now fill in the answer for x in the <z spot.

3(42)-20

<z=106

12.) Okay so I am not 100% sure this is right but I tried it on desmos and it worked out.

Okay so first i did 3x-28+x=180

By using desmos, I got the answer x=52

Basically all it did was

4x-28=180

add 28 to both sides to get 4x=208

then we divide by 4 on both sides to get x=52

after that you fill in the x for the outer angle because that is what it is asking for.

you then get <QST=128

I know its not all of them but i hope this helps!!

A company needs to package 2,400 pencils. A box in the shape of a rectangular prism can hold 60 pencils. A cylindrical container can hold 80 pencils. Each box costs the company $0. 50, while each cylindrical container costs $0. 75. Which packaging should the company use to minimize cost? Explain. The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $2. 50 less than using the rectangular boxes. The rectangular prism boxes should be used because they will cost the company $5. 00 less than using the cylindrical containers. The cylindrical containers should be used because they will cost the company $5. 00 less than using the rectangular boxes.

Answers

The true statement is (a) The rectangular prism boxes should be used because they will cost the company $2. 50 less than using the cylindrical containers.

The given parameters are:

[tex]Pencils = 2400[/tex] --- the pencils needed

The number of pencils the prism can hold is:

[tex]Prism =60[/tex]

Divide the number of pencils needed by the number of pencils in 1 rectangular prism, to calculate the number of prisms needed (n1)

[tex]n_1 = \frac{Pencils}{Prism}[/tex]

So, we have:

[tex]n_1 = \frac{2400}{60}[/tex]

[tex]n_1 = 40[/tex]

A rectangular prism costs $0.50.

So, the total cost is:

[tex]Total\ cost = 40 \times 0.50[/tex]

[tex]Total\ cost = \$20[/tex]

The number of pencils the cylinder can hold is:

[tex]Cylinder=80[/tex]

Divide the number of pencils needed by the number of pencils in 1 cylinder box, to calculate the number of cylinders needed (n2)

[tex]n_2 = \frac{Pencils}{Cylinder}[/tex]

So, we have:

[tex]n_2 = \frac{2400}{80}[/tex]

[tex]n_2 = 30[/tex]

A cylinder costs $0.75.

So, the total cost is:

[tex]Total\ cost = 30 \times 0.75[/tex]

[tex]Total\ cost = $22.5[/tex]

By comparison, the rectangular prism costs $2.5 less than the cylinder

Hence, the true statement is (a)

Read more about volumes at:

https://brainly.com/question/1908836

what is 850000+21195=

Answers

Answer: 871195

Step-by-step explanation:

5 MINUTES to answer pls help.

20 Points

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

Find a scale with a unit of 1 and choose the correct answer (for example, 1 cm=7 yards).


Car 18ft moele 5in

Scale: _____
1 in = 3.6 ft
1 ft=18 in
1 in = 10 ft
1 ft=11 in

Answers

Answer:

1 ft=18 in or 1ft=11in

Step-by-step explanation:

:D

Spencer has a wooden post that is five and three sevenths feet long. He cut two and one half feet off the post. What is the length of the remaining post in feet?

Answers

Answer:

  2 13/14 feet

Step-by-step explanation:

The remaining length is the difference between the starting length and the amount cut off:

  5 3/7 - 2 1/2 = (5 -2) +(3/7 -1/2) = 3 +((3·2-7·1)/(7·2)) = 3 -1/14

  = 2 13/14 . . . feet remaining

_____

Additional comment

Addition and subtraction of fractions can be accomplished using a formula that does not rely on finding a least common denominator. In this case, the denominators have no common factors, so their product is, in fact, the least common denominator.

  [tex]\dfrac{a}{b}-\dfrac{c}{d}=\dfrac{ad-bc}{bd}[/tex]

Answer:

3 and five fifthteenths or  3 and 4/9

Step-by-step explanation:

i think so.........

Write the linear equation into Standard Form. 8+3x=-9y

Answers

Hello! :p

Original: 8+3x=-9y

standard form:  3x + 9y = -8

I hope this helps! Have a wonderful day! :)

What does the point (12,45) represent?
A
For 45 dictionaries, the cost is $12.
B The cost of each dictionary is 12 divided by $45.
C
The cost of 12 dictionaries is $45.
D
The total cost of the dictionaries is 12 times $45.

Answers

I think it might be A I’m not sure though but you can try it :)

HELP ME GUYS PLEASE! :)

Answers

Answer:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Step-by-step explanation:

4x + 5y = 19 - (x + 5y = 16)

4x - x = 3x

5y - 5y = 0

19 - 16 = 3

3x = 3

x = 1

4x + 5y = 19

4(1) + 5y = 19

4 + 5y = 19

5y = 15

y = 3

Solution: (1,3)

Hope this helps! :)

1 A recipe uses 1 - cups of milk to make 10 servings. If the same amount of milk is used each serving, how many servings can be made using 1 gallon of milk? Show your work​

Answers

Answer:

160 servings

Step-by-step explanation:

Step One:

1 gallon=16 cups

1 cup=10 servings

Step Two:

Multiply 16 by 10

which gives you your answer 160

In a factory 54,680 parts were made. If 300 parts were found to be defective what is the percent of error?

Answers

0.54864667154353% i think this is it. you may be able to only put 0.55% or 0.54%

In 1–2 sentences, explain what should be included in the outline for an argument. Use specific details to support your answer.(2 points)

Answers

It should b noted that the main things that should be included on the outline for an argument include the introduction, body, and conclusion.

The introductory paragraph outlines the topic and provides background information that is important for the readers to understand the argument.

The body paragraphs explain the reasons that support the thesis. It clearly explains why the reader should agree with the position stated.

Lastly, the conclusion restates the thesis and then summarizes the arguments made.

Learn more about essays on:

https://brainly.com/question/24799048

Answer:

You can use outline details for each topic and subtopic in your paper organizing, these points so that they can build your argument toward an evidence-based conclusion. Writing an outline will also help you focus on the task at hand and avoid unnecessary tangents, logical fallacies, and underdeveloped paragraphs so you can identify the research problem.

MARK ME BRAINLIST

Teresa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.08 per mile driven, The second plan has an initial fee of $48 and costs an additional $0.10 per mile driven. For what amount of driving do the two plans cost the same? Omiles What is the cost when the two plans cost the same? $0​

Answers

Answer:

1. 550 miles

2. $103

Step-by-step explanation:

y = total rental cost

m = initial fee

x = cost per mile

n = number of miles

Plan 1: y = m + xn = 59 + 0.08n

Plan 2: y = m +xn = 48 + 0.10n

Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550

Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103

Help. I can’t seem to figure out what to do

Answers

Answer: Both of the Givens go in the left top boxes, and then in the right top boxes you would put B is the midpoint of AD and CE and then AC is equal to DE. In the third and fourth boxes on the left, you would put CB = EB and then AB is equal to DB. In the third and fourth boxes on the right you put both of the Def. of Midpoints. Then, in the last box to the left, you would put triangle ABC = DBE. In the final box to the right you would put Side-Side-Side Congruency.

Step-by-step explanation:

1) ac≅de, given

2) b is the midpoint, given

3) ab≅db, defn midpoint

4) cb≅eb, defn midpoint

5) abc≅dbe, side side side

༒Question༒


refer to attachment


nonsense will get report​

Answers

Answer:

REFER TO ATTACHEMENT

I HOPE IT IS HELPFUL

Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).

Answers

The solution of the given equation is (3,6). The correct option is B.(3,6)

Given equations,

[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]

How to solve the equations?

putting the value of y from equation (1) in equation (2) , we get

[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]

substitute the value of x=3 in equation (1) we get,

[tex]y=3+3\\y=6[/tex]

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

https://brainly.com/question/12895249

the current temperature in small town is 20 degrees fahrenheit this is 6 degrees less than twice the temperature that it was 6 hours ago

Answers

20 +6= 26 26 x2 =52 so it is 52 degrees 6hrs ago

PLEASE HELP ME WITH THIS

Answers

Answer:

  35/132

Step-by-step explanation:

The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...

  (7/12)(5/11) = 35/132 . . . P(b=P&g=VP)

__

We can also look at this another way.

The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.

_____

Additional comment

These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.

What is 540 into standard form

Answers

Answer:

5.40 x [tex]10^{2}[/tex]

Step-by-step explanation:

hoped that helped:P

Solve by factoring : x^2-5x-36=0
Part III: The sum of your two factors must be -5. Which of your factor pairs
above could produce this sum? (2 points)

Answers

Answer:

-9 and +4 are the factors

Step-by-step explanation:

-9 times +4 is -36 and if you add +4 to -9, you get -5.

After this your function will look like this:

[tex]x^2-9x+4x-36[/tex]

and then:

[tex]x(x-9)+4(x-9)[/tex]

so the answer is:

[tex](x-9)(x+4)[/tex]

the correct answer is x= 9 and -4 :) hope this helps
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