A. (f- g)(x) = -7x - 3

B. (f- g)(x) = x - 3

C. (f - g)(x) = -7x + 3

D. (f- g)(x) = x - 7

**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**

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

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.

What is 540 into standard form

**Answer:**

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

**Step-by-step explanation:**

hoped that helped:P

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

**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

pls help meeeeeeeeeeee

**Answer:**

b=22/15 or 1.46 repeating

**Step-by-step explanation:**

5 MINUTES to answer pls help.

20 Points

**Answer:**

-7

**Step-by-step explanation:**

**Answer:**

-7

**Step-by-step explanation:**

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

-3-5+1

-8+1

-7

HELP ME GUYS PLEASE! :)

**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! :)

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

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

Definition of Variable and Constant with examples!

Spam free answers required!

**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.

Desperately need help on question 2 & 3 !

13

x=15

because of the other one is the only thing

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

Hello! :p

Original: **8+3x=-9y **

**standard form: 3x + 9y = -8 **

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

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)

**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

what is 850000+21195=

**Answer: 871195
**

**Step-by-step explanation:**

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

**Answer:**

1 ft=18 in or 1ft=11in

**Step-by-step explanation:**

:D

PLEASE HELP ME WITH THIS

**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.

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

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

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

**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

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

**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

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.

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

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?

**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.........

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

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 :)

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 :)

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.

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%.

**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** ol**d** 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 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.

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

can someone plz help with math?!

**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:**

༒Question༒

refer to attachment

nonsense will get report

**Answer:**

REFER TO ATTACHEMENT

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

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

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

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

[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

Please help with this

**Answer:**

the value of ST is 2 of its x is 2

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

**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]

what is the answer please help!!!

(asap)

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!!

What is the area of the trapezoid?

**Answer:**

45 ft²

**Step-by-step explanation:**

I hope this helps!

Help me!!! due in 2 mins!!! Simplify??!?!?????!!!! ;). Pleeeeaaaassseee
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