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

A. 5x-1
B. 3x-7
C. 5x-7
D. 7-3x​

Answers

Answer 1

Answer:

B. 3x - 7

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/CoefficientsFunctionsFunction Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4x - 3

g(x) = x + 4

(f - g)(x) is f(x) - g(x)

Step 2: Find

Substitute in functions:                                                                                     (f - g)(x) = 4x - 3 - (x + 4)[Distributive Property] Distribute negative:                                                    (f - g)(x) = 4x - 3 - x - 4[Subtraction] Combine like terms (x):                                                              (f - g)(x) = 3x - 3 - 4[Subtraction] Combine like terms:                                                                   (f - g)(x) = 3x - 7

Related Questions

Select the correct answer.
Which statement is true for the vertical number line?
OA. -2. is located below – 33
OB. -4 is located below 4
OC.
3.25 is located above 3.75.
OD. - is located below -
-2
O E.O is located below -0.87.

Answers

Answer:

option b is answer answer

Answer:

its B

Step-by-step explanation:

A rectangular room’s length is 2 feet less than its’ width and the area of the room is 120 ft^2

Use the formula A= length* width
a. Write algebraic expressions for the length and width .

b. Write an algebraic equation for the area of the room.

c. Solve the equation by factoring and give the dimensions of the room.

Answers

Answer:

a. 120/w = l

120/l = w

b. l times w = 120

Step-by-step explanation:

Step-by-step explanation:

120/W=1

120/W= I

I =W is equal to 10

Question 3 of 10 What is the slope of the line described by the equation below? y= 5x-22 O A. -5 OB. 5 O C. 22 D. -22​

Answers

Answer:

B. 5

Step-by-step explanation:

_________________

Answer:

B)

Step-by-step explanation:

y = 5x - 22

y = mx + c

So the slope is 5

how many cm are in 4metres​

Answers

▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄▀▄  

ᵗᵒᶠᵘ ˡᵒᵍᵍᶦⁿᵍ ᵒⁿ…

⊹˚ʚ ❑Answer︰400 centimeters!!

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

ᵗᵒᶠᵘ ˡᵒᵍᵍⁱⁿᵍ ᵒᶠᶠ...

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Which equation is represented by the graph below?

Answers

Answer:

Step-by-step explanation:

The graph has an initial value (y-intercept) of 6 and a slope of 2/3, using the slope intercept formula, the graph has the equation

y = (2/3)x + 6

Find the value of x in Oo
12
X
10
X
(Simplify your answer.)
Enter your answer in the answer box and then click Check Answer
All parts showing
Clear All

Answers

Answer:

x = 8

Step-by-step explanation:

To get x, we will use the pythagoras theorem;

10² = x² + (12/2)²

100 = x² + 6²

100 = x² + 36

100 - 36 = x²

64 = x²

Swap

x² = 64

x =√64

x = 8

Hence the value of x is 8

1. What is the value of x?
A. 21
B. 41
C. 22
D. 20

Answers

Answer:

I think the answer is 20!!!!!

Answer:20

Explanation:I did this before

PLEASE HELP QUICK ITS TIMED!!


Which statement correctly describes the data shown in the scatter plot?

A: the point (16,4) is an outlier

B: the scatter plot shows a negative association

C: the scatter plot shows no association

D: the scatter plot shows a nonlinear association

Answers

Answer:

b

Step-by-step explanation:

ANSWER:

It should be B but could be wrong

The cost to rent a moving truck is a flat fee of $25 plus $0.60 per mile. The equation c = 25 + 0.6m models the cost, c, in dollars for the number of miles, m, traveled in the truck.

Identify the independent and dependent variables.

The
is the independent variable.

The
is the dependent variable.

Answers

Answer:

Independent- Miles traveled, Dependent- cost

Step-by-step explanation:

3dg3nuity

Answer:

I did it :D

Step-by-step explanation:

The lengths of the sides of a triangle are in the extended ratio 4:7:10. The perimeter of the triangle is 105 cm. What are the lengths of the sides? ​

Answers

Answer:   20 cm, 35 cm, and 50 cm

=========================================================

Explanation:

The sides are in the ratio 4:7:10

This scales up to 4x:7x:10x showing that the sides are 4x, 7x and 10x. The variable x is some positive real number.

Add up the sides and set this equal to the given perimeter 105. Solve for x.

4x+7x+10x = 105

21x = 105

x = 105/21

x = 5

This value is then plugged into each side

4x = 4*5 = 207x = 7*5 = 3510x = 10*5 = 50

The triangle has sides of 20 cm, 35 cm, and 50 cm.

Note how the ratio 20:35:50 reduces to 4:7:10 after dividing all three parts by the GCF 5. Also, we can see that 20+35+50 = 105 to fully confirm our answer.

Please answer this!!!

Lesson 1 Data Problem:

John has to complete a research project on the ape population in Spain. He is trying to estimate the size and population of apes. He randomly catches 37 apes and marks them with paint. He releases the apes Into jungle. The following year he observes 250 apes and he found that 10 were marked with the paint that he used.

Find out the best estimate for the size of the ape population?​

Answers

Answer:925

Step-by-step explanation

What is the volume of the cone in terms of pie

Answers

Answer:

The formula is the area of the base times the one third of the height.  You need to find one third of the height.  Then multiply it by 8.  "In terms of pi" just means you leave the pi symbol beside your number instead of actually multiplying it.

Step-by-step explanation:

1. Joelle's homework covers multiplication with powers of 10. The first question on her homework is 32.4 x 10^2.
What is the value of the expression?
2. How does the number 32.4 change when you multiply it by 10^2?

Answers

Answer:

1. 3240

2. 324×10^-1

Step-by-step explanation:

1. 32.4×10^<2

32.4×100

3240

Answer:

1.

[tex]32.4 \times {10}^{2} = 32.4 \times 100 = 3240[/tex]

2. when you multiply any number has decimal point by 10 power specific number [10^N]

if N is negative move with decimal point move to left On the contrary if N is positive you must move to right

Ex :

[tex]22.4 \times {10}^{ - 1} = 2.24 \\ \\ [/tex]

[tex]22.4 \times {10}^{} = 224[/tex]

What is the radius of a sphere with a volume of 7961 cm", to the nearest tenth of a
centimeter?

Answers

Answer:

12.4 cm

Step-by-step explanation:

Use the sphere volume formula, V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]

Plug in the volume and solve for r, the radius:

V = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

7961 = [tex]\frac{4}{3}[/tex][tex]\pi[/tex]r³

1900.55 = r³

12.39 = r

So, the radius of the sphere is approximately 12.4 cm

Someone please help!!!​

Answers

9514 1404 393

Answer:

  √26

Step-by-step explanation:

The distance formula can help you here.

  [tex]\displaystyle d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(4-(-1))^2+(2-3)^2}=\sqrt{5^2+(-1)^2}=\sqrt{25+1}\\\\d=\sqrt{\boxed{26}}[/tex]

3x – 7 y = -27
16x - 5y = 0
(using the linear equation system and solving for x,y)

Answers

Answer:

x=5 and y=6

Step-by-step explanation:

Step: Solve 3x−7y=−27 for x:

3x−7y=−27

3x−7y+7y=−27+7y

3x=7y−27

[tex]\frac{3x}{3} =\frac{7y-27}{3}[/tex]

[tex]x=\frac{7}{3} y-9[/tex]

Step: Substitute   [tex]\frac{7}{3}y-9[/tex] for x in 6x−5y=0:

6x−5y=0

[tex]6(\frac{7}{3}-9)-5y=0[/tex]

9y−54=0

9y−54+54=0+54

9y=54

[tex]\frac{9y}{9} =\frac{54}{9}[/tex]

Therefore y=6.

Step: Substitute 6 for y in x= [tex]\frac{7}{3} y-9[/tex]:

[tex]x=\frac{7}{3} y-9[/tex]

[tex]x=\frac{7}{3}(6)-9[/tex]

Therefore x= 5.

x= 5 and y= 6

Hope this helped! :)

The table below shows the amount of money Trista earns working different numbers of
hours. Which expression shows how much money Trista earns for working 8 hours?

Answers

Answer:

8*8

Step-by-step explanation:

Hre we can divide the time worked (hrs) by the amount made!

Generally I wouldn't do this for the whole table, but considering its not very big we will!

$16/2hrs =8

$24/3hrs = 8

$40/5hrs = 8

From this we can deduce that every hour, 8 dollars are earned.

The equation would be x=8h

but for this 8dollars * 8 hrs is right!

In order for the data in the table to represent a linear
function with a rate of change
of -8, what must be the
value of a?
O a= 2
O a = 3
A
O a = 19
O a = 35

Answers

Answer:

a = 19

If the rate of change is -8, everytime you do up for x you will minus 8. For example, x = 10 so y = 27 ; x=11 so y = 27-8 = 19 ; x = 12 so y = 19-8 = 11.

Therefore, when x is 11; y is 19

This is not from a test btw for the person who deletes my questions

Answers

Answer:

-8

Step-by-step explanation:

I answered this question a few minutes ago. Value was d = -4

So,

{-12+(-4)}/2

= (-12-4)/2

= (-16)/2

= -8

If IN = 5x – 15 and AT = 55, find x.

Answers

Answer:

If IN = 5x – 15 and AT = 55, find x.

the answer is x=14

Step-by-step explanation:

Jorge y Noelia van a jugar al "4 en línea". Si el tiempo de una partida es de 2 minutos y 30 segundos, ¿cuántas partidas podrían jugar durante 25 minutos?

Answers

Answer:

Pueden jugar 10 partidas en 25 minutos.

Step-by-step explanation:

Sabemos que el tiempo de una partida es:

t = 2min + 30 seg

Queremos saber cuantas partidas se pueden jugar en un total de 25 minutos.

Esto es simplemente igual a la cantidad de veces que podemos "meter" 2 minutos y 30 segundos en 25 minutos, que está dado por el cociente:

N = (25 min)/(2min + 30 seg)

Pero para resolver esto, primero tenemos que tener todos nuestros valores en las mismas unidades.

Sabiendo que 60 se  = 1 min

entonces:

30 seg = (30/60) min = 0.5 min

Entonces podemos reescribir:

t = 2 min + 30 seg = 2 min  + 0.5 min = 2.5 min

Ahora podemos resolver el cociente:

N = (25 min)/(2.5 min) = 10

Esto significa que pueden jugar 10 partidas en 25 minutos.

A number decreases from 25 to 8, what is the percent of decrease?

Answers

Answer:

68%

Step-by-step explanation:

25-8=17

17/25=0.68

68%

Hope this helped :)

8 is a 68% decrease of 25.

What are the zeros of the function y = 2x2 +9x+4 ?
O A. x = -1/2 ,x = -4
O B. x= -1/2 ,x = 4
O c. x= 1/2 ,x = 4
O D. x = 1/2 ,x = -4


THE ANSWER IS A

Answers

Answer:

I think no A. x = -1/2 ,x = -4

The sum of two numbers is 24 and their difference is 8. What is the smaller of the two numbers?

Answers

24-8 (difference) = 16

16/ 2 numbers = 8 is smallest number

8 + 8(difference) = 16 is largest number

The smaller number is 8

Step-by-step explanation:

everything can be found in the picture

200 students appeared in an examination. If 25% of student passed the examination, find the number of student who failed in the examination
a. 150
b. 100
c. 275
d. 175


Answers

Answer:

150 students failed

25% of 200 is 50 therefore 200-50 (50 being the amount of students passed) would be 150

Answer:

A 150student will fail the examination

Calculate the distance between the points K=(-5, 1) and C = (3, -2) in the coordinate plane.

Answers

Answer:

the square root of 5=2.2361


Points J and Kare midpoints of the sides of triangle
FGH.
What is the value of y

Answers

Answer:

7

Step-by-step explanation:

As we can see, the sides of the bigger triangle is twice that or the smaller

Thus, we have it that for similar sides, we simply have to multiply the smaller side length by 2 to give the larger

We have this as:

2(2y + 5) = 5y + 3

4y + 10 = 5y+ 3

5y-4y = 10-3

y = 7

A car had a value of $10,000 and depreciates at a rate of 7% a year. What is the cars value after 3 years.​

Answers

Answer:

Step-by-step explanation:

The exponential decay function is

[tex]v(t)=a(b)^t[/tex] where a is the initial value of the car, b is the rate of decay, and t is the time in years. Our rate of decay can also be written as (1 - r) where r is the depreciation in decimal form. Our equation looks like this:

[tex]v(t)=10000(1-.07)^t[/tex] which simplifies to

[tex]v(t)=10000(.93)^t[/tex] Now we can solve our problem for any number of years you'd like. We've been tasked to find the value of the car after 3 years, so:

[tex]v(t)=10000(.93)^3[/tex] which simplifies a bit to:

[tex]v(t)=10000(.804357)[/tex] so

v(t) = 8043.57

Given: Right triangle ABC with altitude Line segment C D

Prove: a2 + b2 = c2

Triangle A B C is is shown. Angle A C B is a right angle. Altitude h is drawn from point C to point D on side A B to form a right angle. Line segment A D is labeled e, line segment D B is labeled f, side A B is labeled c, side B C is labeled a, and side A C is labeled b.

Complete the paragraph proof.

You can use the similar triangles formed by the altitude to write ratios for corresponding sides. Using ratios from the large and medium triangles, StartFraction c Over a EndFraction =
. This can be rewritten as
= a2. Using ratios from the large and small triangles,
= StartFraction b Over e EndFraction. This can be rewritten as b2 = ec. By substitution, a2 + b2 =
. You can then factor as a2 + b2 = c(f + e). From the large triangle, you know (f + e) =
. So, a2 + b2 = c2 by using substitution.

Answers

Answer:

answer in pic

Step-by-step explanation:

The proof of the right-triangle is: [tex]a^{2} + b^{2}=(c)^{2}\\[/tex].

To prove that [tex]a^{2} + b^{2}=(c)^{2}\\[/tex].

What is the Pythagorean Triple?

The Pythagorean triple can be described as any three set of integers representing sides of a right triangle that are solutions to the Pythagorean Theorem, which is given as:

[tex]a^{2} + b^{2}=(c)^{2}\\[/tex]

Given that:

To proof:

The proof of the right-triangle is:

[tex]a^{2} + b^{2}=(c)^{2}[/tex]

from question it is given that

c=e +f

By Pythagoras theorem, we have:

[tex]a^{2} + b^{2}=(f+ e)^{2}[/tex]

Therefore, the proof of the right-triangle is:

[tex]a^{2} + b^{2}=(c)^{2}\\[/tex]

Learn more about Pythagorean Triple here:

https://brainly.com/question/24161728

#SPJ5

the answer to this problem

Answers

Answer: A. Multiply the input number by 6

Step-by-step explanation: Each of these numbers are multiplied by 6. Hope this helped!

2 x 6 = 12

6 x 6 = 36

8 x 6 = 48

9 x 6 = 54

12 x 6 =72

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