For any linear function f(x) = mx + b, when does 5f(x) = f(5x) + 5? A. when b = 0 B. when b = 54 C. when b = 5 D. always

Answers

Answer 1

Answer:

b = 5/4

Step-by-step explanation:

Equations

Given the function:

[tex]f(x)=mx+b[/tex]

It's required to find the value of b such that:

[tex]5f(x)=f(5x)+5[/tex]

Substituting:

[tex]5(mx+b)=5mx+b+5[/tex]

Operating:

[tex]5mx+5b=5mx+b+5[/tex]

Simplifying:

[tex]5b=b+5[/tex]

Subtracting b:

[tex]4b = 5[/tex]

Dividing by 4:

b = 5/4


Related Questions

Para hacer una ración de puré de papa se necesita 1/5 de kg. ¿Cuántas raciones se pueden hacer con 7/4 de kg?
Gracias

Answers

Answer:

Cantidad de raciones=  8.75 raciones

Step-by-step explanation:

Dada la siguiente información:

Para hacer una ración de puré de papa se necesita 1/5 de kg.

Vamos a pasar las cantidades a décimales:

Ración puré= 0.2kg

Kg de papa= 7/4= 1.75 kg

Ahora, dividimos la cantidad total por la cantidad unitaria:

Cantidad de raciones= 1.75/0.2

Cantidad de raciones=  8.75 raciones

1. Laura earns $115 a month babysitting. If she saves all of the
money she earns in June and July and uses it to buy a bicycle
that cost $158, how much money will she have left?
A. $230,00
B. $43.00
C. $60.00
D. $72.00
A
B
OC

Answers

Answer:

Laura will have exactly $72.00 after purchasing the bicycle.

Step-by-step explanation:

We are given that Laura ends $115 per month of babysitting.

We also learn that she wants to save her money from June and July, which means she wants to save her money over a period of two months.

Therefore, she will earn $115 twice.

[tex]\displaystyle{\$115 \times 2 = \$230}[/tex]

Then, she wants to purchase a bicycle that costs $158, so we need to subtract the cost of the bicycle from her total earnings.

[tex]\$230 - \$158 = \$72[/tex]

Therefore, Laura will have exactly $72.00 remaining after her purchase.

Determine the solution for x^2-3x-28=\> 0

Answers

Answer: x = -4 or x = 7

Step-by-step explanation:

x^2 - 3x - 28 =/>

(factor)

(x^2 + 4)(x-7) = 0

x + 4 = 0 or x - 7 = 0

(subtract -4 from 0 and 7 from 0)

x = -4 or x =7

Answer:

(infinity, -4] or [7, infinity).

Step-by-step explanation:

right on edge

if the perimeter if the triangle is 17 , find the value of x , find the length of each side

Answers

Answer:

Wheres the picture that gose with it ?

Step-by-step explanation:

Answer:

x= 17

Step-by-step explanation:

Go to


9 t-shirts and a hat costs £93.00
4 t-shirts and a hat costs £43.00.
How much does a t-shirt cost?
How much does a hat cost?

Answers

Answer:

A t-shirt costs 10.00 pounds and a hat costs 3.00 pounds.

Step-by-step explanation:

x is a t-shirt

y is a hat

9x + y = 93.00

4x + y = 43.00

(9x + y) - (4x + y) = 93.00 - 43.00

9x + y - 4x - y = 50.00

5x = 50.00

x = 50.00/5

x = 10.00 [a t-shirt costs 10.00]

4x + y = 43.00

4×10.00 + y = 43.00

40.00 + y = 43.00

y = 43.00 - 40.00

y = 3.00 [a hat costs 3.00]

What is x+4=10 answer fast

Answers

Answer:

x=6

Step-by-step explanation:

10-4=6

Samantha buys $128 worth of goods at a 25% discount. If the sales tax rate is 6.4%, what is the total amount she will pay?

Answers

Answer:

150 I think

Step-by-step explanation:

in a lab a substance was heated by 16ºC over a period of 4 hours at a constant rate

Answers

According to my examination I have confirmed that I do NOT repeat do NOT know this. Good luck!

There are 52 weeks in a year. The plant runs for 12 months. How many weeks let when 52 weeks are divided by 12 months?​

Answers

Step-by-step explanation:

in one month , it runs for 52/12 weeks

that is 4 weeks

FACTPRIZE
A(X)=X^2-10x+25-(x-5)(2x+3)​

Answers

Answer:

the ans is -x^2-3x+40........

Answer:

(5 - x )(8 + x)

Step-by-step explanation:

A(x) = x² - 10x + 25 - (x - 5)(2x + 3)

x² - 10x + 25 = (x - 5)²

A(x) = (x - 5)² - (x - 5)(2x + 3) =

(x - 5)(x - 5 - 2x - 3) =

(x - 5)(- x - 8) =

(5 - x )(8 + x)

94 = y/4 - 18

Im stuck

Answers

Answer:

y= 448

Step-by-step explanation:

PLEASE MARK BRAINLIEST

1.) 94=y/4-18

94+18=[tex]\frac{y}{4}[/tex]-18+18

2.) simplify

add the numbers

112=[tex]\frac{y}{4}[/tex]

3.) Multiply all terms by the same value to eliminate fraction denominators.

112=[tex]\frac{y}{4}[/tex]

4 · 112=4 · [tex]\frac{y}{4}[/tex]

4.) Multiply the numbers

Cancel multiplied terms that are in the denominator

448=y

Solution

448=y

Can someone help pls

Answers

See the attchment because if i typed it, it would be confusing
[tex] \frac{6}{12} = \frac{1}{2} [/tex][tex]\frac{24}{30} = \frac{4}{5} [/tex][tex] \frac{9}{36} = \frac{1}{4} [/tex][tex] \frac{15}{24} = \frac{5}{8} [/tex][tex] \frac{9}{18} = \frac{1}{2} [/tex][tex] \frac{12}{9} = \frac{4}{3} [/tex][tex] \frac{5}{10} = \frac{1}{2} [/tex][tex] \frac{24}{32} = \frac{3}{4} [/tex][tex] \frac{10}{35} = \frac{2}{7} [/tex][tex] \frac{18}{90} = \frac{2}{10} = \frac{1}{5} [/tex][tex] \frac{8}{32} = \frac{1}{4} [/tex][tex] \frac{18}{14} = \frac{9}{7} [/tex][tex] \frac{2}{6} = \frac{1}{3} [/tex][tex] \frac{12}{18} = \frac{6}{8} = \frac{3}{4} [/tex][tex] \frac{24}{9} = \frac{8}{3} [/tex][tex] \frac{7}{28} = \frac{1}{4} [/tex][tex] \frac{6}{21} = \frac{2}{7} [/tex]

Graph this function using intercepts:
5x–3y=30

Answers

Answer:

hi im rachel

Step-by-step explanation:

Dean used a triple beam balance to find that the mass of a rock was 40 g and he used a graduate cylinder that measures the volume is 5 ml. What is the density?

a
9 m/l
b
10 g/ml
c
6 g/ml
d
8 g/ml

Answers

Answer:

i dont know how to leave from this....

Step-by-step explanation:

someone else answered your question sorry i just dont know how to leave fromthis

Please help me out!!!! I’m struggling

Answers

Answer:

SSS

Step-by-step explanation:

giving brainliest !!!

Answers

Answer:

I am pretty sure it is 5/8 because it is perpendiculiar

Step-by-step explanation:

multiplying | dividing

Answers

Answer:

7 pieces

Step-by-step explanation:

21 yards have 63/3 of rope

2 2/3 yards are 8/3 yards

63/3 devided by 8/3 is almost 7 and 7/3

pl pls pls help im a really bad at tables ​

Answers

Answer:

the answer is x=1

Step-by-step explanation:

if you look at the table it shows that 1 on both the tables equals 3

A is at (-2, 1) and B is at (4, -1).
P is a point on y-axis which is equidistant from A and B.
What are the coordinates of P?

Answers

Answer:

The coordinates of P are (1,0)

Step-by-step explanation:

Midpoint

The midpoint (xm,ym) of a segment defined by points (x1,y1) and (x2,y2) is calculated as follows:

[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]

[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]

We need to find the coordinates of P which is equidistant from the endpoints A=(-2,1) and B=(4,-1).

Calculate the midpoint:

[tex]\displaystyle x_m=\frac{-2+4}{2}=1[/tex]

[tex]\displaystyle y_m=\frac{1-1}{2}=0[/tex]

Thus, the coordinates of P are (1,0)

Note the midpoint does not lie on the y-axis but on the x-axis.

Manoj and Tamar are arguing about a number trick they heard.

Tamar tells Andrew to think of a number, multiply it by five and

subtract three from the result. Then Manoj tells Andrew to think

of a number, add five and multiply the result by three. Andrew

says that whichever way he does the trick he gets the same

answer.

a. What was the number Andrew started with?

b. What was the result Andrew got both times?

c. Name another set of steps that would have resulted in the

same answer if Andrew started with the same nu

Answers

Answer:

a .  Andrew's started with number 9

 b. 42

 c. 4x + 6 = (x+12)*2

Step-by-step explanation:

Let the Andrew's number is x

Tamar tells Andrew to think of a number, multiply it by five and

         subtract three from the result

        5x - 3

Manoj tells Andrew to think   of a number, add five and multiply the result by three.

       (x +5)*3

as he was getting the same answer so both the numbers will be equal

5x -3 = (x+5)*3

5x - 3 = 3x + 15

2x = 18

x = 9

a. Andrew's started with number 9

b. (1) 5x- 3 = 5*9 - 3

        = 42

  (2) (x + 5)*3

        = 14*3 = 42

c. Think of a number, then multiply it with 4 then add 6 in it

   Think of a number add 12 in it then then double it.  

   4x + 6 = (x+12)*2

    x = 9

   

which of the following points would be on the graph of the equation y= -2x + 10

a (-3, 16)
b ( -3, 4)
c ( 2, -6)
d (2, 14)

Answers

Answer:

a (-3,16)

Step-by-step explanation:

This type of question is typically done by a trail and error method.

Putting values in a part in the given equation

16= -2×(-3)+10

16= 6+10

16=16

LHS=RHS

Hence the correct answer is a (-3,16)

The answer is (-3,16)

Find the Value 7 x (6 divided by 4) with a exponent of 2

Answers

7(6/4)^2
7(3/2)^2
7*9/4
63/4 or 15 3/4 or 15.75

apples costs $1.98 per pound, how much does 1.5 pounds of apples cost

Answers

Answer:

$2.97

Step-by-step explanation:

Answer:

0.75 apples about 3/4 ig

Step-by-step explanation:

it's just u will divide 1.5 to 1.98 to get how many apples

1.find the domain,range and function.

{(-6, 4), (5, -1), (0, 3), (-2,4)}

Domain:
Range:
Function

Answers

Answer: domain: {-6, 5, 0, -2}

Range: { 4, -1, 3, 4}

Function: Yes it is a function

Convert .80 to percent

Answers

80%

.80 out of 1 is basically 80/100

Answer:

80%

Step-by-step explanation:

you just move the decimal over twice have a great day

Is BAK ~ JOL? Explain your reasoning.

Answers

Answer:

Since the ratios are not equal the triangles are not similar

Step-by-step explanation:

Triangle Similarity

For both triangles to be similar, their corresponding side lengths should be proportional by the same scale factor.

Triangle BAK has side lengths: BA=60, AK=38, and KB=36

Triangle JOL has side lengths: JO=50, OL=28, and LJ=26.

Calculating the ratios of the corresponding side lengths:

BA/JO=60/50=1.2

AK/OL=38/28=1.36

KB/LJ=36/26=1.38

Since the ratios are not equal the triangles are not similar

2) Graph the system of inequalities

y > -2x + 1
y≤ x + 3

Answers

Translate this to english

Por favor ayúdame, no puedo tener constante y> -2x + 1

y≤ x + 3 caca es 6 pies arriba en la jaula de mi perro

yousef typed a 36-word paragraph in 2/3 minute. What is his typing speed, in words per minute?
plsss help

Answers

Answer:

49 words per minute

Step-by-step explanation:

2/3 of a minute is 40 so you want to multiply 36 by 1.3 to get a rough answer which gets you 46.8. you can round that up to 49. the typing speed is 49 words per minute

May I get brainliest please? :)

Division is one of the four fundamental arithmetic operations. The typing speed of Yousef is 54 words per minute.

What is Division?

The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that Yousef typed a 36-word paragraph in 2/3 minutes. Therefore, the typing speed of Yousef in a minute is,

Typing speed of Yousef = 36 words/ (2/3) minutes

                                         = (36×3)/2 words per minute

                                         = 54 words per minute

Hence, the typing speed of Yousef in a minute is 54 words per minute.

Learn more about Division:

https://brainly.com/question/369266

#SPJ2

Carmen is designing an intersection of the rail line and four streets. She wants to know which streets are parallel. Transversal t crosses lines c, d, e, f forming 16 angles. Clockwise from top left, the angles formed with line c are blank, blank, blank, 114 degrees; with line d are blank, blank, 68 degrees, blank; with line e are blank, 112 degrees, blank, blank; with line f are blank, blank, 66 degrees, blank. Which streets are parallel? Check all that apply. c || d c || e c || f d || e d || f e || f

Answers

Answer:

The answer is "c || f  and d || e".

Step-by-step explanation:

Its acute collision angle between e and t is:

[tex]\to 180^{\circ}- 112^{\circ} = 68^{\circ}[/tex]

Its angle refers to the acute corner of d, so d and e are parallel to its extreme angle of crossroads between c and t is:

[tex]\to 180^{\circ} -114^{\circ} = 66^{\circ}[/tex]

Its angle is identical to the acute angle of, f so, that c and f are parallel. [tex]d | |e, c || f[/tex]

All "corresponding" to extreme angles at crossings of t. Thus the associated points are connected to their congruence.

Answer:

C AND D just took it

Step-by-step explanation:

SUBB TO JAYLONSWORLD_YT ON YT

10 2.5 16 4 ? 7.5 48 12 Which statement explains how to find the number of minutes it takes to bike 7.5 miles? Find the ratio of minutes to miles, 4:1. Divide 7.5 by 4. Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4. Find the difference between 16 and 10. Add the difference to 16. Find the difference between 16 and 10. Add the difference to 7.5.

Answers

Answer:

Find the ratio of minutes to miles, 4:1. Multiply 7.5 by 4.

Step-by-step explanation:

Given

Minutes: 10 || 16 || ?  || 48

-----Miles: 2.5 || 4 || 7.5 || 12

Required

Which statements solve for the missing value?

First, we need to calculate the ratio of minutes to mile

[tex]Ratio = \frac{Minutes}{Mile}[/tex]

When minutes = 16; mile = 4

So, we have:

[tex]Ratio = \frac{16}{4}[/tex]

[tex]Ratio = 4[/tex]

Next, we multiply the ratio by 7.5

[tex]Minutes = Ratio * 7.5[/tex]

[tex]Minutes =4 * 7.5[/tex]

[tex]Minutes = 30[/tex]

Hence, option B answers the question.

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