For any linear function f(x) = mx + b, when does kf(x) = f(kx)?

Answers

Answer 1

Only when b = 0 or k = 1.

If f(x) = mx + b, then

f (kx) = m (kx) + b = mkx + b

while

k f(x) = k (mx + b) = kmx + kb

The two expression are identical only if

kb = b   ===>   kb - b = 0   ===>   b (k - 1) = 0   ===>   b = 0 or k = 1


Related Questions

If there are four black kittens and two orange kittens, suppose each section of the tape diagram represents 2 kittens rather than one kitten. Will that change the comparisons in parts A and B? Why or why not?
Plz help it’s my last question for now

Answers

Answer:

no, you're just simplifying the fraction.

Step-by-step explanation:

4/6=2/3

4/6=2/3 so do all that and u will find the answer

HELP!!

how do we find x

every side is different​

Answers

Answer:

45degres

Step-by-step explanation:

Answer:

55+45+X=180

X=180-100

X=80

Step-by-step explanation:

Add

Inverse the sum of 55 and 45

Then subtract

What are the x and y-intercepts of the line described by the equation?
2x+4y=12.4
Question 2 options:

x-intercept = -6.2

y-intercept = -3.1


x-intercept = -3.1

y-intercept = -6.2


x-intercept = 6.2

y-intercept = 3.1


x-intercept = 3.1

y-intercept = 6.2



Please help

Answers

X intercept= 6.2
Y intercept= 3.1

(2a-b) * (a-2b)
(4x - 2) * (x -4)

Answers

Q: (2a-b) * (a-2b)

[tex](2−)(−2)[/tex]

[tex]2(−2)+(−2)(−)[/tex]

[tex]22−4+(−2)(−)[/tex]

[tex]22−4−(−2)⋅[/tex]

[tex]22−4+22−⋅[/tex]

Q: (4x - 2) * (x -4)

[tex](4−2)(−4)[/tex]

[tex]4(−4)−2(−4)[/tex]

[tex]42−16−2(−4)[/tex]

[tex]42−16−2+8[/tex]

[tex]42−16−2+8[/tex]

[tex]42−18+8[/tex]

[tex]42−18+8[/tex]

Hope its help you !!

You are going to want to FOIL both of these (first, outside, inside, last).

(2a-b)(a-2b)
=2a^2-4ab-ab+2b^2
=2a^2-5ab+2b^2

I’ll break it down more with the second equation. Remember that ^2 means squared.

(4x-2)(x-4)
First: 4x*x= 4x^2
Outside: 4x*-4=-16x
Inside: -2*x=-2x
Last: -2*-4=8

Now let’s put the answers together in one equation.

4x^2-16x-2x+8

Now we will combine like terms.

4x^2-18x+8

The perimeter of a rectangle is 260 meters. The length is 50 meters greater than the width. Find the dimensions of the rectangle.
length:
width:

Answers

Answer:

Hold on, our servers are swamped. Wait for your answer to fully load.

Step-by-step explanation:

Hold on, our servers are swamped. Wait for your answer to fully load.

5 ( 3 - x ) < -2x + 6

Answers

inequality form: x>3

interval form: (3,infinity)

Step-by-step explanation:

Answer:

x>3

Step-by-step explanation:

Question no.8
Plz heeeeelp​

Answers

The exterior angle of each polygon and the adjacent interior angle are

supplementary.

(a) 72°    (b) [tex]\displaystyle 51 \frac{3}{7} ^{\circ}[/tex]    (c) 36°    (d) 20°    (e) 18°

Reasons:

The formula for the exterior angle of a regular polygon is, [tex]\displaystyle \theta = \mathbf{ \frac{360 ^{\circ}}{n}}[/tex]

Where;

θ = The exterior angle of the polygon

n = The number of sides of the regular polygon

(a) The number of sides in a pentagon, n = 5 sides

Therefore, for a regular pentagon, we have;

[tex]Exterior \ angle , \displaystyle \theta = \frac{360 ^{\circ}}{5} = \mathbf{{72^{\circ}}}[/tex]

The measure of the exterior angle of a pentagon, is 72°

(b) An heptagon has n = 7 sides

The measure of the exterior angle, θ, of a regular heptagon is therefore;

[tex]Exterior \ angle \ of \ a \ heptagon , \,\displaystyle \theta = \frac{360 ^{\circ}}{7} = \underline{51 \frac{3}{7} ^{\circ}}[/tex]

(c) A decagon has n = 10 sides, which gives;

[tex]The \ exterior \ angle \ of \ a \regular \ decagon, \,\displaystyle \theta = \frac{360 ^{\circ}}{10} = \underline{36^{\circ}}[/tex]

(d) The exterior angle of an 18-gon with n = 18 sides is given as follows;

[tex]The \ exterior \ angle \ of \ a \ regular \ 18-gon, \,\displaystyle \theta = \frac{360 ^{\circ}}{18} = \underline{20^{\circ}}[/tex]

(e) A regular 20-gon has n = 20 sides

The exterior angle of a regular 20-gon is [tex]\displaystyle \frac{360 ^{\circ}}{20} = \underline{ 18^{\circ}}[/tex]

Learn more about the angles of a polygon here:

https://brainly.com/question/12871621

find an number that is 16 less than twice a number is decrease is 84

Answers

Answer:

50

Step-by-step explanation:

find a number that is 16 less than twice a number is decrease is 84

so if i get this right it is:

84 = 2x-16?

if so we do the following:

84+16 = 2x (Move the variables to one side and the numbers to the other)

100 = 2x (simplify)

50 = x (divide each side)

What is the area, in square feet, of a bedroom with l = 912 feet and w = 1114 feet?

Answers

Answer:

The area is 1,015,968

Step-by-step explanation:

Answer:

1,015,968 (otherwise known as a ridiculously large bedroom lol)

Step-by-step explanation:

912 x 1114 = 1,015,968

Do it on any calculator and it will give you the same thing

I don't know if this was a typo because again that is a ridiculously large bedroom so if it is lemme know and I'll edit my answer

13. Cynthia, Chris, and Lexi paint houses. Cynthia can paint a house in 6 hours. Chris
can paint the same house in 5 hours. The three working together can paint the house
in 2 hours. How many hours does it take Lexi to paint the house?

Answers

Answer:

13

Step-by-step explanation:

❤️❤️❤️❤️❤️

Tres socios tienen que repartirse 3000 dólares de beneficios. ¿Cuánto le tocará a cada uno, si el primero tiene que recibir 3 veces más que el segundo y el tercero dos veces más que el primero? Siendo el segundo representado con la letra x.

Answers

Answer:

Abrazos

Step-by-step explanation:

segundo = x

primero = (3*)segundo

tercero = (2*)primero

tercero = 2 * 3 = (6*)segundo

6x + 3x + x = 3000

10x = 3000

x = 300

segundo = 300

primero = 300 * 3 = 900

tercero = 300 * 6 = 1800

checando: 1800 + 900 + 300 = 3000

so i'm doing pre-algerbra and i'm doing whole numbers-dividing. and the directions says "divide. check your work by multiplying" and the first problem is 63 divide by 7 but how do i check it by multiplying? help me pls im getting so frustrated.

Answers

So the first question wants you to do 63/7 = 9. You can check by showing that 7 x 9 = 63, proving that u were correct. pls mark me as brainliest!

Solve and graph inequality

Answers

Answer:

x ≥ 3 and x ≤ -3      See below

Step-by-step explanation:

| x | ≥ 3

 Case I                                     Case II

x ≥ 3                                          -(x) ≥ 3

                                                  -x ≥ 3  multiply by -1 and change the inequality

                                                  x ≤ -3

The graph:

Graph ≤ or ≥ the closed circle at the endpoint.

  x ≥ 3  closed circle at point 3 and shade to the right .

  x  ≤ -3  closed circle at -3 and shade to the left.

A grocery store sells a six pack of bottled water for $3.79, a 9 pack for $4.50, and a 12 pack for $6.98 which package cost the least per bottle explain your reasoning

Answers

Answer:

The six pack of water is the best deal.

Step-by-step explanation:

Divide the number of water bottles per pack by the cost of the pack.

$1.58 per bottle for the six pack.

$2 per bottle for the nine pack.

$1.72 per bottle for the 12 pack.

Answer: The nine pack costs the least.
Explanation:
To figure out cost per bottle, take the price divided by the amount of bottles

$3.79/6 = $0.63 per bottle

$4.50/9 = $0.50

$6.98/12 = $0.58

The nine pack costs the least per bottle at $0.50 per bottle.

Write an equation that describes the nth term of the arithmetic sequence –2, –1.5, –1, –0.5, 0, 0.5, ….

Answers

Answer:

[tex]a_{n}[/tex] = 0.5n - 2.5

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 2 and d = a₂ - a₁ = - 1.5 - (- 2) = - 1.5 + 2 = 0.5 , then

[tex]a_{n}[/tex] = - 2 + 0.5(n - 1) = - 2 + 0.5n - 0.5 = 0.5n - 2.5 ← explicit equation

I need help with this :(please

Answers

Answer:

e Are you need me?you write l donot know.


Anyone know the answer?

Answers

Answer:

41

Step-by-step explanation:

Since it is only being reflected, the letters would match up with their primes and still equal the same amount for the sides. Since B'C' is 41, it would mean that BC is 41 too

Somebody help (no links please) this is stressing me rn cause this assignment is almost due.

Answers

Step-by-step explanation:

11)

d=√[(-2-(-3))^2+(3-10)^2]=√(-2+3)^2+(-7)^2

=√1+49=√50=7.07 approximately

12)

M (((-1)+(-7))/2 , (2+(-4))/2)=(-8/2 , -2/2)=(-4 ,-1)

I will 10 points pls anwser correct

Answers

Answer:

1.5 if you Evaluate and in fraction form [tex]\frac{15}{10}[/tex]

URGENT!!

Please divide this polynomial

Answers

i used polynomial division.. i hope this helps :)

Answer:

ANSWER IS IN THE ATTACHMENT!!

Step-by-step explanation:

HOPE IT HELPS YOU!!

4xy + 10yᒾ
Tui mún hỏii

Answers

Answer:

4xy+10y²=2y(2x+5y)

Hope it helps!!!

The function h(t)=400-16t^2 gives the height of the supply bundle (in feet) t seconds after it is dropped from a height of 400 feet.

a. Find the derivative of this function at the point (3,256).
b. What does your answer tell you about the speed at which the supply bundle is falling?

Answers

Answer:

i think its A i may be wrong

The answers are :

a) The derivative of this function at the point (3,256) is -96.

b) The speed at which the supply bundle is falling is negative.

What is derivative ?

Derivative is the slope of the graph of function or the slope of the tangent line at a point.

A function is given which is h(t) = 400 - 16t².

Here , h(t) gives the height of the supply bundle in feet , t seconds after it is dropped from a height of 400 feet.

a)

We have to find out the derivative of the given function at a point (3,256).

h'(t) = [tex]\frac{d}{dt}[/tex] (400 - 16t²)

h'(t) = 0 - 2 × 16 × t

h'(t) = -32 t

This function at (3,256) so , value of t is 3.

h'(t) = -32 × 3

h'(t) = -96

b)

Speed = -32 t

So , the speed at which the supply bundle is falling is negative. With increase in value of t it will keep decreasing.

Therefore , the answers are :

a) The derivative of this function at the point (3,256) is -96.

b) The speed at which the supply bundle is falling is negative.

Learn more about derivative here :

https://brainly.com/question/28527987

#SPJ2

Which of the following is true?

Answers

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is A :

RT is an altitude of Triangle QRS

Answer:

A, because ∆ QRS isn't a right angled triangle unlike the other choices and its height is in the middle,the rest of the choices are right angled and the line segments in the choice are all their hypotenuse,and the hypotenuse of a triangle isn't it's height

need help asap!!!
(Question:What is 2/3 divided by 4/5?

(Options: 2/3, 5/6, 1 1/5, 3 1/3

Answers

This answer to your equation is 5/6

Answer:

5/6

Step-by-step explanation:

4(w+3)-7w=24 solve for w.

Answers

Answer:

w= -4

Step-by-step explanation:

Distribute to get 4w+12-7w=24

then combine like terms

-3w+12=24

isolate the variable (minus 12)

-3w=12

w= -4

4(w+3)-7W=24
W+3-7W=6
-6W=3
W=-1/2

a rectangle prism has a length of 5 cm, a width of 2.25cm, and a height of 0.5 cm, what is the surface area of the rectangular prisim?

Answers

Answer:

SA = 29.75 cm^2

Need help with this ASAP!!

Answers

Answer:

64

Step-by-step explanation:

40x1.6

Find the angle
25 points plus a thanks, 5 star and brainliest

Answers

? = arc sin 34/41

In the right angle :
The sine is equal to the opposite side than the hypotenuse

Sin ? = 34/41
= arc sin 34/41

Answer:

[tex]x = 56.02 \degree[/tex]

Step-by-step explanation:

To find the angle you have to use sin rule

[tex] \sin( \theta) = \frac{opposite}{hypotenuse} [/tex]

Let the unknown angle be x

[tex] \sin(x) = \frac{o}{h} \\ \sin(x) = \frac{34}{41} \\ \sin(x) = 0.8292 \\ x = \sin ^{ - 1} 0.8292 \\ x = 56.02 \degree[/tex]

Hope this helps you

Let me know if you have any other questions :-):-)

LCD of 3/5x^4 and 2/7x^3

Answers

Answer:

31/35x^7

Step-by-step explanation:

3/5x^4 +2/7x^3

you find the lcm of the denominators

21/35x^7 + ,10/35x^7 =31/35x^7


Write in terms of inequalities: (-13,4]

Answers

9514 1404 393

Answer:

  -13 < x ≤ 4

Step-by-step explanation:

The round bracket means the lower limit is not included in the interval. The square bracket means the upper limit is included.

  -13 < x ≤ 4

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