For What Value Of M Does 3x + 4 = Mx + 4 Have An Infinite Number Of Solutions? (2024)

Mathematics High School

Answers

Answer 1

Answer:

3

Step-by-step explanation:

Solve for m.

3x + 4 = mx + 4 subtract 4 from each side

3x + 4 - 4 = mx + 4 - 4 the 4’s on both sides will cancel

3x = mx divide each side by x

3x/x = mx/x The x cancels and you’re left with

3 = m

If m = 3 then

3x + 4 = mx + 4 will become

3x + 4 = 3x + 4 subtract 4 from each side

3x + 4 - 4 = 3x + 4 - 4 the 4’s on both sides will cancel

3x = 3x divide each side by 3

3x/3 = 3x/3 The 3s cancel and you’re left with

x = x

So for any value of x, positive or negative, they will equal each other. Therefore there are an infinite number of solutions when m = 3

Related Questions

Which list correctly orders A, B, and c from lеаѕt tо greatest whеn A = -8, B = |-6| and c = |11|
А. В. С
С. А. В
В, А, С
С, В, А

Answers

Answer:

Correct order: C, B, A

The last answer : )

Step-by-step explanation:

A = -8

B = -6

C = 11

Correct order: C, B, A

The last answer : )

*Hope this helps!! : )*

The order of the expressions from least to greatest is A, B, C

How to order the numbers?

The equation of the numbers are given as:

A = -8, B = |-6| and c = |11|

Evaluate the absolute value expressions

A = -8, B = 6 and c = 11

Order the expressions from least to greatest

A = -8, B = 6 and c = 11

Hence, the order of the expressions from least to greatest is A, B, C

Read more about order at:

https://brainly.com/question/1094377

please help its due today!!!​

Answers

Answer:

line a and b are perpendicular as well as c and b

i think if not then none of them are because its hard to tell since they are sideways

Step-by-step explanation:

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of
$47.65. If Hugh bought 3 magazines, how many books did he buy?
The equation that models the problem is 3.95m + 8.95b = 47.65, where m is the number of magazines and b is the
number of books?

Answers

Answer:

Step-by-step explanation:

The equation is 3.95m + 8.95b = 47.95 where m is the amount of magazines bought and b is the amount of books bought. 47.95 is the total spent. We know that he bought 3 magazines, so we can switch m with 3. 3.95 multiplied by 3 is 11.85. The equation is now 11.85 + 8.95b = 47.65. Subtract 11.85 from both sides to get b by itself. 8.95b = 35.8. Divide both sides by 8.95 to get b by itself. b = 4

Hugh bought 4 books.

I hope this helped!

Answer:

m=3 b=4

Step-by-step explanation:

3.95 x 3 = 11.85

47.65 - 11.85 = 35.8

35.8 ÷ 8.95 = 4

m=3 b=4

What is the slope of the line shown?

A : slope = -1/3

B : slope = 8

C : slope = 3

D : slope -3

Answers

Answer is D slope -3

Yes the answer is d -3

PLEASE PLEASE HELP ME WITH THIS!!

Answers

Answer:

A

Step-by-step explanation:

The square root of 5/3 is irrational because it cannot be expressed as the ratio of two integers (which is the definition of irrational numbers). If you were to put this into a calculator the answer would go on forever and never repeat, similar to pi, a famous irrational number.

What is the next number in the following pattern?
4,- 6, 8,- 10, 12, ...

Answers

Answer:

-14

Step-by-step explanation:

im not really sure

Answer: -14

Step-by-step explanation: its basically counting by 2, but going from positive to negative

Hi guys my little brother needs help to Do his homework And I’m doing mine so I can’t help him can anyone help plzz

Answers

The answer is 91.77

22.89 x 2 =45.78

45.78 + 45.99 = 91.77

filiate
Consider the line MU for M(-1, 1) and U(4, 5).
what’s the distance from M to U ?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ \sqrt{41} \: \: units}}}}}[/tex]

Step-by-step explanation:

Let M ( -1 , 1 ) be ( x₁ , y₁ ) and U ( 4 , 5 ) be ( x₂ , y₂ )

Finding the distance from M to U

[tex] \boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(4 - ( - 1))}^{2} + {(5 - 1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(4 + 1)}^{2} + {(5 - 1)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{ {(5)}^{2} + {(4)}^{2} } }}[/tex]

[tex] \longrightarrow{ \sf{ \sqrt{25 + 16}}} [/tex]

[tex] \longrightarrow{ \sf{ \sqrt{41} }}[/tex] units

The distance from M to U is [tex] \sf{ \sqrt{41} \: \: units}[/tex]

Hope I helped!

Best regards! :D

Answer:

The answer is

[tex]\sqrt{41} \: \: or \: \: 6.403 \: \: \: units[/tex]

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

M(-1, 1) and U(4, 5)

The distance from M to U is

[tex] |MU| = \sqrt{ ({ - 1 - 4})^{2} + ( {1 - 5})^{2} } \\ = \sqrt{ ({ - 5})^{2} + ( { - 4})^{2} } \\ = \sqrt{25 + 16} [/tex]

We have the final answer as

[tex] \sqrt{41} \: \: or \: \: 6.403 \: \: \: units[/tex]

Hope this helps you


(Sin4x+2Sin3x+Sin2x)/
Sinx=
2Sin3xCotx/2​

Answers

Answer:

Consider the given equation.

4sinxsin2xsin4x=sin3x

2(2sin2xsinx)sin4x=sin3x

We know that

2sinAsinB=cos(A−B)−cos(A+B)

Therefore,

2[cos(2x−x)−cos(2x+x)]sin4x=sin3x

2[cosx−cos3x]sin4x=sin3x

2sin4xcosx−2sin4xcos3x=sin3x

We know that

2sinAcosB=sin(A+B)+sin(A−B)

Therefore,

sin(4x+x)+sin(4x−x)−[sin(4x+3x)+sin(4x−3x)]=sin3x

sin(5x)+sin(3x)−[sin(7x)+sin(x)]=sin3x

sin(5x)−sin(7x)=sin(x)

We know that

sinC−sinD=2cos(

2

C+D

)sin(

2

C−D

)

Therefore,

2cos(

2

5x+7x

)sin(

2

5x−7x

)=sinx

2cos(

2

12x

)sin(

2

−2x

)=sinx

2cos(6x)sin(−x)=sinx

−2cos(6x)sin(x)=sinx

cos6x=−

2

1

6x=2nπ±

3

x=

3

±

9

π

Hence, the value is

3

±

9

π

.

sorry mate don't know the answer

Help me with segment addition postulate

Answers

Answer:the answer is 15

Which expression represents the phrase? "The product of 5 and 6 reduced by t." A) 5 – 6t B) 5(6 – t) C) 5(6 + t) D) 5 + 6t

Answers

Answer:

B. 5(6-t)

Step-by-step explanation:

5(6-t)

means that 5*6 reduced by t

a proportional relationship can be shown in two different ways:​

Answers

What are u asking ? I’m don’t get it

Factor the equation.
x^2 + 7x = 3x + 12

Answers

Answer:

3489.9583

Step-by-step explanation:

but htts its s

The sum of two numbers is 12
and their product is 32.
What are the two numbers ?

Answers

Answer:

8 and 4

Step-by-step explanation:

8 x 4= 32

8+4 = 12

Using the expression 10xy + 6, what are the
variables?

Pleasee huryyy!!

Answers

Answer:xy

Step-by-step explanation:

Autum school holding a voleturing challeng. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volenteers abou the same amount each week. During a 3- week period she volunteers for 6 3/4 hours. Autumn wants to compare her volunteers rate with the challenge rate

Answers

Given :

Challenge given is to volunteer for about 1 1/2 hours per week .

Autum did at a rate of 6 3/4 hours per week .

To Find :

The comparison ( ratio ) her volunteers rate with the challenge rate .

Solution :

Simplifying challenge rate in in normal fraction , [tex]1\dfrac{1}{2}=\dfrac{2+1}{2}=\dfrac{3}{2}[/tex] .

Also , simplifying her rate , [tex]6\dfrac{3}{4}=\dfrac{(6\times 4)+3}{4}=\dfrac{27}{4}[/tex] .

Now , ratio of his work by challenge is :

[tex]R=\dfrac{\dfrac{27}{4}}{\dfrac{3}{2}}\\\\\\R=\dfrac{27\times 2}{4\times 3}\\\\R=\dfrac{9}{2}[/tex]

Therefore , the ratio is 9/2 or 4 1/2 .

Hence , this is the required solution .

Autumn volunteered 3/4 hours per week more than the least hours per week of volunteering.

Given that,
Autumn school holding a valeting challenge. Students are encouraged to volunteer for at least 1 1/2 hours per week. Volunteers about the same amount each week. During a 3- week period she volunteers for 6 3/4 hours.

What is the rate of change?

Rate of change is defined as the change in value with respect to time is called rate of change.

Here,
Autumn wants to compare her volunteer rate with the challenge rate,
So
Extra hours of volunteering = 6 3/4 - 3 [ 1 1/2] = 2 1/4
Rate of volunteering per week = [2 1 / 4] / 3 = 3 / 4

Thus, Autumn volunteered 3/4 hours per week more than the least hours per week of volunteering.

Learn more about the rate of change here:

https://brainly.com/question/13103052

#SPJ5

: 9(p + 2) = 3(3p – 5)

Find the inequality with its graph

Answers

Answer:

NKKNKND FG

Step-by-step explanation:

Find the value of ‘x’ for each of the following
7. X=
8.X=
9.X=
10.x=

Answers

Answer:

7. x=9

8. x=12

9. x=[tex]\sqrt{85}[/tex]

10. x=[tex]\sqrt{45}[/tex]

You are building a shelf that fits in a corner. In the figure, the entire shelf is △LMN. Each unit in the coordinate plane represents one inch.

Find the area A of the shelf.
A= __ in.2

Answers

Answer: 50in'2

Step-by-step explanation:

First you would do: |25-(5)| since they share the same x value. Which would be 20

Next: |5-10|= 5, since N and M share the same y value

Lastly you would plug in those values to find the area of a triangle: 5*20*1/2= 50 in

Hey! This is my first question! The equation is relatively simple but something makes me not understand it. Your help would be greatly appreciated. :)

Answers

Answer:101°

Step-by-step explanation:

79 + 101=180

Answer:

101 = LHK

Step-by-step explanation:

GHK = GHL + LHK

GHK is a straight line so it equals 180

180 = 79+ LHK

Subtract 79 from each side

180-79 = 79-79+ LHK

101 = LHK

A woman wants to send a framed photograph of her family to her parents. The frame is 9 in long and 7 in wide. Will the frame lay flat in a box that has a square​ base, height ​6 in., and volume 546 in.³ ​?

Answers

Step-by-step explanation:

V=l*b*h , it's square, so l=b

V=l*h

l=V/h

l=546/6

l=91 in

So, if length of base is 91 in, the frame will be easily lay flat

8. The endpoints of ST are $(-3, 2) and T(5,8). Find the coordinates of
the midpoint of ST. Then find ST.

Answers

Answer:

Option (A)

Step-by-step explanation:

If the extreme ends of a segment are [tex](x_1, y_1)[/tex] and [tex](x_2,y_2)[/tex],

Coordinates of the mid-point will be = [tex][\frac{(x_1+x_2)}{2},\frac{(y_1+y_2)}{2}][/tex]

And the length of the segment is = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Coordinates of the extreme ends of the ST are S(-3, 2) and T(5, 8).

Therefore, coordinates of the midpoint of ST will be = [tex](\frac{-3+5}{2},\frac{2+8}{2})[/tex]

= [tex](1,5)[/tex]

Length of ST = [tex]\sqrt{(5+3)^2+(8-2)^2}[/tex]

= [tex]\sqrt{64+36}[/tex]

= 10 units

Option (A) will be the answer.

Are these inverses of one another?
Yes
No
No way to tell

Answers

It should be (Yes) because the graph is really cleanse that it is inverses of one another.

1. & 2. In the diagram below, points A, B, and C are collinear. Answer each of the following questions. The figure shown below is not drawn to scale, meaning you cannot determine your answers by using your ruler.​

Answers

Answer:

a. 8 in

b. 9¾ in

Step-by-step explanation:

a. Given:

AC = 5 in

CB = 3 in

Since points A, C and P are collinear, therefore,

AC + CB = AB (segment addition postulate)

5 + 3 = AB (substitution)

8 = AB

AB = 8 in

b. Given:

AC = 6¼ in

CB = 3½ in

AC + CB = AB (segment addition postulate)

6¼ + 3½ = AB (substitution)

9¾ = AB

AB = 9¾ in

i will give brainliest!!

Answers

Answer:

[tex] \huge{ \boxed{ \sf{70}}}[/tex]

Step-by-step explanation:

[tex] \underline{ \sf{Given}} : [/tex]

[tex] \sf{ \angle \:FGJ \: = \: 30° \:, } \: \: \angle \: JGH \: = \: 40° \: , \: \angle \: FGH= x[/tex]

Finding the value of x°

[tex] \sf{ \angle \: FGH= \angle \: FGJ \: + \: \angle \: JGH\:}[/tex]

Plug the values

[tex] \mapsto{ \sf{x = 40 + 30}}[/tex]

Add the numbers

[tex] \mapsto{ \sf{x = 70}}[/tex]

The value of x° is 70°

Hope I helped!

Best regards! :D

~[tex] \text{TheAnimeGirl}[/tex]

I am somewhat confused on how to do this, can someone explain? thanks!

Answers

Answer:

(3x-1)×2=12-x

Step-by-step explanation:

AC = 3x - 1
AD = 12 - x
AD = AC + CD
After putting the values given above,
12 - x = 3x - 1 + CD
12 - x - 3x + 1 = CD
13 - 4x = CD

If C is the midpoint of AD then
AC = CD
3x - 1 = -4x + 13
3x + 4x = 13 + 1
7x = 14
X = 14 / 7
X = 2

CD = - 4x + 13
CD = - 4(2) + 13
CD = - 8 + 13
CD = 5

Help please!!!!!!!!!!!!!!!!!!!!!!!!

Answers

i think its B not sure tho sorry

Tao wants to check that the expression 3(4x – 6) simplifies to 12x – 18. What is the value when 2 is substituted for x into both expressions?

Answers

Answer:

6

Step-by-step explanation:

3( 4x - 6)

Let x =2

3( 4*2 -6)

3(8-6)

3*2

6

Check

12x-18

12*2 -18

24-18

6

Both equal 6

The value of each expression is 6.

Explanation: right on edg.

V=1/3nr^2h ; solve for r

Answers

Answer: r=3v/2nh

Step-by-step explanation:

how much is it 320,000×_=32,000,000​

Answers

Answer:

100.

Step-by-step explanation:

320,000×100=32,000,000​

100

since 32,000,000 is two place values greater than 320,000

so

320,000 * 100 = 32,000,000

For What Value Of M Does 3x + 4 = Mx + 4 Have An Infinite Number Of Solutions? (2024)

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