How many solutions exist for the given equation?
12x + 1 = 3(4x + 1) - 2
zero
one
two
infinitely many

Answers

Answer 1

Answer:

infinitely many

Step-by-step explanation:

12x + 1 = 3(4x + 1) - 2

Distribute

12x + 1 = 12x + 3 - 2

Combine like terms

12x+1 = 12x +1

Subtract 12x from each side

1 =1

Since this is always true, we have infinite solutions

Answer 2

Answer:

[tex]\Huge \boxed{\mathrm{infinite \ solutions}}[/tex]

Step-by-step explanation:

[tex]\sf 12x + 1 = 3(4x + 1) - 2[/tex]

Using distributive property.

[tex]\sf 12x + 1 = 12x+3 - 2[/tex]

[tex]\sf 12x + 1 = 12x+1[/tex]

Subtracting 1 from both sides.

[tex]\sf 12x=12x[/tex]

Dividing both sides by 12.

[tex]\sf x=x[/tex]

All real numbers are solutions.

There are infinite solutions.


Related Questions

can anyone help me out with this? If possible, please do all of them

Answers

Answer:

this is all I could find

if x=2y+1 what is th e value of 10y-5x

Answers

[tex]x=2y+1[/tex]

what is [tex]10y-5x[/tex]?

all you gotta do is substitute the value of [tex]x[/tex] in the equation:

[tex]x=2y+1\\10y-5(2y+1)[/tex]

now solve for [tex]y[/tex]:

[tex]10y-5(2y+1)\\10y-10y-5=-5[/tex]

so the value of [tex]10y-5x =[/tex] [tex]\boxed{-5}[/tex]

Which of the following options have the same value as %5, percent of 35? Choose 2 answers: (Choice A) A 5*35 (Choice B) B 5/100*35 (Choice C) C 0.5* 0.35 (Choice D) D 0.05*35 (Choice E) E 5/10*35

Answers

Answer:

B and D

Step-by-step explanation:

5% of 35 can be represented as 5% [tex]\cdot35[/tex].

To find equations that make this work, we need to find different ways to represent 5%.

5% can be represented as fraction - over 100. The percentage over 100 will be equal to the percent.

So, [tex]\frac{5}{100}[/tex]. Multiplying by 35 gets us [tex]\frac{5}{100}\cdot35[/tex]

This means that Choice B is correct.

Another way to represent 5% is as a decimal.

We already know that the fraction form of 5% is [tex]\frac{5}{100}[/tex]. This means that in the decimal, the number 5 will be two place values to the right of the decimal place.

0.05

So the decimal expansion of 5% is 0.05. Multiplyin by 35 get us [tex]0.05\cdot35[/tex], so choice D works too.

Hope this helped!

Answer:

The answer is option D and B

Step-by-step explanation:

To find the the value of the percentage of a number divide the percentage by 100 and multiply it by the number

So we have

5 percent of 35 is written as

[tex] \frac{5}{100} \times 35 \\ = \frac{1}{20} \times 35 \\ = \frac{7}{4} [/tex]

We have the answer as

1.75

From the options the one that has the same value as the above answer are

0.05 × 35 and 5/100 × 35

Hope this helps you

The perimeter of a rectangle is 46 millimeters. The length of the rectangle can be represented by (3x+3), and its width can be represented by (x−4). What are the dimensions of this rectangle in millimeters?

Answers

Answer:

The dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Step-by-step explanation:

The formula for the perimeter of a rectangle = 2(L + W)

= 2L + 2W

The perimeter = 46 mm

L = 3x + 3

W = x - 4

P = 2L + 2W

46mm = 2(3x + 3) + 2(x - 4)

46 = 6x + 6 + 2x - 8

Collect like terms

46 +8 -6 = 6x + 2x

48 = 8x

x = 48/8

x = 6

Since the Length = 3x + 3

= 3(6) + 3

= 18 + 3

= 21mm

Since the Width = x - 4

= 6 - 4

= 2mm

Therefore, the dimension of this rectangle = 2mm by 21mm

Where 2 mm = Width of the rectangle

21 mm = Length of the rectangle.

Haley had 2 blue marbles, 2 red marbles, and 4 green marbles. She gave 1 4 of her marbles to Amy and 2 4 of her marbles to Sue. What is the total number of marbles that Haley gave to Amy and Sue?

Answers

The amount is 6.
Hope you have a nice day.

What is the value of x? Enter your answer in the box.

Answers

Answer:

I think the value of x might be 127°

The value will be 127 degrees

Can someone please help me with 1-9 Sorry 25 points is all I have

Answers

Answer:

see below

Step-by-step explanation:

5.

VW = 4x - 20

UW = 6X - 35

UV = 19

find x to get UW

UV + VW = UW

19 + 4x - 20 = 6x - 35

x = 17

VW = 4(17) - 20

VW = 48

UW = 6(17) - 35

UW = 67

----------------------------------------------------

6.

HJ = 7x - 27

HI = 3x - 5

IJ = x - 1

find the value of x

HI + IJ = HJ

3x - 5 + x - 1 = 7x - 27

x = 7

----------------------------------------------------

7.

BC = 4x - 29

CD = 5x - 9

BD = 7x - 10

find each value

BC + CD = BD

4x - 29 + 5x - 9 = 7x - 10

x = 14

BC = 4(14) - 29

BC = 27

CD = 5(14) - 9

CD = 61

BD = 7(14) - 10

BD = 88

----------------------------------------------------

8.

BD = BC

BD = 5x - 26

BC = 2x + 1

AC = 43

find AB

BD = BC

5x - 26 = 2x + 1

x = 9

AB + BC = AC

AB + 2(9) + 1 = 43

AB = 24

----------------------------------------------------

9.

LK = MK

LK = 7x - 10

KN = x + 3

MN = 9x - 11

KJ = 28

find LJ

MK + KN = MN

7x - 10 + x + 3 = 9x - 11

x = 4

KJ + LK = LJ

28 + 7(4) - 10 = LJ

LJ = 46

-78 divided by (-1.3)

Answers

Answer:

60

Step-by-step explanation:

Evalute this expression: -4y + 7y - 10 + 3

Answers

Answer:

3y-7

Step-by-step explanation:

-4y + 7y - 10 + 3

Combine like terms

-4y + 7y      - 10 + 3

3y              -7

Find the transformations from y=x^2 for the following equation: f(x)=(x+4)^2 -9

Answers

y=x^2 moves right 4, down 9.

Select all the statements about the number -3 that are true.
It is an integer.
It is an irrational number.

It is a rational number.
It is a whole number.
It is a natural number.

Answers

Answer:

It is a rational integer.

Step-by-step explanation:

'-3' is rational. It could be written as [tex]\frac{-3}{1}[/tex].

It is also a integer. Integers include all whole numbers and negative numbers without a fraction or a decimal.

Whole and natural numbers are only positive values. And since '-3' could be written as a fraction, it is not irrational.

'-3' is a rational number and an integer.

Hope this helps.

A manufacturer of tennis balls has a daily cost of C(x) = 200 − 10x + 0.01x
2
, where C(x) is the
total cost in dollars and x is the number of tennis balls produced. The manufacturer has to
produce between 1500 and 3000 balls. What number of tennis balls will produce the minimum
cost?

Answers

Answer:

1000 tennis balls will produce the minimum  cost

Step-by-step explanation:

Daily cost equation of tennis ball : [tex]C(x)=200-10x+0.01x^2[/tex]

Where C(x)  is the  total cost in dollars

x is the number of tennis balls produced

We are supposed to find number of tennis balls will produce the minimum

cost.

Lead coefficient = 0.01

The lead coefficient is positive, the parabola opens up.

Thus ,the minimum is at the vertex.

[tex]x=\frac{-b}{2a}[/tex]

So, [tex]x= \frac{10}{0.01}\\x=1000[/tex]

Substitute the value of x in given equation:

C(x)=200-10(1000)+0.01(1000)^2

C(x)=200

Hence 1000 tennis balls will produce the minimum  cost

What is the simplest form of 4^square root of 13 times 4^square root of 13 times 4^square root of 13?

Answers

Answer:

[tex]832 \sqrt{13} [/tex]

Step-by-step explanation:

This question means

[tex]4 \sqrt{13} \times 4 \sqrt{13} \times 4 \sqrt{13} [/tex]

Lets solve it in simplest way

[tex](4 \sqrt{13} {)}^{3} [/tex]

[tex]64 \times \sqrt{13} \times \sqrt{13} \times \sqrt{13} [/tex]

[tex]64 \times \sqrt{139} \times \sqrt{13} [/tex]

[tex]64 \times 13 \times \sqrt{13} [/tex]

[tex]832 \sqrt{13} [/tex]

I hope u like it ‍❤️‍

cooment me for any question

Is 9 a natural number?

Answers

Answer: yes

Step-by-step explanation:

Answer:

I think so

Step-by-step explanation:

I think all numbers are technically natural

- 2(w+6) +9< - 15

I'm make you brainliest​

Answers

It is 9lt-2w-27! Hope it helped!
The answer is w>6

-2(w+6)+9<-15
-2w-12+9<-15
-2w-3<-15
-2w<-15+3
-2w<-12
-2w/-2 < -12/-2
Because they’re being divided by a negative number the sign changes and you get w>6

List at least three shapes, other than pentagons, in the table. If the shape is a polygon, indicate whether the shape is regular or irregular. Find the number of times that the shape will map back on to itself as the shape rotates 360° about its center. Also, note how many degrees the shape has rotated each time it maps back onto itself.

Answers

Answer:

See below

Step-by-step explanation:

See attached table

Regular polygon with n sides can map onto itself n times

It will rotate 360°/n about its center every time and will map onto itself

Examples are in the attached table

Answer:

PLATO

Step-by-step explanation:

Last year, a car dealership sold 144 new cars and 108 used cars. Since then, the number of new cars sold is increasing by 8 cars each year,
while the number of used cars sold has been decreasing by 5 cars each year.
In how many years will the number of new cars sold be twice the number of used cars sold?
O A. 2 years
OB. 4 years
C. 6 years
O
D. O years

Answers

Answer:

4 years

Step-by-step explanation:

As 4*8 is 32

So 144+32 is 176

And 5*4=20

108-20 is 88

88*2 is 176

What is the square of 9?

Answers

Answer:

3

Step-by-step explanation:

sqrt9 = 3

I’m pretty sure it is 81.


4x2 + 3x - 6
Label the terms in the expression as constant, linear, and quadratic.

A) constant: -6; linear: 3x; quadratic: 4x2
B) constant: 3x; linear: -6; quadratic: 4x2
C) constant: 4x2 ; linear: 3x; quadratic: -6
D) constant: -6; linear: 4x2 ; quadratic: 3x

Answers

constant: 3x;linear: -6; quadratic: 4x2

2z-1= -9+ z i need the answer RIGHT NOW

Answers

Answer:

z = -8

Step-by-step explanation:

I'm guessing you want to find out what z is equal to, so here you go.

2z - 1 = -9 + z

2z = -8 + z

z = -8

Answer:

z = -8

Step-by-step explanation:

let's simplify the equation by getting the like terms together.

2z-1 = -9+z

first get the z's on the same side:

2z-z-1 = -9

z-1 = 9

then the constants:

z = -9+1

z = -8

A Blue Viper can travel 18 2/5 miles on 4/5
tank of gas. A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas. Which car can travel
further on one tank of gas?

Answers

Answer:

A Blue Viper

Step-by-step explanation:

A Blue Viper can travel 18 2/5 miles on 4/5  tank of gas.

It can travel on full tank:

(18 2/5)*1/5 + 18 2/5 = 92/5*1/5 + 92/5 = 92/5*6/5 = 552/25 = 22.08 miles

A Red Rocket can travel 17 2/5 miles on 3/4 tank of gas.

It can travel on full tank:

(17 2/5)*1/4 + 17 2/5 = 87/5*1/4 + 87/5 = 87/5*5/4 = 87/4 = 21.75 miles

A Blue Viper can travel further as:

22.08 > 21.75

Which undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y)? distance line plane point

Answers

Answer:

its D

Step-by-step explanation:

just took the quiz

The undefined geometric term is described as a location on a coordinate plane that is designated by an ordered pair, (x, y) as a point. Therefore, option D is the correct answer.

We need to identify the undefined geometric term from the options.

There are three undefined terms in geometry :

1) point 2) line 3) plane

What is the point?

A point has zero dimension and it is used to locate a figure on a coordinate plane.

The location of the figure is represented by a point in the form of ordered pairs (x,y), on the coordinate plane where x= abscissa and  y= ordinate.

A line is the one-dimensional straight indefinite path on the plane that has no width.

A plane is a two-dimensional flat surface that extends up to infinity.

Therefore, option D is the correct answer.

To learn more about an undefined geometric term visit:

https://brainly.com/question/949373.

#SPJ6

Simplify the expression (0.4)^3.
A. 0.64
B. 1.2
C. 12
D. 0.064

Answers

Answer:

Step-by-step explanation:

(0.4)^3= (0.4)(0.4)(0.4)= (0.16)(0.4)= 0.064

the answer is D

у=x+5 3x+y=25 substitution

Answers

Answer:

(5,10)

Step-by-step explanation:

So we have the system of equations:

[tex]y=x+5\\3x+y=25[/tex]

To solve, we can use substitution.

Substitute the first equation into the second:

[tex]3x+y=25\\3x+(x+5)=25[/tex]

Combine like terms:

[tex]4x+5=25[/tex]

Subtract 5:

[tex]4x=20[/tex]

Divide by 4:

[tex]x=5[/tex]

Now, substitute this into the first equation:

[tex]y=x+5\\y=5+5[/tex]

Add:

[tex]y=10[/tex]

So, our answer is (5,10)

And we are done :)

cosθ=0.5 (to nearest degree)

Answers

Step-by-step explanation:

Hey, there!!

Given,

cos theta = 0.5

To convert it into angle, you have to take cos to right side making it (cos inverse).

Therefore, theta = cos inverse (0.5)

= 60°.

Hope it helps......

please help me, i will give 20 pts and choose brainlest too!

Answers

Answer:

ABC = 36 , DBC = 44

Step-by-step explanation:

(7x+2) + (7x -6) = 8=

14x -4 = 80

14x = 84

x = 6

PLEASE HELP QUICK!!!! Which on are function and which ones are not? A. {(1, 2), (−3, 2), (4, −1), (2, 1), (2, 3)} B. {(−3, 1), (4, 2), (3, −1), (2, −4)} C. {(4, 2), (4, −1), (3, −2), (1, 4), (−2, 4)} D. {(3, −2), (−3, 2), (5, −2), (−1, −1)}

Answers

A. {(1,2) , (-3,2), (4,-1), (2,1), (2,3)}

B. {(-3,1), (4,2), (3,-1), (2,-4)}

C. {(4,2), (4,-1), (3,-2), (1,4), (-2,4)}

D. {(3,-2), (-3,2), (5,-2), (-1,-1)}

Function is something like domain mustn't have the same value in a single set. For example,

{(1,2), (3,4), (5,9)} This is Function because in a single set, none of the domains (x value) are the same. (Domain is the set of x, so the domains are 1,3 and 5)

{(1,2), (1,5), (2,9)} This is NOT Function because in a single set, 2 orders (1,2) and (1,5) both have same domain (x value) and that is both x = 1.

For the A, It's not function because of (2,1) and (2,3)

For the B. It's function because all x values (domain) are different. (they mustn't be the same value or else it won't be function)

For the C, Not function because of (4,2) and (4,-1)

For the D, it's function.

Question 5 of 10
What is the solution to this equation?
5x-4 + 3x = 36

Answers

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

So we have the equation:

[tex]5x-4+3x=36[/tex]

Combine like terms:

[tex]8x-4=36[/tex]

Add 4 to both sides. The left side cancels:

[tex](8x-4)+4=(36)+4\\8x=40[/tex]

Divide both sides by 8:

[tex](8x)/8=(40)/8\\x=5[/tex]

Thus, the value of x is 5.

Answer:

The value of x=5

Step-by-step explanation:

1) 5x-4+3x=36

2) (Add 4 to each side so that the 4 cancels out) 5x+3x=40

3) (Combine like terms, 5x and 3x) 8x=40

4) (Solve: divide each side by 8) x=40

5) answer: 5

I hope this helps let me know if I am wrong and good luck

In general, the value measured by the horizontal axis is called the ________
variable.

Answers

Answer:

independent

Step-by-step explanation:

We put the independent variable on the x axis ( or horizontal)  and the dependent variable on the y axis ( or vertical)

Answer:

independent

Step-by-step explanation:

Simplify 4(5x - 6) - 4(2x + 1) 12x - 5 12x - 20 12x - 28

Answers

Answer:

12x -28

Step-by-step explanation:

4(5x - 6) - 4(2x + 1)

Distribute

20x -24  -8x -4

Combine like terms

12x -28

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