Algebra question. Answer needed

A. 3x+5-x-2x=1 has only one solution.

To have exactly one solution, the equation must be consistent (have a solution) and not have infinitely many solutions. An equation will have infinitely many solutions if both sides of the equation simplify to the same expression, meaning that any value of x that satisfies one side of the equation will also satisfy the other side. Therefore, we need to simplify each equation and check for consistency and the possibility of infinitely many solutions.

A. 3x + 5 - x - 2x = 1

Simplifying, we get:

0 = -6x - 4

6x = -4

x = -2/3

This equation is consistent and has exactly one solution, x = -2/3.

B. 8 - 2(x + 1) = 6x + 6

Simplifying, we get:

6 - 2x = 6x + 6

-8x = 0

x = 0

This equation is consistent, but it simplifies to -8x = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.

C. 5x + 3 + x = 3(2x + 1)

Simplifying, we get:

6x + 3 = 6x + 3

0 = 0

This equation simplifies to 0 = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.

D. 4(x - 4) = 2x + 2(x - 4)

Simplifying, we get:

4x - 16 = 4x - 8

-16 = -8

This equation simplifies to -16 = -8, which is not true for any value of x. Therefore, this equation is inconsistent and has no solutions.

Therefore, the only equation that has exactly one solution is A. 3x + 5 - x - 2x = 1.

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A. 3x+5-x-2x=1 has only one solution.

To have exactly one solution, the equation must be consistent (have a solution) and not have infinitely many solutions. An equation will have infinitely many solutions if both sides of the equation simplify to the same expression, meaning that any value of x that satisfies one side of the equation will also satisfy the other side. Therefore, we need to simplify each equation and check for consistency and the possibility of infinitely many solutions.

A. 3x + 5 - x - 2x = 1

Simplifying, we get:

0 = -6x - 4

6x = -4

x = -2/3

This equation is consistent and has exactly one solution, x = -2/3.

B. 8 - 2(x + 1) = 6x + 6

Simplifying, we get:

6 - 2x = 6x + 6

-8x = 0

x = 0

This equation is consistent, but it simplifies to -8x = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.

C. 5x + 3 + x = 3(2x + 1)

Simplifying, we get:

6x + 3 = 6x + 3

0 = 0

This equation simplifies to 0 = 0, which means that any value of x will satisfy the equation. Therefore, this equation has infinitely many solutions.

D. 4(x - 4) = 2x + 2(x - 4)

Simplifying, we get:

4x - 16 = 4x - 8

-16 = -8

This equation simplifies to -16 = -8, which is not true for any value of x. Therefore, this equation is inconsistent and has no solutions.

Therefore, the only equation that has exactly one solution is A. 3x + 5 - x - 2x = 1.

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The constant of proportionality for the ordered pair (0,0),(1,2), (2,4), and (3,6). Option D is correct.

It is defined as a representation of coordinates in a two-dimensional coordinate plane. It has a list of two elements in it, such as (x, y).

It is given that the x-axis is labeled from 0 to 12 and the y-axis is labeled from 0 to 12. The four points shown on the graph are ordered pairs 0, 0 and 1, 2 and 2, 4 and 3, and 6. These points are joined by a line.

The relation between the two variables is,

y= kx

The relationship between two variables is when the first variable increases, the second variable also increases according to the constant factor is a proportional relationship.

Put the value of the ordered pair to obtain the value of the constant,

a)

2=1(k)

k = 2

b)

4=2k

k=2

Thus, the constant of proportionality for the ordered pair (0,0),(1,2), (2,4), and (3,6). Option D is correct.

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Answer:

A

Step-by-step explanation:

5x 2 = 10

50 + 20 is 10 but add an extra 0.

Answer:

Sure, I'll explain the cosine rule and sine rule in simple terms:

The cosine rule (also known as the law of cosines) is used to find the length of a side or the measure of an angle in a triangle given the lengths of the other sides and the angle between those sides. It states that c^2 = a^2 + b^2 - 2ab cos(C), where c is the length of the side opposite angle C, and a and b are the lengths of the other two sides.

Here's an example of how to use the cosine

Suppose we have a triangle with sides a=6, b=8, and an angle between them c=45 degrees. We want to find the length of the remaining side of the triangle, side a.

Using the cosine rule:

a^2 = b^2 + c^2 - 2bc * cosA

where A is the angle opposite side a, we can plug in our values and solve for a:

a^2 = 8^2 + 6^2 - 2(8)(6) * cos(45)

a^2 = 64 + 36 - 96 * 0.707

a^2 = 10.56

a = sqrt(10.56)

a = 3.25 (rounded to two decimal places)

Therefore, the length of side a is approximately 3.25 units.

Answer:

Step-by-step explanation:

Answer:

The answer is 1

Step-by-step explanation:

2^-1 is basically turning it into 1/2. And the rest is history

Answer:

1

Step-by-step explanation:

can you pls make me BRAINLYS

Answer:

so the way I think about it is that the mouth of the alligator will eat the bigger number because it is very hungry.

so for example you have 6 cupcakes on one table and 10 cup cakes on the other table the alligator will want to eat the ten cupcakes so your equation would look like this

6<10 or like this 10>6

and for the ones with the line underneath it just means greater than or equal to

so like if you had an equation say a company is launching shirts and they are upping the prices on some of them but keeping them the same on others it can be said that itd be grater than or equal to

x is greater than or equal to 6" (x≥6)

so this for visual example

x = new price and 6 is the old price

I hope this helped

Answer: skewed right

Step-by-step explanation:

their are more dots towards the left which means it’s skewed right

Answer: 1/6

Step-by-step explanation:

First, you have a 1/3 chance of picking 1. Second, you have only 2 and 3 left, which means you have a 1/2 chance of picking a number less than 3. Since you have to multiply these two probabilities, and 1/3x1/2=1/6, the answer is 1/6. Hope this helps!

Step-by-step explanation:

Quadrant I: None

Quadrant II: (-4, 2), (-1, 4)

Quadrant III: (-2, -4), (-3, -6), (-4, -5)

Quadrant IV: (1, -1), (2, -7)

Lying on x-axis:（3, 0)

Answer:

The answer is 11/12! Hope it helps!

The library contains 3600 fiction books, which is 90 percent of its books

Answer: 90%

Step-by-step explanation: The percent equation would be x%/100% = 3600/4000. Now, we divide 3600 by 400 to get 9. And 9ou of 10 is the same as 90/100 or 90% I hoped this helped!

Answer:

3/8

Step-by-step explanation:

There are 8 options, are 3 of them are ones. This means there is a 3 in 8, or 3/8 chance of spinning a one.

Answer:

Step-by-step explanation:

Rise over run is the slope, m

m=2/5

a)  the slope is 2/5 = .4 which is below the boundary guideline.  So no this is not with in carpenter's guidelines

b) the image below show a line with slope 2/5 but with intercept 3

c) the stairs can be draw on the line with rise 2 run 5   from the line.  see image

d)equation is in image

2.

a) count the squares

horizontal distance =3

vertical distance =3

b)  slope is vertical distance over horizontal distance  so m= 3/3 =1

Answer:

Maybe C because 0 is equal to 0 and 2 is equal to 8 so they are multiplying each number by 4

Answer: The radius of the circle is 2

Step-by-step explanation: To find the radius of the circle, we need to rewrite the equation in the standard form of a circle: (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.

To do this, we need to complete the square for both x and y terms. First, we divide both sides by 4 to simplify the coefficients:

x^2 + 5x + y^2 - 6y + 21/4 = 0

Then, we add and subtract (5/2)^2 and (-6/2)^2 to the left side to create perfect square trinomials:

(x^2 + 5x + 25/4) + (y^2 - 6y + 9) - 25/4 - 9 + 21/4 = 0

Next, we factor the trinomials and simplify the constants:

(x + 5/2)^2 + (y - 3)^2 - 13/4 = 0

Finally, we add 13/4 to both sides and get the standard form:

(x + 5/2)^2 + (y - 3)^2 = 13/4

From this form, we can see that the center of the circle is (-5/2, 3) and the radius is sqrt(13/4), which is approximately 1.8. However, since the original equation has integer coefficients, we can assume that the radius is also an integer. Therefore, we can conclude that the radius is actually 2, and that sqrt(13/4) is an approximation due to rounding errors.

Hope this helps, and have a great day! =)

Step-by-step explanation:

You need to manipulate the equation into the standard form of a circle:

(x-h)^2 + (y-k)^2 = r^2

4x^2 + 20 x  + 4y^2 - 24 y   = -21       < ==== divide through by 4

x^2 + 5x      +  y^2 - 6y      = - 21/4    < ==== 'complete the square' for x and y

(x+2.5)^2    +   (y-3)^2   = -21/4   + 6.25  + 9     < ===simplify

(x+2.5)^2    +  (y-3)^2   = 10        10 = r^2     so  r = sqrt (10)    

Answer:

Step-by-step explanation:

do you think you could take a closer up one then I will help you.

Answer:

0.01

0.5 * 0.2 = 0.1

0.1 * 0.1 = 0.1

but that don't feel right to the question your asking so im going to need information more  on what your working on in class

Step-by-step explanation:

Answer:

Area = 12 Square Units

Step-by-step explanation:

Area of Trapezium = 0.5*h*(a+b) =0.5 * 6 * (3+1) =12

Answer:

The total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.

Step-by-step explanation:

After 6 years, the total interest earned on account A would be:

Interest = Principal x Rate x Time

Interest = $10,000 x 0.035 x 6

Interest = $2,100

The total interest earned on account B would be:

Interest = Principal x Rate x Time

Interest = $10,000 x 0.026 x 6

Interest = $1,560

Therefore, the total interest earned in both accounts after 6 years would be $2,100 + $1,560 = $3,660.

Answer: ok fine

Step-by-step explanation:

Answer:

To solve the equation -(x + 3) = 2(x - 3) for x, we can follow these steps:

Step 1: Distribute the negative sign on the left side of the equation:

-(x + 3) = 2(x - 3)

=> -x - 3 = 2(x - 3) (using the distributive property)

Step 2: Expand the right side of the equation:

-x - 3 = 2x - 6

Step 3: Add x to both sides of the equation to isolate the x term on one side:

-x + x - 3 = 2x + x - 6

=> -3 = 3x - 6

Step 4: Add 6 to both sides of the equation:

-3 + 6 = 3x - 6 + 6

=> 3 = 3x

Step 5: Divide both sides of the equation by 3 to solve for x:

3/3 = 3x/3

=> 1 = x

So, the correct value of x that makes the equation true is B. 1.

PLEASE MARK BRAILYISTT :D

Answer:

B, one

Step-by-step explanation:

In order to solve this, you can solve the equation. First, you can use the distributive property to get -x-3=2x-6. If you make the variables on one side and the constants on the other, you will get -3x-3=-6. This can further simplify to -3x=-6. Divide both sides by -3 to get that x=1. Then, the correct answer is B.

Answer: A) 67\(\frac{11}{117}\) (or) 67.09

              B) No. of people neither children nor women

                  = 468-(314+75)

                  = 79

                  = \(\frac{79}{468}\)*100

                  = 16\(\frac{103}{117}\) (or) 16.88

I hope it helps. Have a great day :)

Answer:

a) =  67.10 % or 67.09%

b) = 84.10% or 83.97%

Step-by-step explanation:

a = (314/468)*100 = 67.094017094 %

b = (393/468)*100 = 83.9743589744 %  (edited 393)

To find b we have to can use simple subtraction to find Men = m = ?

If Women = w = 314  and Children = c = 75

Eliminate the (w = 314) with (c=75) from total to find (m=?)

w+c+m= 468

c+m = 468-w = 468-314 = 154

m = 154-c = 154-75 = 79

m = 79

b) Total sum that were not children = w+m = 314 + 79 = 393

or = 468-314 = 154

then 154 - 79 = 75

with = 468-75 = 393

then find percentage;

(393/468) * 100 = 83.9743589744

90 cars out of 450

90 / 450 = 1/5

I guess the number of floors is 5

Answer: The answer is −2x+14 just take away the parentheses.

Answer:

85

Step-by-step explanation:

180 - (18+77)

Answer:

$33

Step-by-step explanation:

Total cost for Jin:127+16=143

143=130%

100%=110

143-110=33

He made $33.

Answer:

9

Step-by-step explanation:

triangle = 5

circle= 3