There are six marbles in a bag. 3 are green, and 3 are yellow. If you draw a marble, replace it, and then draw another, then what is the probability of choosing 2 yellow marbles?

Answer:

I believe the answer is x + 3

Step-by-step explanation:

[tex]{ \large{ \sf{w = \dfrac {\cancel{(x + 5)}(x + 3)}{ \cancel{x + 5}} }}}[/tex]

Answer:

one, x = 7

Step-by-step explanation:

7(x - 2) + 5 = 3 (2x - 1) + 1

reduce:

7x - 14 + 5 = 6x - 3 + 1

x = 7

Answer:

Step-by-step explanation:

The first step is usually to isolate the x term. You have -4x - ⅖ on the lefthand side of the equation. You want to remove the -⅖ so the -4x is alone.

Add ⅖ to both sides:

-4x > ⅖ + 5/10

Answer:

-3 + 2 i

Step-by-step explanation:

Answer:

y₂ = 3

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - [tex]\frac{3}{4}[/tex]

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (7, - 6) and (x₂, y₂ ) = (- 5, y₂ )

m = [tex]\frac{y_{2}+6 }{-5-7}[/tex] , that is

[tex]\frac{y_{2}+6 }{-12}[/tex] = - [tex]\frac{3}{4}[/tex] ( cross- multiply )

4(y₂ + 6) = 36 ( divide both sides by 4 )

y₂ + 6 = 9 ( subtract 6 from both sides )

y₂ = 3

Answer:

64

Step-by-step explanation:

Evaluate log64 1/16. Write an equation in logarithmic form. log64 1/16 = x. Convert the equation to exponential form 1/16 = 64

Answer:Yes

Step-by-step explanation:

Answer: Im not 100% sure but I would say (1,3)

Step-by-step explanation:

Answer:

translation

Step-by-step explanation:

Answer:

The equation is y = 1. Therefore, the slope is undefined.

Answer0-4

Step-by-step explanation:

Answer:

[tex]\boxed{\text{\sf \Large 3}}[/tex]

Step-by-step explanation:

Angles in a triangle add up to 180°

[tex]180-(24x+3+25x)[/tex]

[tex]-49x+177[/tex]

Angles on a straight line add up to 180°

[tex]-49x+177+150=180[/tex]

[tex]x=3[/tex]

Answer:

(x- 2.5)

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation: Trust me you aint gonna get it wrong i promise

Answer:

b = [tex]\frac{3a-8}{4}[/tex]

Step-by-step explanation:

Given

3a - 7 = 4b + 1 ( subtract 1 from both sides )

3a - 8 = 4b ( divide both sides by 4 )

[tex]\frac{3a-8}{4}[/tex] = b

Answer:

A you multiply them all together

Answer:

So you have a scale

you multiply: 8×(3/4)

And your x= 6

Answer: c

Step-by-step explanation:

Solution by substitution method

-2x+y=-5

2x-y=5

and 3x-2y=12

Suppose,

2x-y=5→(1)

and 3x-2y=12→(2)

Taking equation (1), we have

2x-y=5

⇒y=2x-5→(3)

 Putting y=2x-5 in equation (2), we get

3x-2y=12

3x-2(2x-5)=12

⇒3x-4x+10=12

⇒-x+10=12

⇒-x=12-10

⇒-x=2

⇒x=-2→(4)

Now, Putting x=-2 in equation (3), we get

y=2x-5

⇒y=2(-2)-5

⇒y=-4-5

⇒y= -9

∴y=-9andx=-2

Answer:

20

Step-by-step explanation:

Answer: 3.19 feet.

Step-by-step explanation: 319 divided by 100 is 3.19

Answer:

64 pizzas

Step-by-step explanation:

Answer:

-24 = -0.6k

k=-24/-0.6

k=40

Let me know if this helps!

Answer:

x = 4

Step-by-step explanation:

as it is parallelogram opposite sides are equal

so14x -7= 10x-9

14x-7+9=10x

14x -16 = 10x

14x -10x = 16

4x =16

x = 16/4

x = 4

also u can put x = 4 in both expressions and u will get answer of both 49

Answer:

Step-by-step explanation:

The systems of linear equations that have no solution are:

a)

x + y + z = 1,100

x - 2y - z = -500

2x + 3y + 2z = 2,600

b)

x + y + z = 2,400

2x - 2y + 2z = 700

x + 3y + z = 2,400

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

To determine which systems of linear equations have no solution, we need to check whether the system is inconsistent, i.e., there are no values of x, y, and z that satisfy all the equations simultaneously.

One way to check this is to use row reduction to put the system into row echelon form or reduced row echelon form and see if we obtain any contradictory equations.

Another way is to use determinants, but we'll use row reduction here.

a)

| 1 1 1 | 1,100 |

| 1 -2 -1 | -500 |

| 2 3 2 | 2,600 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,100 |

| 0 -3 -2 | -1,600 |

| 0 1 -1 | -1,800 |

R2 = -1/3 R2 and R3 = R3 + R2:

| 1 1 1 | 1,100 |

| 0 1/3 2/3 | 533.33|

| 0 0 1/3 | -933.33|

Now, we can solve for z in the last equation:

z = -2800

Substituting into the second equation gives:

y = 2666.67

But substituting into the first equation gives:

x = -566.67

So, this system has no solution.

b)

| 1 1 1 | 1,500 |

| 1 -1 -1 | -500 |

| 2 1 1 | 2,000 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,500 |

| 0 -2 -2 | -2,000 |

| 0 -1 -1 | -1,000 |

R2 = -1/2 R2 and R3 = R3 - 1/2 R2:

| 1 1 1 | 1,500 |

| 0 1 1 | 1,000 |

| 0 0 -1 | -500 |

Now, we can solve for z in the last equation:

z = 500

Substituting into the second equation gives:

y = 500

But substituting into the first equation gives:

x = 500

So, this system has a unique solution.

c)

| 1 1 1 | 1,400 |

| 1 -2 -1 | -500 |

| 2 2 2 | 2,700 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,400 |

| 0 -3 -2 | -900 |

| 0 0 0 | 0 |

The last row of the augmented matrix corresponds to the equation 0x + 0y + 0z = 0, which is always true.

Therefore, this equation is not contradictory and doesn't add any new information to the system.

We can eliminate it and rewrite the system as:

| 1 1 1 | 1,400 |

| 0 -3 -2 | -900 |

R2 = -1/3 R2:

| 1 1 1 | 1,400 |

| 0 1 2/3 | 300 |

R1 = R1 - R2:

| 1 0 1/3 | 1,100 |

| 0 1 2/3 | 300 |

Now, we can solve for z in the first equation:

z = 3,300

Substituting into the second equation gives:

y = -1,200

But substituting into the first equation gives:

x = -2,200

So, this system has a unique solution.

d)

| 1 1 1 | 1,400 |

|-0.5 -0.5 -0.5 | -900 |

| 2 3 2 | 3,000 |

R2 = 2R1 + R2 and R3 = -4R1 + R3:

| 1 1 1 | 1,400 |

| 0 1/2 1/2 | -100 |

| 0 -1 -2 | -3,600 |

R3 = -2R2 + R3:

| 1 1 1 | 1,400 |

| 0 1/2 1/2 | -100 |

| 0 0 -3 | -3,400 |

Now, we can solve for z in the last equation:

z = 1,133.33

Substituting into the second equation gives:

y = -1,066.67

But substituting into the first equation gives:

x = 2,333.33

So, this system has a unique solution.

e)

| 1 1 1 | 1,900 |

| 1 -1 -2 | -2,000 |

| 2 2 1 | 1,100 |

R2 = R2 - R1 and R3 = R3 - 2R1:

| 1 1 1 | 1,900 |

| 0 -2 -3 | -3,900 |

| 0 0 -3 | -4,100 |

Now, we can solve for z in the last equation:

z = 1,366.67

Substituting into the second equation gives:

y = -1,033.33

But substituting into the first equation gives:

x = 1,667

So, this system has a unique solution.

f)

| 1 1 1 | 2,400 |

| 2 -2 2 | 700 |

| 1 3 1 | 2,400 |

R2 = R2 - 2R1 and R3 = R3 - R1:

| 1 1 1 | 2,400 |

| 0 -4 0 | -1,100 |

| 0 2 0 | 1,000 |

R2 = -1/4 R2 and R3 = 1/2 R3:

| 1 1 1 | 2,400 |

| 0 1 0 | 275 |

| 0 1 0 | 500 |

R3 = R3 - R2:

| 1 1 1 | 2,400 |

| 0 1 0 | 275 |

| 0 0 0 | 225 |

The last equation shows that 0x + 0y + 0z = 225, which is impossible. Therefore, this system has no solution.

Thus,

The systems of linear equations that have no solution are:

a)

x + y + z = 1,100

x - 2y - z = -500

2x + 3y + 2z = 2,600

b)

x + y + z = 2,400

2x - 2y + 2z = 700

x + 3y + z = 2,400

Learn more about solutions of equations here:

https://brainly.com/question/545403

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but maybe b

Step-by-step explanation: