what is the use greatest common factor and the distributive property t write equivalent
expression in factor form 2x+8y=

800=200×4

the distance is 800 miles and the time is 4 hours

and the situation that are given is d=200t

Distance =800 miles

Time=4 hours

Given Situation=200

800=200•4

Answer:Yes

Step-by-step explanation:

Answer:

This is your answer ☺️☺️

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:  [tex]s=\dfrac{(d-5)}{2}[/tex].

Step-by-step explanation:

Given: d denotes Diego's age while s denotes his sister's age.

The situation is represented by the equation d=2s+5.

To find his sister's age we can write the above equation as [tex]s=\dfrac{(d-5)}{2}[/tex] [we first subtract 5 from both sides and then divide both sides by 2]

Hence, the required equation: [tex]s=\dfrac{(d-5)}{2}[/tex].

Answer:

B,c,d

Step-by-step explanation:

0.6 and -0.6.

In mathematics, a function is a relationship between two values, x and y, from different sets—A and B. It connects inputs and outcomes.

Given a graph of a quadratic and a cubic equation. Sometimes you may figure out the answer by simply reading the presented problem. In order to determine the solution to the given problem, we must look at any (or any) point on the provided graph. Typically, we start by looking at the graph's x- or y-intercepts. Let's look at the following graph's y-intercept, where we can clearly understand what it looks like. We can tell that the graph's y-intercept is at -1 by looking at it. A position on the y-axis where the value of x is 0 is known as the y-intercept. Let's now examine the provided functions.

F(x) = a(x + 0.5) (x  + 1.5)

g(x) = b(x+1)³

Where after putting the value at x = 0,  b is 1 and a is 2.667.

Putting option in both equations only value which satisfying function F(x) =  g(x) is 0.6, -0.6.

Therefore,  values that are approximate solutions to the equation f(x) = g(x) are 0.6 and -0.6.

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Answer:

7/26

Step-by-step explanation:

First, find the probability of pulling out a big marble.

Since there are 7 big marbles, and 26 in total, the probability is 7/26

Now, find the probability of pulling out a small marble after the replacement.

There are 6 small marbles and 26 in total, so the probability is 6/26. This can be simplified by dividing each side by 2. This will get you 3/13

To find the probability of both of these happening, multiply the probabilities by each other:

(7/26) x (3/13)

= 7/26

So, the probability is 7/26

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:

The first one is a the second one is b

Step-by-step explanation:

Answer:

translation

Step-by-step explanation:

Given:

Consider the equation

[tex]2+\dfrac{2x}{5}=-10[/tex]

To find:

The steps and solution for the given equation.

Solution:

We have,

[tex]2+\dfrac{2x}{5}=-10[/tex]

Step 1: Using subtraction property of equality, subtract 2 from both sides.

[tex]2+\dfrac{2x}{5}-2=-10-2[/tex]

[tex]\dfrac{2x}{5}=-12[/tex]

Step 2: Using multiplication property of equality, multiply both sides by 5.

[tex]\dfrac{2x}{5}\times 5=-12\times 5[/tex]

[tex]2x=-60[/tex]

Step 3: Using division property of equality, divide both sides by 2.

[tex]\dfrac{2x}{2}=\dfrac{-60}{2}[/tex]

[tex]x=-30[/tex]

Therefore, the solution of the given equation is [tex]x=-30[/tex].

Answer:

x=8

Step-by-step explanation:

Answer:

So you have a scale

you multiply: 8×(3/4)

And your x= 6

Answer:

If both g(x) and f(x) are the same equation, then they will have the same slopes.

Answer: C

Step-by-step explanation:

you're welcome

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

Slide curve together,if it look like a happy face

Happy = positive/a>1

Slide curve together, if it look like a sad face

Sad = negative/a<1

Answer:

20

Step-by-step explanation:

Answer:

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

Answer:

Two negative make a positive so this equation is basically 39 = n + 12 so you need to subtract 12 from each side. This makes it n = 27

Hope this helps!

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

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Answer:

-24 = -0.6k

k=-24/-0.6

k=40

Let me know if this helps!

Answer:

No

Step-by-step explanation:

5 to the power of -1 is 0.2 while 5 to the power of 1/2 is 2.5

Answer:

-3 + 2 i

Step-by-step explanation:

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:

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:

7.99+2(1.09)+3(2.75)+x =25

Step-by-step explanation:

what's given are the prices of the canvas, brushes, and bottles of pain. 7.99 represents the one canvas Anna is buying, 2(1.09) represents the 2 brushes, and 3(2.75) represents the bottle of paints. Now what's left is x and x represents the amount of money left on the gift card. The gift card is $25 in total so that's why at the end of the equation it equals to $25.

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:

6.50 is the answer to this

6.50 Step-by-step explanation: