Two numbers have a sum of 2 and a difference of 8. Write a system and solve it to identify the two numbers.

0 solutions.

4x+2 is not = 4x+6

Therefore there will be Jo solutions

Answer:

no solutions

Step-by-step explanation:

Given the 2 equations

y = 4x + 2 → (1)

y = 4x + 6 → (2)

Substitute y = 4x + 2 into (2)

4x + 2 = 4x + 6 ( subtract 2 from both sides )

4x = 4x + 4 ( subtract 4x from both sides )

0 = 4 ← not possible

This indicates the system has no solution

Answer:

18

Step-by-step explanation:

direct variation = y/x

54 / 3 = 18

Answer:

x=11/3

Step-by-step explanation:

Answer:

x=11/3

Step-by-step explanation:

4x-(x+3)=8

4x-x-3=8

3x-3=8

x=11/3

                Hope this helps!! :)

Answer:

1

Step-by-step explanation:

Answer:

18°

Step-by-step explanation:

um ok.........................

The vector x whose image under T is b is given by: x=[35] and the vector x is unique and the answer is NO.

Let A=⎡⎣⎢10−211−1−215⎤⎦⎥ and b=⎡⎣⎢3−1−7⎤⎦⎥.We are given that a linear transformation T:R2→R2 as T(x)=Ax and we need to find a vector x whose image under T is b. We have to solve the system Ax=b to find the vector x. Using elementary row operations, we have to bring the augmented matrix [A|b] into row echelon form and then solve the system as follows:1→2:R2R2−2R1→R2[10−211−1−215∣∣3−1−7]→[10−211−1−215∣∣3−1−7]→[10−211−1−215∣∣3−1−7]R3−3R1→R3[10−211−1−215∣∣3−1−7]→[10−211−1−215∣∣3−1−7]→[10−211−1−215∣∣3−1−7]R3−7R2→R3[10−211−1−215∣∣3−1−7]→[10−211−1−215∣∣3−1−7]→[10−211−1−215∣∣3−1−7]So the system of linear equations becomes :[10−211−1−215∣∣3−1−7][10−211−1−215∣∣3−1−7][10−211−1−215∣∣3−1−7][10−211−1−215∣∣3−1−7]The above system has row echelon form. By back substitution we have:z=−4y+3x−7y+5x=3Which gives the solution: x=[35]Therefore, the vector x whose image under T is b is given by: x=[35].Hence, the vector x is unique and the answer is NO.

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Answer:

21000

Step-by-step explanation:

Answer:

43/90

Step-by-step explanation:

We want to express 0.47777... as a ratio of two integers. To do so, we need to multiply by 10^n, where n is the number of repeating decimals. Only 7 is repeating so we multiply 0.47777... by 10. The trick to do this is to let x=0.47777... In other words, what we are doing is the following:

\(x=0.47777...\\10x=4.7777....\\\text{Subtract x}\\10x-x=4.7777...-x\\9x=4.7777...-0.4777...\\9x=4.3\\x=4.3/9=43/90=0.4\overline{7}\)

Answer: 5 1/4 pounds of bacon and make a total of 7 BLT sandwiches.

To determine the amount of bacon Omar will use and the number of BLT sandwiches he will make, we need to follow these steps:

1. Calculate the amount of bacon used per sandwich:

- It takes 3/4 of a pound of bacon to make 4 sandwiches.

- Divide 3/4 pound by 4 to find the amount of bacon used per sandwich: 3/4 ÷ 4 = 3/16 pound of bacon per sandwich.

2. Calculate the amount of bacon used for 2 full heads of lettuce:

- We know that 5 tomatoes are used for every full head of lettuce.

- Since Omar is using 2 full heads of lettuce, he will need 2 * 5 = 10 tomatoes.

- For every 2 tomatoes used, Omar uses 1 1/20 pounds of bacon.

- Divide the 10 tomatoes by 2 to find the number of times Omar needs to use 2 tomatoes: 10 ÷ 2 = 5.

- Multiply 5 by 1 1/20 to find the amount of bacon used for 2 full heads of lettuce: 5 * 1 1/20 = 5 5/20 = 5 1/4 pounds of bacon.

3. Calculate the number of BLT sandwiches made:

- Divide the total amount of bacon used (5 1/4 pounds) by the amount of bacon used per sandwich (3/16 pound): (5 1/4) ÷ (3/16) = (21/4) ÷ (3/16).

- Invert the divisor and multiply: (21/4) * (16/3) = 21 * 16 / 4 * 3 = 84 / 12 = 7.

- Omar will make a total of 7 BLT sandwiches.

Therefore, Omar will use 5 1/4 pounds of bacon and make a total of 7 BLT sandwiches.

Answer:

18

Step-by-step explanation:

Product in math terms means to multiply

When the term "a number" is used, you can just put a variable

"Is," tells you what the problem equals

With this information, we can create the equation:

(2/3x) + 6 = 12

Now that we have this equation, we can solve it

(2/3x) +6 = 12            We can subtract 6 from both sides.  

            -6     -6

2/3x = 12                   We can divide the 2/3 from each side.

/2/3         /2/3

x = 18

Hope this helps!

Answer:

1

Step-by-step explanation:

2/3x + 12 = 6

2/3x = -6

x = -6 divided by 2/3

(6 divided 2) divided 3 =1

please make me a brainlist

The original number is -21/5 or -4.2 which is divided by 3 more than the number.

In mathematics, an equation is a statement or formula which shows two expressions having equal value and connected by an equal sign. The two expressions consist of variables and/or numbers.

Let the number be 'x' Two times the number = 2x3 more than the number = x + 3

According to the question,two times a number is divided by 3 more than the number is equal to 7 which means 2x / (x+3) = 7

By applying cross multiplication,2x = 7 × ( x+3)2x

= 7x + 7×32x

= 7x + 212x - 7x

= 21-5x = 21x = 21/ (-5)x

= -4.2

Hence the original number is -4.2

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Transformations that maps ∆ABC to ∆A''B''C'' is \(A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)\)

A coordinate plane is a two-dimensional surface made up of two number lines. It is produced when a horizontal line crosses the origin, which is the location where the X-axes and Y-axes meet. The numbers on a coordinate grid are used to find points. Using a coordinate plane, you may graph points, lines, and many other things. It functions as a map and gives precise driving instructions between two spots.

Reflection about x - axes (x,y)→(x,-y)

Reflection about y - axes (x,-y)→(-x,-y)

combined reflection is reflection about origin.

\(A^{'}(5,-3) \\B^{'}(2,-3)\\\)

\(C^{'}(4,-1)\)

Shift upward by 1 unit and on right hand side by 3 units

(x,y)→(x+3;y+1)

=\(A^{''}(8,-2)\\B^{''}(5,-2)\\C^{''}(7,0)\)

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Answer:

y-y1/x-x1=0

y-5/x--1=0

y-5/x+1=0

cross multiplying

y-5=0(x+5)

equation=y-5

Answer:

I don't see a question. if you comment it on this answer I can try to help

Step-by-step explanation:

The theoretical probability of winning a medium prize at the duck pond is:

Probability of winning a medium prize = Number of medium-prize ducks / Total number of ducks

Probability of winning a medium prize = 10 / 61

Probability of winning a medium prize = 0.1639344

To express this probability as a percentage, we multiply it by 100:

Probability of winning a medium prize = 0.1639344 * 100

Probability of winning a medium prize = 16.39344

Rounding this to the nearest thousandth gives:

Probability of winning a medium prize = 16.393%

Therefore, the answer is d. 16.393%.

Step-by-step explanation:

The theoretical probability of winning a medium prize at the duck pond is:

Probability of winning a medium prize = Number of medium-prize ducks / Total number of ducks

Probability of winning a medium prize = 10 / 61

Probability of winning a medium prize = 0.1639344

To express this probability as a percentage, we multiply it by 100:

Probability of winning a medium prize = 0.1639344 * 100

Probability of winning a medium prize = 16.39344

Rounding this to the nearest thousandth gives:

Probability of winning a medium prize = 16.393%

Therefore, the answer is d. 16.393%.

Answer:

x can be all real numbers

Step-by-step explanation:

x - 12 ≤ 44 + x

Subtract x from both sides.

-12 ≤ 44

This statement is true, so the inequality is true for all values of x.

Now let's see how this makes sense. Look at the original inequality.

x - 12 ≤ 44 + x

Rewrite as:

x - 12 ≤ x + 44

What does there inequality mean? Subtract 12 from a number, and compare that with adding 44 to the same number. Of course, a number minus 12 is always less than the same number plus 44. It makes sense that this inequality is true for all values of x.

Answer:

\(\large \boxed{\mathrm{All \ real \ numbers}}\)

Step-by-step explanation:

\(x -12 \leq 44+ x\)

Subtract x from both parts.

\(x -12 -x\leq 44+ x-x\)

\(-12\leq 44\)

This is true.

The value of \(x\) is all real numbers.

In conclusion, 9 blarsfs and 6 crobs on Shm'lort correspond to approximately 200 seconds in Earth time.

Let's start by finding the conversion rates between Shm'lort time and Earth time. From the given information, we know that 3 blarsfs and 18 crobs correspond to 1 minute on Shm'lort. This means that 1 blarsf is equivalent to 20 seconds (60 seconds / 3 blarsfs) and 1 crob is equivalent to 3.33 seconds (60 seconds / 18 crobs).

Next, we can use the conversion rates to calculate the Earth time for 9 blarsfs and 6 crobs:

9 blarsfs = 9 blarsfs * 20 seconds/blarsf = 180 seconds

6 crobs = 6 crobs * 3.33 seconds/crob = 19.98 seconds (approximately 20 seconds)

Therefore, the total Earth time elapsed for 9 blarsfs and 6 crobs on Shm'lort is 180 seconds (blarsfs) + 20 seconds (crobs) = 200 seconds.

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Answer:

A

Y-Intercept is -2

X then Y so it would be -2,-4

Answer:

152 units.

Step-by-step explanation:

(5*8)+(5*8)+(6*8)+(6*4/2)+(6*4/2)

40+40+48+12+12

152

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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The characteristics that describe the following data-set are given as follows:

Categorical and bivariate.

First, we classify the variable as either numerical or categorical, as follows:

In the context of this problem, the variables are as follows:

Thus the variable is categorical.

Additionally, there are two variables in this problem, the ones stated above, the type of service and the age, hence the data set is classified as bivariate.

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The inverse of a conditional statement is the result of negating both the hypothesis and conclusion of the conditional statement. For example, the inverse of P → Q is ~P → ~Q.

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Answer:

32 ft. is the length.

Step-by-step explanation:

Divide 1,728 by 54 to get 32 ft.

Hope it helped.

Answer:

D. In an axiomatic system, every statement, either its capable of being proven true or false.

Step-by-step explanation:

I'm sure.

Answer:

$226.60 Your monthly payment.  :)

Step-by-step explanation:

We know that taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

A way to build good credit is by paying bills when they are due. Additionally, using only secured loans can also help build good credit, as these loans require collateral and can be easier to qualify for.

Using only credit cards can also be a way to build good credit, as long as the cards are used responsibly and payments are made on time.

However, taking out too many lines of credit can actually harm your credit score, so it's important to be cautious with how many accounts you open.

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Answer:

1- a²+b²=c²

2- 5²+12²=13²

3- 25+144=169

4- 169=169

A leaking faucet in the S&E building lab, dripping at a rate of one drop per second, will result in a water loss of approximately 4,725 liters in one year.

To calculate the amount of water lost in one year, we need to determine the number of drops per year and then convert it to liters. Since the faucet drips at a rate of one drop per second, there are 60 drops in a minute (60 seconds), which totals to 3,600 drops in an hour (60 minutes).

In a day, there would be 86,400 drops (24 hours * 3,600 drops). Considering a year of 365 days, the total number of drops would be approximately 31,536,000 drops (86,400 drops * 365 days). To convert the number of drops to liters, we need to multiply the total number of drops by the volume of each drop.

Given that each drop contains 0.150 milliliters, we convert it to liters by dividing by 1,000, resulting in 0.00015 liters per drop. Multiplying the total number of drops by the volume per drop, we find that the total water loss is approximately 4,725 liters (31,536,000 drops * 0.00015 liters/drop).

Therefore, in one year, the leaking faucet in the S&E building lab would result in a water loss of approximately 4,725 liters.

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