What is the solution to the following system of equations?
[x+y=5
(x-y= 1
0 (-2,7)
(2,3)
(3, 2)
(7-2)

Answer:

7

Step-by-step explanation:

n-4m= 31  - 4(6) = 31 -24 = 7

Answer:

y = - 2x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (0, - 2) ← 2 points on the line

m = [tex]\frac{-2-4}{0+3}[/tex] = [tex]\frac{-6}{3}[/tex] = - 2

• Parallel lines have equal slopes, hence slope of parallel line = - 2, thus

y = - 2x + c ← partial equation of parallel line

To find c substitute (- 5, 2) into the partial equation

2 = 10 + c ⇒ c = 2 - 10 = - 8

y = - 2x - 8 ← equation of parallel line

|7-10| = 3 (absolute value), then multiply to the negative sign. answer:-3

Answer:

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 x 5

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since we know the line goes through points [tex](8,9)[/tex] and [tex](2,4)[/tex], we can construct a line in slope-intercept form

[tex]y = mx + b[/tex]

where [tex]m[/tex] is the slope and [tex]b[/tex] is the Y-intercept.

The slope can be found using the two points provided:

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

[tex]\frac{9 - 4}{8 - 2}[/tex]

[tex]\frac{5}{6}[/tex]

The line is now represented as

[tex]y = \frac{5}{6}x + b[/tex]

To solve for [tex]b[/tex], we can plug in one of the two points:

[tex]y = \frac{5}{6}x + b[/tex]

[tex](9) = \frac{5}{6}(8) + b[/tex]

[tex]4 = \frac{20}{3} + b[/tex]

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

We know have our line:

[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]

To determine if the point [tex](-4, 3)[/tex] falls on this line, we just plug the numbers into the equation and see if it holds true:

[tex]y = \frac{5}{6}x - \frac{8}{3}[/tex]

[tex](3) = \frac{5}{6}(-4) - \frac{8}{3}[/tex]

[tex]3 = \frac{-10}{3} - \frac{8}{3}[/tex]

[tex]3 = \frac{-18}{3}[/tex]

[tex]3 = -6[/tex]

This does not hold true, so the point is not on the line.

Answer:

x=3

Step-by-step explanation:

You take 12-9 to get 3 :)

Answer:

[tex]3[/tex]

Step-by-step explanation:

Simple, all you have to do is backwards equation. If the sum is 12. Subtract 12 by one of the numbers given.

[tex]12 - 9[/tex]

[tex]==> 3[/tex]

[tex]3 + 9 = 12[/tex]

Answer:

Step-by-step explanation:

Answer from:

answer:

a little over 31hours

step-by-step explanation:

use simple proportion

58miles = 1hr

1805miles = ?

(1805x1)/58 = 31.12hrs

since the question asks you for an estimation, it should be fine to say a little over 31hours but do show full working and the accurate answer

Answer:

a little over 31hours

Step-by-step explanation:

Hey!

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

Solution:

= 7√3 + 2√9

= 7√3 + 6

= 18.124... (Non-Terminating or Irrational)

When we add a rational number and a irrational number it's always irrational.

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

Answer:

The answer 7√3 + 6 is irrational because the sum of a rational number and irrational number is an irrational number.

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Hope This Helped! Good Luck!

Answer:

d) The sum of an Irrational number and a Rational Number is still an Irrational Number

Step-by-step explanation:

[tex]7\sqrt{3}+2\sqrt{3^2}=7\sqrt{3}+6[/tex]

Rational Number = Any number that can be written as a quotient a/b form

Irrational Number =Any number that cannot be written as quotient a/b form

Since we have an Irrational number such as [tex]7\sqrt{3}=7*1.73....[/tex]it's another non-terminating and non-repeating number if I add 6 (rational number since 6=6/1) units to as addend to this sum is still an irrational number as the sum.

Answer:

12x

Step-by-step explanation:

7+5+x

7+5=12

12+x=12x

X can be any thing so whatever the two variables are use that to get y

Answer:

The range is y≥ 5

Step-by-step explanation:

Answer:

A. x<7

Step-by-step explanation:

B. x < 28

C. x < 50

D. x < 24

These answers exceed the cat adoption facilities cat limit.

Rate as Brainliest plz

Answer:

A. x<7

Step-by-step explanation:

We know three things:

Now we want to know how many more days the facility can continue to take in cats if none of their cats get adopted.

First, we want to know how many cats until the facility exceeds the occupancy and to do it we have to subtract the occupancy minus the cats they already have:

200 - 172 = 28

With this answer, we know that if they get 28 more cats they will have 200 cats and the occupancy has to be below 200.

Now we want to know how many days will it take them to get 28 more cats:

We know that every day they get 4 cats, so we are going to divide the number of cats to get 200 by the number of cats they get every day:

28(cats) / 4(cats per day) = 7 days

So in 7 days, they will pass their occupancy, which means that they can only take cats less than 7 days.

The expression will be:

x < 7

Where:

x is how many more days they can take in cats

< means less than

Answer:

first = 65

second = 325

Third = 165

Step-by-step explanation:

Let the first number = x

first: x

second: 5x

Third = x + 100

first + second + third = 555

x + 5x + x + 100 = 555               Combine

7x + 100 = 555                           Subtract 100 from both sides

7x + 100 - 100 = 555 - 100

7x = 455                                      Divide by 7

7x/7 = 455/7

x = 65

Answer: try negative three-3 hope this helps you!

Step-by-step explanation:

Answer:

B.Associate their brand with a reference group of star athletes

Step-by-step explanation:

At a company that markets televisions, marketers learn that many of the consumers who are willing to pay for high-quality televisions are sports fans.

B.Associate their brand with a reference group of star athletes.

This seems the most appropriate answer. When a brand is associated with someone we like, it is very likely that we use the same products like that person.

Answer: 63.75 or 225/4

I just did it on an IT Inspired inspired Calculator to solve for X and 63.75

Step-by-step explanation:

8(x - 7) = 454

x - 7 = 454/8

x - 7 = 57

x = 57 + 7

x = 64

The answer is B. both a relation and a function.

Relation: A relation is any set of ordered pairs. It shows how values in the x-axis (domain) are related to values in the y-axis (range). The graph visually represents a relation because it shows pairs of x and y values.

Function: A function is a specific type of relation where each input (x-value) has exactly one output (y-value). In other words, no x-value can be paired with two different y-values.

Vertical Line Test: To determine if a graph represents a function, you can use the vertical line test.  If you can draw any vertical line that intersects the graph more than once, it's not a function. If every vertical line intersects the graph at most once, it's a function.

Applying the Vertical Line Test: I'm able to see the graph you sent. When I apply the vertical line test to this graph, I can see that every vertical line intersects the graph at only one point. This means that each x-value has only one corresponding y-value, satisfying the definition of a function.

Therefore, the graph represents both a relation (because it shows pairs of x and y values) and a function (because each x-value has only one corresponding y-value).

The option that best describes the graph is:

B. both a relation and a function

How to identify a function?

A relation is a set of ordered pairs that express a relationship between elements of sets. Meanwhile, a function is a type of relation where each element in the domain is related to exactly one element in the codomain.

In this case, the line represents the equation y = 5.

The equation y = 5 represents a function. A function is a relation in which each input value (x) leads to exactly one output value (y) .

In the case of y = 5, no matter what the input (x) is, the output (y) is always 5, satisfying the definition of a function. Therefore, y = 5 is a function and a relation.

Answer:

12

Step-by-step explanation:

28 / 4 = 7

1) -2

2) -2+7=5

3) 5+7=12

4) 12+7=19

5)19+7=26

When moving in equal steps from -2 to 26 over four steps, each step increases the value by 7. Therefore, after two steps from -2, the third number you reach is 12.

The question is about stepping evenly or moving in equal intervals from an initial number. Given that the first number is -2 and the fifth number is 26, we need to determine what the third number would be. Taking -2 being the first and the fifth being 26 means there are 4 steps between them. To find the equal steps between, you need to subtract -2 from 26 and divide by 4 (the steps in between), which gives you 7. This means each step increases the value by 7. Therefore, the first number is -2, the second number is -2+7 = 5, and third number is 5+7=12.

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Answer:

The answer would be -2 1/2  

Step-by-step explanation:

Answer:

That is a quadratic equation.

It can be solved by using the quadratic formula:

x = (-b +-sqr root b^2 -4*a*c) / 2 *a

In this equation a = -3

b = -4 and c = -8

x = (--4 +- sqr root (-4^2 - 4 * -3 * -8)) / (2 * -3)

x = (4 +- sqr root (16 -96)) / -6

x = 4 +- sqr root (-80) / -6

x1 = (4 +8.94427191 * i)  / -6

x2 =(4 -8.94427191 * i)  / -6

Remember that "i" is the square root of minus 1.

Step-by-step explanation:

Answer:

The possible values of the number of hours clearing tables are 2 , 3 , 4 , 5 hours

Step-by-step explanation:

* Lets explain how to solve the problem

- Madelyn is making $20 per hour life guarding

- She is making $12 per hour clearing tables

- She can work no more than 13 total hours

∴ The greatest time she can work is 13 hours (≤)

- She must earn no less than $180

∴ The least money she wants to earn is $180 (≥)

- If Madelyn worked 8 hours life guarding and assume that she

 worked x hours clearing tables

∵ She can work no more than 13 hours

∴ 8 + x ≤ 13

- Subtract 8 from both sides

∴ x ≤ 5 ⇒ (1)

∵ She must earn no less than $180

∴ 8 × 20 + x × 12 ≥ 180

∴ 160 + 12x ≥ 180

- Subtract 60 from both sides

∴ 12x ≥ 20 ⇒ (2)

- From equation (1) ⇒ x = 1 , 2 , 3 , 4 , 5

- Substitute x in equation (2) by these values to find the right values

 of x

# If x = 1

∴ 12(1) ≥ 20

- But 12 is less than 20

∴ x can not be 1

# x = 2

∴ 12(2) ≥ 20

∴ 24 ≥ 20

- 24 is greater than 20 then x can be 2

∵ 3 , 4 , 5 greater than 2

∴ All of them give answers greater than 20

∴ x can be 3 , 4, 5

∵ x represents the number of hours for clearing tables

∴ The possible values of the number of hours clearing tables are

   2 , 3 , 4 , 5 hours

Madelyn can work 2, 3, 4, or 5 hours clearing tables to meet her requirements. This ensures she earns at least $180 while working no more than 13 total hours. The calculations consider her earnings from both jobs and time constraints.

Let's determine the possible values for the number of hours Madelyn must work clearing tables to meet her requirements. We know the following:

First, calculate the earnings from lifeguarding:

Now, let x be the number of hours she works clearing tables. To meet the requirement of earning no less than $180, we set up the following inequality:

Subtract 160 from both sides:

Divide both sides by 12:

Which simplifies to:

Since x must be a whole number, the minimum value for x is 2. Now, considering the total hours she can work (no more than 13), calculate the maximum value for x:

This gives us:

Subtract 8 from both sides:

So, the possible values for the number of hours she could work clearing tables are:

Answer:

6

Step-by-step explanation:

Look at picture for help solving it.

Answer:

3n + 7 + n and 4n + 7

Step-by-step explanation:

Answer:

C. 3n+7+n and 4n+ 7

Step-by-step explanation:

hope this helps! edge2021!

Answer:

The length of one leg of the triangle is 22 units

Step-by-step explanation:

The complete question in the attached figure

Let

x ----> the length of one leg of the triangle

we know that

In the right isosceles triangle of the figure

The cosine of angle of 45 degrees is equal to the adjacent side to angle of 45 degrees divided by the hypotenuse

[tex]cos(45\°)=\frac{x}{22\sqrt{2}}[/tex] ---> equation A

[tex]cos(45\°)=\frac{\sqrt{2}}{2}[/tex] ----> equation B

equate equation A and equation B and solve for x

[tex]\frac{x}{22\sqrt{2}}=\frac{\sqrt{2}}{2}[/tex]

[tex]x=\frac{\sqrt{2}}{2}(22\sqrt{2})=22\ units[/tex]

therefore

The length of one leg of the triangle is 22 units

Answer:

I know only answer for the first one

18 paper clips

Step-by-step explanation:

56 paperclips originally - x paperclips = 38 paperclips

56 - x = 38

   + x    + x

56      = 38 + x

- 38       - 38

18       =         x  

x = 18

Answer:

C.-75

Step-by-step explanation:

15=-x/5

(15)*(5)=-x

75=-x

x=(-1)*75=-75

Answer:

C

Step-by-step explanation:

The absolute value always returns a positive value, that is

| - a | = | a | = a, thus

| 3 [tex]\frac{1}{2}[/tex] | = 3 [tex]\frac{1}{2}[/tex] → C

Answer:

Step-by-step explanation:

[tex]6+4\cdot(2+3)^2[/tex]

Use PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

[tex]6+4\cdot(2+3)^2\\\\=6+4\cdot(5)^2\\\\=6+4\cdot25\\\\=6+100\\\\=106[/tex]

Answer:

130°

Step-by-step explanation:

[2x] + [5x + 5] = 180

7x + 5 = 180

- 5 - 5

_____________

7x = 175

__ ____

7 7

x = 25

[tex]5(25) + 5 = 125 + 5 = 130[/tex]

I am joyous to assist you anytime.

Answer:

19

Steps:

1 - 7 + [tex]5^2[/tex]

-6 + [tex]5^2[/tex]

-6 + 25

19

Answer:

120

because they got 50 for 8.75 and if you add 1.50 until you get to 19.25 you would get 120