I need help figuring out the input and output and I have been struggling with it so muchh!!

Prerequisites :-

1) The product of slope of two perpendicular lines is-1 .

2) The slope of two parallel lines is same .

Given two lines to us are ,

This line is in slope intercept form which is [tex] y = mx + c [/tex] . Comparing to which we get ,

Again , the second line given to us is ,

Convert it into slope intercept form , we have ,

[tex]\implies 3( x + 3y ) = 18 [/tex]

Divide both sides by 3 ,

[tex]\implies x + 3y = 6 [/tex]

Solve for y ,

[tex]\implies y = \dfrac{-x}{3} + 2 [/tex]

On comparing to the slope intercept form ,

And the product both the slopes is ,

[tex]\implies m_1 \times m_2 = \dfrac{-1}{3}\times 3 =\boxed{\red{-1}}[/tex]

Hence the given two lines are perpendicular .

Step-by-step explanation:

the slope of a line is the ratio y/x.

that means when going from one point to the other, how many units is y changing, when x changes a certain number of units.

so, going from one point to the other here, x changes by 30 units (from -12 to +18). and y changes 15 units (from -9 to 6).

therefore, the slope is

15/30 = 1/2

Answer:

1050

5.25/1.5 = 3.5

3.5x300 = 1050

9514 1404 393

Answer:

  136

Step-by-step explanation:

15 seconds is 1/4 minute. We can find the number of copies by multiplying the rate by time:

  (32 copies/min)(4.25 min) = 136 copies

The machine can make 136 copies in 4 minutes 15 seconds.

Answer:

Step-by-step explanation:

you only need to find the perimeter,

add the lengths of the rectangle's four sides

85+25+85+25=

220m

Answer:

f(5)=

[tex] = 4x - 5 \\ = 4 \times 5 - 5 \\ = 20 - 5 \\ = 15[/tex]

Answer:

3.16227766017 is the answer

Answer: 3.16227766017

Step-by-step explanation:

Or you could round and get 3.2 or 3.16

What formula are you using I'm using the one below so hopefully you're able to utilize this.

C = (F-32) ÷ 1.8

C = (56-32) ÷ 1.8

C = ( 24 ) ÷ 1.8

C = 13.3333333

Rounding one decimal place (tenths)

C = 13.3

Answer:

so I believe the question is just wanting you to do 5 times 2 1/2. I believe the answer would be 12 1/2. Your just adding 2 1/2, 5 times for each day she runs.

25/100 = x/65

100x = 1625

x = $16.25

$16.25 is her daily allowance

Answer:

The required length of AB is 7.28 units.

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

it have to D

Step-by-step explanation:

Answer:

356 ft

Step-by-step explanation:

give brainliest

Answer:

Way 1: Determine "what" plus 3 equals 12

Way 2: Regularly take away 3 from 12

Step-by-step explanation:

[1] Let's see if I am correct, shall we?

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

Subtract 3 from both sides giving you...

[tex]n=9[/tex]

--

[2] Let's see if I am correct, shall we?

[tex]12-3=n[/tex]

Take away 3 from 12 which gives you...

[tex]9=n[/tex]

Answer:

you mean the midpoint: (-1, 23)

Answer:

Step-by-step explanation:

Total in account after 5 years:

Total in account after 5 years:

The difference in totals:

After 5 years Jack will have $0.66 more money in his account than David.

This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.

Here, to find the amount of money after n years, we need to use the formula S = P(1 + r)ⁿ.

For David, S = sum of money after the total period of investment.

P = Principle = $350, r = rate of interest = 3% compounded annually, n = time period = 5 years.

Now, S = $350(1 + 3/100)⁵ = $350(1 + 0.03)⁵ = $350(1.03)⁵ = $405.75

Hence, after 5 years, David will have $405.75 in his bank account.

For Jack, S = sum of money after the total period of investment.

P = Principle = $350, r = rate of interest = 3% compounded quarterly, n = time period = 5 years.

Now, S = $350(1 + 3/ 4× 100)⁵ˣ⁴ = $350(1 + 0.0075)²⁰ = $350(1.0075)²⁰ = $406.41.

Hence, after 5 years, Jack will have $406.41 in his bank account.

Therefore, Jack will have $(406.41 - 405.75) = $0.66 more money than David.

Learn more about compound interest here: brainly.com/question/25857212

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Answer:

By the end of this resource, you will be able to identify domain and range from any given contextual situation.  

Determining the domain and range from a linear or quadratic contextual situation is similar to determining the independent and dependent variables.

Step-by-step explanation:

Suppose you are interviewing for a job. Your employer offers you the choice of two different options for your pay. The first option is to pay you $10.00 per hour and give you a raise of $.50 per hour at the end of the year. The second option is to pay you $11.50 per hour and give you a raise of $.25 per hour at the end of the year.

First, find a function for each option. To do that, you have to know what the domain and range might be. Let y = the amount you will make at the end of the year and x = the number of hours you work. Thinking about what would be reasonable values for x and y will help determine the domain and range.

First, let's think about the domain. Since x represents the numbers of hours you worked for the year, would it be reasonable to have negative values? If you said NO, you would be correct. We can assume the lowest possible value in the domain would equal zero. So, our domain would be {x| x ≥ 0}.

Now, let’s think about the range. Since y represents your earnings at the end of the year, would it be reasonable to have negative values? If you said NO again, you would be correct. You cannot earn a negative amount. We can assume the lowest possible value in the range would also equal zero. So, our range would be {y | y ≥ 0}. You should be able to relate with this situation since you may have to make a decision in comparing two or more job offers in your future.

It's important to realize that every situation is different and you must think about what is reasonable.  

Answer:

Step-by-step explanation:

h 12

Answer:

1< x <5

Step-by-step explanation:

1<3x−2<13

1+2<3x−2+2<13+2 (Add 2 to all parts)

3<3x<15

33<3x3<153 (Divide all parts by 3)

1< x <5

Answer:

(1,5)

Step-by-step explanation:

Answer:

60x^2 + 40x - 48xy - 32y

Step-by-step explanation:

Let's solve this using the FOIL (first, inner, outer, last) method.

(10x-8y) (6x+4)

= 10x × 6x + 10x × 4 - 8y × 6x - 8y × 4

= 60x^2 + 40x - 48xy - 32y

Answer: 60x^2 + 40x - 48xy - 32y

Soory for the wrong answer i re solved it :)

Answer:

180=34+4x+90

180=124+4x

4x=56

X=14

Answer:

146,021,066

Step-by-step explanation:

please give brainiest award.

Answer:

10 headbands = $12.50

Step-by-step explanation:

1) The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is: S = 1.25 * x. For each headband sold, you earn a commission of $1.25.

2) The point (5, 6.5) is not a solution for the function. When you sell 5 headbands, the commission earned should be $6.25, not $6.5.

3) A solution that does not appear in the table is (10, 12.50). Selling 10 headbands would result in a commission of $12.50.

1.

To complete the table, we can use the given information that for each headband sold, you earn a commission of $1.25.

Function Rule (Commission S): The function equation that represents the relationship between the number of headbands sold (x) and the commission earned (S) is:

S = 1.25 * x

Now, we can use this function to fill in the table:

Number of Headbands Sold (x) | Commission (S)

0 | 0 * 1.25 = $0 (No commission earned for 0 headbands sold)

1 | 1 * 1.25 = $1.25

2 | 2 * 1.25 = $2.50

3 | 3 * 1.25 = $3.75

7 | 7 * 1.25 = $8.75

15 | 15 * 1.25 = $18.75

32.50 | 32.50 * 1.25 = $40.625 (The value in the table seems to be a typo, it should be 32.50 * 1.25 = $40.625)

2.

To check if (5, 6.5) is a solution for the function, we need to see if the commission earned (S) matches with the given number of headbands sold (x) for that point.

Given (x, S) = (5, 6.5)

Using the function rule: S = 1.25 * x

S = 1.25 * 5 = 6.25

The commission earned (S) is $6.25, not $6.5. Therefore, (5, 6.5) is not a solution for the function as the value of S does not match.

3.

To identify a solution that does not appear in the table, we can select any number of headbands sold (x) and calculate the corresponding commission (S) using the function rule.

For example, let's choose x = 10:

Using the function rule: S = 1.25 * 10 = $12.50

So, a solution that does not appear in the table is (10, 12.50), where 10 headbands sold results in a $12.50 commission.

Learn more about Function Rule from the link given below.

https://brainly.com/question/10705186

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Answer:

28 / 4 = -7.v

Step-by-step explanation:

Answer:

The domain is the travel on the x-axis of the graph and the range is the travel on the y-axis of the graph.

Step-by-step explanation:

Answer:

6(10+4)

Step-by-step explanation:

Answer:

1. [tex]8x\sqrt{yz\\}[/tex]   2.[tex]8xy\sqrt{xz}[/tex]   3.[tex]4x^{2}yz\sqrt{y}[/tex]     4.[tex]7yz\sqrt{xz}[/tex]

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

7x + 3 = 8x + 1

2 = x

these are geometry problems.

The answer is 7.25

Step-by-step explanation:

You need to just subtract thr toher numbers to get a differrnce. Then add up all of the differences so that you get thr correct answer.