Please answer need help

Please Answer Need Help

Answers

Answer 1

Answer:

\(-20\frac{3}{4}, -15\frac{1}{2},- 14\frac{3}{4} , -\frac{1}{4}\)

Step-by-step explanation:

Negative number values work the opposite way positive number values work. For example, 15 is less than 20 but -20 is less than -15.

If we order the numbers in that way, we get \(-20\frac{3}{4}, -15\frac{1}{2},- 14\frac{3}{4} , -\frac{1}{4}\)


Related Questions

Find the surface area of the triangular prism.

Find the surface area of the triangular prism.
Find the surface area of the triangular prism.

Answers

Answer:

Step-by-step explanation:

Surface area formula

= bh + L(s1,s2,s3)

= 5(12) + 2(12+13 +5)

= 120

Therefore the surface are is 120cm

Answer:

The surface area is:

\(120 {cm}^{2} \)

Step-by-step explanation:

There are two triangles, and three rectangles in this prism. The area of a triangle is:

\( \frac{1}{2} base \times height\)

and the area of a rectangle is:

\(length \times width\)

Therefore the area of the triangle is:

\( \frac{1}{2} (5) \times 12 \\ 2.5 \times 12 = 30 \\ 30 \times 2 = 60\)

This value is multiplied by 2 because there are 2 triangles.

The area of the slanted rectangle is (13 x 2 = 26), the area of the standing rectangle is (12 x 2 = 24), and the area of the base rectangle is (5 x 2 = 10).

Therefore the surface area of the triangular prism is; 60 + 26 + 24 + 10 =

\(120 {cm}^{2} \)

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared deals from Speedy Clean Carwash and Sudsy Bubbles Carwash to decide which membership to get. Robin arranged the information in the tables below.
How many times will Robin need to wash her car to spend the same amount at both carwashes?
P.S.: I attached the table below:)

Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared

Answers

Robin will need to wash her car 4 times to have spent the same amount at both car washes. I hope this helps!
Robin wants to buy a membership at a carwash this summer so that she can keep her car clean. She compared
It will be 35 dollars

find the area and circumference of each circle. Use pi in your answer (example: radius = 8, or diameter = 14).

Answers

Answer:

Solutions below.

Step-by-step explanation:

First, we have to define each of the formulas first.

Area of Circle =

\(\pi {r}^{2} \)

Circumference of Circle =

\(2\pi \: r\)

With the above formula above, we can find the Area and Circumference for each circle.

Circle A:

Radius = 8

Area =

\(\pi {(8)}^{2} = 64\pi {units}^{2} \)

Circumference =

\(2\pi(8) = 16\pi \: units\)

Circle B:

Diameter = 14 units

Radius = 14 ÷ 2 = 7 units

Area =

\(\pi {(7)}^{2} = 49\pi {units}^{2} \)

Circumference =

\(2\pi(7) = 14\pi \: units\)

Area: 201.06
Circumference: 50.26
Area: 153.93
Circumference: 43.98

HELP PLEASE????????????????????

HELP PLEASE????????????????????

Answers

Answer:

20x - 8

Step-by-step explanation:

Since we have the length and height of the rectangle we just multiply each by 2. This is because the length is the same on both sides and the height is too. The equation would look like this:

(5x-4 + 5x -4) + (5x +5x) = 10x -8 + 10 x = 20x -8

20x-8 for sure I’m pretty sure

Could anyone help me with this problem, Quickly Please...

Could anyone help me with this problem, Quickly Please...

Answers

Answer:

3/4

Step-by-step explanation:

Since (p, r) lies on the line y = x + b,

we have,

r = p + b -----eq(1)

Since (2p, 5r) lies on the line y = 2x + b,

we have,

5r = 2(2p) + b -----eq(2)

Sub the value of r from eq(1) in eq(2),

5(p + b) = 4p + b

⇒ 5p + 5b = 4p + b

⇒ 5b - b = 4p - 5p

⇒ 4b = -p

⇒ b = -p/4

sub in eq(1)

r = p + (-p/4)

= p - p/4

= 3p/4

⇒ r = 3p/4

⇒ r/p = 3/4

Answer:

3/4

Step-by-step explanation:

We have two lines:

r = p + b     eq(1)

5r = 4p + b   eq(2)

eq(2) - eq(1)

4r = 3p

dividing by 4p

r/p = 3/4

IN YOUR OWN WORDS How can you use function notation to represent a function? How are standard notation and function notation similar?

Standard Notation:
y = 2x + 5

Function Notation:
f ( x ) = 2x + 5

Please help, due tomorrow

Answers

Answer:

Step-by-step explanation:

N^2-10n+9

The function notation to represent a function is f(x) and standard notation and function notation are similar because  y = f ( x).

What is function notation?

Function notation is a way in which a function can be represented using symbols and signs. Function notation is a simpler method of describing a function without a lengthy written explanation. The most frequently used function notation is f(x) which is read as “f” of “x”. In this case, the letter x, placed within the parentheses and the entire symbol f(x), stand for the domain set and range set respectively.

What is domain?

The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.

According to the question

Standard Notation:

y = 2x + 5

Function Notation:

f ( x ) = 2x + 5

Function notation can be used to represent the function as it represent function using symbols and signs .

An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”;

that is, y = f ( x).

This last expression is read as “ y equals f of x” and means that y is a function of x.

Standard notation and function notation  are similar because

An equation involving x and y, which is also a function, can be written in the form y = “some expression involving x”;

that is, y = f ( x).

Hence, function notation to represent a function is f(x) and standard notation and function notation are similar because  y = f ( x).

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There are 94 people signed up to run at a marathon. After the finish line there will be tables that can seat 6 people. How many tables are needed for all the runners?

Answers

Answer:

16

Step-by-step explanation:

You will need to divide 94 by 6 and that will give you 15.6, but you can't have .6 of a table, so you would need 16 tables. Hope this helps!

(I sincerely apologize if I'm wrong)

Answer:

16

Step-by-step explanation:

94/6 = 15.6

15.6 rounded is 16

Can anybody give me an easy way to use prime factorization plssss

Answers

Answer: Step 1: Divide the given number by the smallest prime number. ...

Step 2: Again, divide the quotient by the smallest prime number.

Step 3: Repeat the process, until the quotient becomes 1.

Step 4: Finally, multiply all the prime factors.

Step-by-step explanation:

You can use the ladder method. Such as if you were trying to find the Prime Factorization of the number 105, it would be…3 x 5 x 7.
Can anybody give me an easy way to use prime factorization plssss

Show your work to prove that the inverse of f(x) is g(x).
f(x)= x+10
-------
2
g(x)=6x-5

Answers

Answer: The inverse of f(x) is not g(x).

Step-by-step explanation:

Steps taken:

Swap x and y variablesSolve for yProve that the equations of f'(x) and g(x) are identical.

1.

\(f(x) = x + 10\\y = x + 10\\x = y + 10\)

2.

\(x = y + 10\\y = x - 10\)

The inverse of f(x) is x - 10, which does not match with g(x).

QUESTION 8 PART B C AND D, PLEASE DO ALL OF THEM I WILL MARK BRAINIST!!!

QUESTION 8 PART B C AND D, PLEASE DO ALL OF THEM I WILL MARK BRAINIST!!!
QUESTION 8 PART B C AND D, PLEASE DO ALL OF THEM I WILL MARK BRAINIST!!!
QUESTION 8 PART B C AND D, PLEASE DO ALL OF THEM I WILL MARK BRAINIST!!!
QUESTION 8 PART B C AND D, PLEASE DO ALL OF THEM I WILL MARK BRAINIST!!!

Answers

Answer:

223

Step-by-step explanation:

1: (-2,7)
2: (1,0)
3: her elevation was 3 because that's the y value on the graph
4: her elevation decreased because the line on the graph has a negative y slope as x gets larger

Your portfolio must include a minimum of the following five types of equations and solutions:

Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!

This is a total of 7 equations and solutions.

Answers

Answer:

Step-by-step explanation:

A. x + 5=12

7x = 21

B. b - 2/3 = 5/6

1/5m = 20

C. 45 = 3(x + 1)

D. 22.5 = 1.5x

E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.

certainly use these examples to practice solving equations yourself! Here are some equations that meet the criteria you provided:

1) One-step equation:
5x + 3 = 18
Solution:
Subtract 3 from both sides to isolate the variable:
5x + 3 - 3 = 18 - 3
5x = 15
Divide both sides by 5 to solve for x:
5x/5 = 15/5
x = 3

2) One-step equation:
4y - 7 = 9
Solution:
Add 7 to both sides to isolate the variable:
4y - 7 + 7 = 9 + 7
4y = 16
Divide both sides by 4 to solve for y:
4y/4 = 16/4
y = 4

3) Equation with fractions:
2/3 x + 1/4 = 1/2
Solution:
Subtract 1/4 from both sides to isolate the variable:
2/3 x + 1/4 - 1/4 = 1/2 - 1/4
2/3 x = 1/4
Multiply both sides by 3/2 to solve for x:
(2/3 x) * (3/2) = (1/4) * (3/2)
x = 3/8

4) Equation with fractions:
3/4 z - 1/2 = 1/8
Solution:
Add 1/2 to both sides to isolate the variable:
3/4 z - 1/2 + 1/2 = 1/8 + 1/2
3/4 z = 5/8
Multiply both sides by 4/3 to solve for z:
(3/4 z) * (4/3) = (5/8) * (4/3)
z = 5/6

5) Equation with distributive property:
2(x + 5) = 16
Solution:
Use the distributive property to simplify the left side of the equation:
2(x + 5) = 2x + 10
Subtract 10 from both sides to isolate the variable:
2x + 10 - 10 = 16 - 10
2x = 6
Divide both sides by 2 to solve for x:
2x/2 = 6/2
x = 3

6) Equation with decimals:
0.5x + 1.25 = 2.75
Solution:
Subtract 1.25 from both sides to isolate the variable:
0.5x + 1.25 - 1.25 = 2.75 - 1.25
0.5x = 1.5
Divide both sides by 0.5 to solve for x:
0.5x/0.5 = 1.5/0.5
x = 3

7) Real-world problem:
You have $50 to spend on tickets to a concert that costs $10 per ticket. How many tickets can you buy?
Solution:
Let x be the number of tickets you can buy. The total cost of the tickets is 10x. We know that the total cost


Does this answer your question?

Find the volume of the following figure using unit cubes.

None of the above.
23 units3
27 units3
25 units3

Find the volume of the following figure using unit cubes.None of the above.23 units327 units325 units3

Answers

Answer: 27

Explanation:

Length * Width * Height = Volume

3 * 3 * 3 = 9 * 3 = 27

Volume = 27 units
It’s correct it’s 27 units3

Need help! Please answer asap

Need help! Please answer asap

Answers

Answer:

The NMTAndP are all the same

hhelp
(ill mark brainliest if correct!)

hhelp(ill mark brainliest if correct!)

Answers

The answer is B -2/5 =-0.4

Have a nice day

Answer: Answer B is correct

Step-by-step explanation:

if u put in -2/5 in a calculator and change it to decimal form it equals -0.4

Express the missing divisor using a power of 10. Explain your reasoning using a place value model. 7,650 ÷ ___ = 7.65 *

Answers

Answer:

7,650 ÷ ___ = 7.65  It's 1,000

Step-by-step explanation:

Hope it's right :)

Answer:

b: 7,650 / 1000 = .7.65 this is because the decimal jumps 3 spots to the left

The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms of rice.



Function `r` gives the remaining amount of rice, in kilograms, as a function of the number of weeks since the restaurant owner bought the rice.



Solve the equation `r(w)=30`and explain what the solution means in this situation.

The owner of a small restaurant bought 75 kilograms of rice. Each week, the restaurant uses 4.5 kilograms

Answers

Answer:

r(t) = 75 kg - (4.5 kg/wk)w

Step-by-step explanation:

Let r(t) represent the amount of rice remaining after w weeks.

Then:

r(t) = 75 kg - (4.5 kg/wk)w

please mark as brainliest

Answer:

w=10 and this means that 10 weeks after the rice was bought, 30 kilograms of rice remain.

Step-by-step explanation:

r(w)=75-4.5w is an equation for this function so I'll be using this. First insert r(w)= 30 into the equation.

75-4.5w=30

75-75-4.5w=30-75

-4.5w=-45

-4.5w/-4.5 = -45/ -4.5

w=10

Apologies if the explanation isn't thorough, I'll glady provide more details if necessary.

Please help me I don’t understand I will make you the brainliest if you show your work!

Please help me I dont understand I will make you the brainliest if you show your work!

Answers

Answer:

The solution to the equation (1/2)c - 8 = 4 is c = 24.

Step-by-step explanation:

To solve the equation:

(1/2)c - 8 = 4

We want to isolate the variable c on one side of the equation, so we need to perform inverse operations to both sides of the equation to simplify it.

First, we add 8 to both sides of the equation:

(1/2)c - 8 + 8 = 4 + 8

Simplifying the left side by canceling out -8 and +8:

(1/2)c = 12

Next, we multiply both sides of the equation by 2 to eliminate the fraction:

2 × (1/2)c = 2 × 12

Simplifying the left side by canceling out 2 and 1/2:

c = 24

Therefore, the solution to the equation (1/2)c - 8 = 4 is c = 24.

12 - 8 = 4 and 1/2 of 12 is 6 so the answer is 8.

Find the inequality represented by the graph. Thanks!

(plz no spam...)

Find the inequality represented by the graph. Thanks!(plz no spam...)

Answers

Answer:

y > (1/3)x - 3.

Step-by-step explanation:

The graph of a line can be written in y = mx + b form where b is the y-intercept and m is the slope.

In the image, the slope of the graph from the given points is 1/3.

In the image, the y-intercept is -3.

Therefore, the line is y = (1/3)x -3. However, we aren’t done yet! This is an inequality, not an equation!

We see the line isn’t dotted, so that means it must be > or <.

We substitute the point (0,0) into the line equation we got and find that 0 > (1/3)(0) - 3 = -3. Since (0,0) is part of the inequality, we have that y > (1/3)x - 3.

I hope this helps! :)

Answer:

y > (1/3)x - 3.

Step-by-step explanation:

Find the measure of ∠YOZ by answering the questions.
1. Find the measure of ∠WOV. Which angle relationship did you use? (3 points)
2. Now find the measure of ∠YOZ. Which angle relationship did you use? (3 points)
3. Check your answer by using another strategy to find the measure of ∠YOZ. Describe your strategy, and show that it gives the same measure for ∠YOZ. (4 points)

Answers

Answer:1. The measure of ∠WOV is 60°. You would use complementary angles that are adjacent (∠WOV, and ∠XOW)

2. The measure of ∠YOZ is 60°. You would use the vertical angles that are non-adjacent (∠WOV, and ∠YOZ). These two angles are congruent so they would have the same measure. These angles combined also create supplementary angles

3. Another way to find the measure of ∠YOZ would be to make/write an equation and solve for x. For example, (3x+30)°=60°. x would equal 10 because 10x3=30+30=60°

Step-by-step explanation:

1. Since a complementary angle would equal 90°, simply subtract 30° from 90° resulting in 60°.

2. Because vertical angles are congruent and (∠WOV, and ∠YOZ) are a pair of them, they equal the same as each other so they're both 60°.

3. You can make any equation with x included as long as it equals 60° mine was just an example you can make your own like 10x+10=60 or 4x+20=60. Also to create your equation you also need to use the angle fact of the vertical angles

How do you find the area and perimeter of a trapezoid?

How do you find the area and perimeter of a trapezoid?

Answers

The area of a trapezoid, A, equals h, the height of the trapezoid, times the length of base one plus the length of base two divided by two.
The perimeter of a trapezoid, P, equals the measure of base one plus the measure of base two plus the measure of leg one plus the measure of leg two
That is as simple as i can make it lol. i hope it helps some

Answer:

Area of a trapezoid = \(\frac{b_{1} +b_{2} }{2} h\)

Perimeter of a trapezoid = All of the sides added together

In this case:

Area: 32.5 m²

Perimeter: 26 m

Step-by-step explanation:

The area of a trapezoid is base 1 + base 2 divided by 2, and then multiplied by the height.

The perimeter of all shapes is all of the sides added together.

Hope it helps!

How would you graph the result of -3 + 5 as a point on the number line?

eight places to the right of zero
eight places to the left of zero
two places to the right of zero
two places to the left of zero

Answers

Answer:

Two places to the right of zero

Step-by-step explanation:

Answer:

2 places to the right

Explanation:

-3 + 5 = 2

A rectangular prism has a length of 114 yards, a width of 212 yards, and a height of 4 yards.

What is the volume.

Answers

Answer:

96, 672 yards

Step-by-step explanation:

Volume = Length · width · height

Volume = 114 · 212 · 4

Volume = 96, 672 yards

Each line represents a proportional relationship. Write an equation for each line Show your work.

Each line represents a proportional relationship. Write an equation for each line Show your work.

Answers

Answer:

4,3 and 1,4

Step-by-step explanation:

4,3-1,4 I believe....

ILL GIVE BRAINLIEST HELP WITH ALGEBRA
Simplify the expression
(x+y)⁵ ÷ (x+y)²

Answers

It’s (x+y)^3. Also said as (x+y) to the third power. Hope this helped!

I WILL MARK AS BRAINLIEST! Solve for X

I WILL MARK AS BRAINLIEST! Solve for X

Answers

a) x=42

b) x=1.777777

c) x=60

Step-by-step explanation:

it will get cross multiplied and then simply

I WILL MARK AS BRAINLIEST! Solve for X

Select all the expressions that are equivalent to 16x + 36.
a 16(x + 20)
b. x(16+36)
C. 4(4x + 9)
d. 2(8x + 18)
e. 2(8x + 36)

Answers

Answer:

2(8x + 18) and 4(4x + 9)

Step-by-step explanation:

16 and 36 are both evenly divisible by 2 and 4.  Thus, possible equivalents of 16x + 36 are 2(8x + 18) and 4(4x + 9).

Expressions equivalent to 16x + 36 are 4(4x+9) and 2(8x + 18).

What is an expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.

Given expression

16x + 36

= 4.4x + 4.9

16x + 36 = 4(4x+9)

= 2.2(4x + 9)

16x + 36 = 2(8x + 18)

Hence, 4(4x+9) and 2(8x + 18) are equivalent to 16x + 36.

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What are the new coordinates of triangle ABC where A (1, -1), B (2, -3), and C (3, -1) after a dilation from the origin with a scale factor of 3?

PLEASE I NEED HELP

Answers

Answer:

A' (3,-3) B' (6,-9) C' (9,-3)

Step-by-step explanation:

multiply each of the numbers by 3 (scale factor)

Help pls and don’t answer with a link that makes me get a virus please I’m not going through that again

Help pls and dont answer with a link that makes me get a virus please Im not going through that again

Answers

Answer:

1) 60%   2) 125%   3) 48   4) 4.05   5) 4,000   6) 2

Explanation:

I'm not really sure how to explain this to you, but I want you to know that I used a calculator to check my answers.

I hope you get great grades :)

The stem-and-leaf plot displays data collected on the size of 15 classes at two different schools.


Mountain View School Seaside School
0 5, 8
9, 8, 2, 0 1 0, 1, 2, 5, 6, 8
8, 7, 6, 5, 5, 4, 4, 3, 1, 0 2 5, 5, 7, 7, 8
0 3 0, 6
Key: 2 | 1 | 0 means 12 for Mountain View and 10 for Seaside


Part A: Calculate the measures of center. Show all work. (2 points)

Part B: Calculate the measures of variability. Show all work. (1 point)

Part C: If you are interested in a smaller class size, which school is a better choice for you? Explain your reasoning. (1 point)

Answers

To calculate the measures of center, we need to find the mean and median for each school.

For Mountain View School:
Data: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 0 + 1 + 2 + 3 + 4 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 8 + 8 + 8 + 9) / 19
= 100 / 19
≈ 5.26

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 0, 1, 2, 3, 4, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

For Seaside School:
Data: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9
Mean: (0 + 0 + 0 + 1 + 1 + 2 + 2 + 4 + 5 + 5 + 5 + 5 + 6 + 7 + 7 + 8 + 8 + 8 + 9) / 19
= 80 / 19
≈ 4.21

To find the median, we need to arrange the data in ascending order: 0, 0, 0, 1, 1, 2, 2, 4, 5, 5, 5, 5, 6, 7, 7, 8, 8, 8, 9.
The median is the middle value, which is the 10th value in this case.
Median: 5

Now let's calculate the measures of variability, specifically the range and interquartile range (IQR).

Range: The range is the difference between the largest and smallest values in the dataset.

For Mountain View School:
Range: 9 - 0 = 9

For Seaside School:
Range: 9 - 0 = 9

Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1) and measures the spread of the middle 50% of the data.

For Mountain View School:
Q1 = 3
Q3 = 7
IQR = Q3 - Q1 = 7 - 3 = 4

For Seaside School:
Q1 = 2
Q3 = 7
IQR = Q3 - Q1 = 7 - 2 = 5

To determine which school is a better choice for a smaller class size, we can consider both the mean and the median.

Both the mean and median for Mountain View School are higher than those for Seaside School. This suggests that, on average, the class sizes at Mountain View School are larger than those at Seaside School. Therefore, if you are interested in a smaller class size, Seaside School would be a better choice
Part A:

For Mountain View School:
- Median: The median class size is the middle value, which is 25.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (29 + 28 + 28 + 27 + 25 + 24 + 24 + 23 + 21 + 20 + 19 + 18 + 15 + 13 + 10) / 15 = 21.27.

For Seaside School:
- Median: The median class size is the middle value, which is 20.
- Mean: The mean class size is the sum of all the class sizes divided by the total number of classes, which is (25 + 25 + 27 + 27 + 28 + 28 + 28 + 30 + 31 + 35 + 36 + 38 + 40 + 43 + 45) / 15 = 31.13.

Part B:

For Mountain View School:
- Range: The range is the difference between the largest and smallest values, which is 29 - 10 = 19.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 20 and Q3 is 28. Therefore, the IQR is 28 - 20 = 8.

For Seaside School:
- Range: The range is the difference between the largest and smallest values, which is 45 - 25 = 20.
- Interquartile Range (IQR): The IQR is the difference between the third quartile (Q3) and the first quartile (Q1). From the stem-and-leaf plot, we can see that Q1 is 27 and Q3 is 38. Therefore, the IQR is 38 - 27 = 11.

Part C:

If you are interested in a smaller class size, Mountain View School is a better choice for you because it has a lower mean and median class size than Seaside School.

please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!

Answers

The function for the points are  y = -15x - 5

How to determine the function

From the information given, we have that;

The points are;

(1/3,0) (-2 3/4,0) and (0,-5)

Using the point-slope form of a linear equation, we have;

y - y₁ = m(x - x₁)

Such that;

m is the slope of the liney - y₁ and (x - x₁) are the points

Using (1/3, 0) and (0, -5), we have that the slope is;

m = (0 - (-5))/0 -1/3)

expand the bracket

= 5 / (-1/3)

= -15

Now, take any of the given points and substitute the values

Using (1/3, 0), we get;

y - 0 = -15(x - 1/3).

y = -15x - 5.

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The function for the points solved by  (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)

We have given the points:

(1/3,0) (-2 3/4,0) and (0,-5)

Using the formula of linear equation

\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)                                                          

Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)

that is 1/3 = \(a\), 0 = \(a_{1}\) and

0 = \(b\), -5 = \(b_{1}\)

\(x\) refers to the slope of line (take any variable)

Now for finding the value of \(x\),

\(x=a-a_{1}/b-b_{1}\)

inserting the values,

\(x=[0-[-5]]/[0-1/3]\\x= -15\)

Substitute the value of \(x\) in the equation

\(a-0=-15[b-1/3]\)

By simplifying the equation, we get

\(a=-15b-5\)

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