Mathematics High School

4x + 20y = -180
Put the following equation of a line into slope intercept form, simplifying fractions

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{5}[/tex] x - 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

4x + 20y = - 180 ( subtract 4x from both sides )

20y = - 4x - 180 ( divide all terms by 20 )

y = [tex]\frac{-4}{20}[/tex] - [tex]\frac{180}{20}[/tex] , that is

y = - [tex]\frac{1}{5}[/tex] x - 9 ← in slope- intercept form

Related Questions

Jada is making lemonade for a get-together with her friends. She expects a total of 5 to 8 people to be there (including herself). She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let represent the number of people at the get-together, the number of cups of water, the number of scoops of lemonade powder. Select all the mathematical statements that represent the quantities and constraints in the situation.

Answers

Answer: B,C,D,F

Step-by-step explanation:

All the correct mathematical statements that represent the quantities and constraints in the given situation are;

Option B; 5 ≤ n ≤ 8

Option C; c = 2n

Option D; l = c

Option F; 10 ≤ l ≤ 16

We are told that;

n = the number of people

c = the number of cups

l = the number of scoops of lemonade powder.

We are told that number of people is a total of between 5 to 8 people. Thus, the inequality to represent this is; 5 ≤ n ≤ 8

We are told that she wants to prepare 2 cups of lemonade for each person. This means when n = 1, c = 2 ; when n = 2, c = 4. Thus, this can be expressed as; c = 2n

We are told that the lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. That means 4 lemonade powder scoops = 4 cups. This can be expressed as; 4l = 4c. This can be simplified to; l = c

Since she is expecting between 5 to 8 people including herself. 2 lemonade scoops per person means;

        the least amount of lemonade = 5 × 2 = 10

        the maximum lemonade = 8 × 2 = 16

        This can be written in inequality form as;

         10 ≤ l ≤ 16

The only options that correspond with all the inequalities gotten above are; Options B, C, D, F.

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A whale can stay under water for 5,399 seconds. The Guinness world record holder held his breath under water for 1,443 seconds. How much longer can the whale remain under water than the human? *

Answers

Answer:I got 3956 seconds, hope it helps.

Step-by-step explanation:

-2(6+s) Greater than or equal to -15 - 2s
A. No solution
B. All real numbers
C. s is greater than or equal to 5
D. s is greater than or equal to negative 12

Answers

Answer:

I'm leaning mostly towards C Because there is a solution, None of them are real numbers and if they were, S would = 5 Especially positive S

~ Zachary

What is x equal to? And what is the scale factor?

Answers

Answer:

1. 225 km

2. 95 km

3. 412.5 km

Step-by-step explanation:

For this one, it is saying that for every 2 cm, that is 50 km. So if you look at 9 cm, you can divide that by 2 cm to get 4.5 cm, this is what you can multiply by 50 km to get 225. Or you can look at it this way, for every 1 cm, the actual distance is 25 km. Then you can multiply each value by 25 to get your answer. Whichever one works for you.

For each expression, x = 9 and y = 3.

2x · 4y - 10

a. 12
b. 10
c. 20
d. 6

Answers

Answer

the answer is C. 20 :)

Step-by-step explanation:

hope it helps!

20 x (-124) x 5 find the value

Answers

Answer:

-2480

Step-by-step explanation:

multiplying a positive and a negative equals a negative. -20 (20x124)

multiply the numbers and -2480 is the answer

What is the decimal equivalent of 8/3

Answers

Answer:

2.6666666666666. . . (2.67 rounded to the nearest hundredth)

Step-by-step explanation:

(Sorry if I am wrong. Please don't get mad at me)

Hope I helped :)

*sniff sniff* pooh bear honey got stollen he had 1,567 gallons of honey and they took 760 HOW MUCH DOES POOH BEAR HAVE NOW

Answers

Answer:

806 gallons

Step-by-step explanation:

1567 - 760= 806 gallons


Consider the equation x = 5. Which statement is TRUE ?

Answers

Where is x because I don’t see none

What is the nature of the roots for y=2x2-5?

Answers

Answer:

x=[tex]\sqrt5/2[/tex] , x = -[tex]\sqrt5/2\\[/tex]

Step-by-step explanation:

2x^2-5=0

add 5 to both sides

2x^2-5+5=0+5

2x^2=5

(2x^2/2) = 5/2

x^2=5/2

x=[tex]\sqrt5/2\\[/tex] , x = -[tex]\sqrt5/2[/tex]

To determine the nature of the roots of the quadratic equation y [tex]= 2x^2 - 5[/tex], we can analyze its discriminant (denoted by Δ).

The discriminant is calculated using the formula Δ [tex]= b^2 - 4ac,[/tex] where a, b, and c represent the coefficients of the quadratic equation in the standard form [tex]ax^2 + bx + c = 0.[/tex] For the given equation, a [tex]= 2,[/tex] b [tex]= 0,[/tex]and c [tex]= -5.[/tex]Plugging these values into the discriminant formula, we have: Δ [tex]= 0^2 - 4(2)(-5) Δ = 0 + 40 Δ = 40[/tex]The discriminant is positive, indicating two distinct real roots.

Since the discriminant is greater than zero, we can conclude that the roots of the equation are real and different. Therefore, the nature of the roots for y[tex]= 2x^2 - 5 i[/tex]s that it has two distinct real roots.

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Which point on the graph represents the y-intercept?
O V
O W
O Y
O Z

Answers

W because it is where it crosses the y axis

How to convert 9 yards into feet

Answers

There are 3 feet in a yard. So to find how many feet are in 9 yards, all you have to do is multiply 9x3 which is 27.

Hope this helped :)

Answer:

Step-by-step explanation:

1 yard= 3 feet

9 multiplied by 3 equals 27

9 yards= 27 feet

Help please fast!!!!
1.
The factored form of a quadratic function is f(x)=(x-p)(x-q).The standard form of a quadratic function is fX)=ax^2+bx+c. The factored
form for a quadratic function tells us the x-intercepts of the quadratic function, while the standard form for a quadratic function tells us they
intercept of the quadratic function.
If p=2 and q=-3, use what you have learned about multiplying polynomials to
1) write the factored form of the quadratic function f(x)
2) write the standard form for the quadratic function f(x)

Answers

Answer:

(1) f(x)=(x-2)(x-3)

(2) f(x)=x²-5x+6

Step-by-step explanation:

(1) f(x)=(x-p)(x-q)

   f(x)=(x-2)(x-3)

(2) f(x)=x²-3x-2x+6

    f(x)=x²-5x+6

find the measure of angle CFG

Answers

Answer:

7°

Step-by-step explanation:

Step 1:

x + 1 = 5x - 23        Alternate Interior ∠'s

Step 2:

1 = 4x - 23      Subtract x on both sides

Step 3:

24 = 4x     Add 23 on both sides

Step 4:

x = 24 ÷ 4     Divide

Step 5:

x = 6°

Step 6:

5 ( 6 ) - 23    Input x

Step 7:

30 - 23     Subtract

Answer:

∠CFG = 7°

Hope This Helps :)

What is the value of x?

Can someone tell me the answer I’ll give brainlist and points if you get it right

Answers

boi pretty sure the answer is 6

e is 5 more than d.
f is 7 less than d.
Work out
e-f
Simplify your answer.

Answers

Answer:

12+2d

Step-by-step explanation:

e=5+d

f=d-7

e-f = 5+d-(d-7)

e-f = 12+2d

The solution of expression e - f is,

⇒ e - f = 12 + 2d

We have to given that,

e is 5 more than d.

And, f is 7 less than d.

Hence, It can be written as,

e is 5 more than d.

⇒ e = 5 + d

And, f is 7 less than d.

⇒ f = d - 7

So, We get;

e - f = (5 + d) - (d - 7)

Combine like terms,

e - f = 12 + 2d

Therefore, The solution of expression e - f is,

⇒ e - f = 12 + 2d

Learn more about the mathematical expression visit:

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Solve the inequality:
2x – 3 < x + 2 < 3x + 5
Show your work.

Answers

Answer:

x+2/3

Step-by-step explanation:

Hope this helps!

Step-by-step explanation:

2x−3<x+2≤3x+5

Solve 2x−3<x+2 for x.

x<5

Solve x+2≤3x+5 for x.

x≥−32

Find the intersection of x<5 and x≥−32.

−3/2≤x<5

Hope this helps! :) Plz mark as brainliest

Given f(x) = 3x^2 - 6x + 2 find f(3)

HELP PLEASE ‼️‼️‼️

Answers

Answer: 47

Step-by-step explanation:

You simplify it giving you 47

Answer:

f(3)=11

Step-by-step explanation:

3(3)^2=27

-6(3)=-18

27-18+2=11

How would you plot (-9, 2)? Please include where you start and which direction do you move next and how much.

Answers

You would go on the x line and find where the negative numbers are first (since there is a NEGATIVE 9). The left side is the negative side. From there, you find number 9 (but don’t plot anything get, just remember where it is). Then you go up 2 (so find where the 2 is in y and go up that many). You don’t directly go over to the Y line.

You go left 9 and up 2. You then plot your point at that coordinate.

Help me out please and thank you

Answers

Answer:

the solution for x is -5.

Step-by-step explanation:

more of the quest pls....and more important is the brainliest

help me please with this

Answers

Answer:

a

Step-by-step explanation:

Solving the inequality

[tex]\frac{x+3}{6}[/tex] > [tex]\frac{x}{4}[/tex] + 1

Multiply through by 12 ( the LCM of 6 and 4 ) to clear the fractions

2(x + 3) > 3x + 12

2x + 6 > 3x + 12 ( subtract 2x from both sides )

6 > x + 12 ( subtract 12 from both sides )

- 6 > x , that is

x < - 6

The only value less than - 6 is - 10

Thus x = - 10 is a solution to the inequality

Your answer is X = -10 I believe

find m right answers only pls thx :D

Answers

Answer:   angle AOB = 40 degrees

====================================================

Explanation:

The smaller angles AOB and BOC combine to the largest angle AOC

By the angle addition postulate, we can say,

(angleAOB) + (angleBOC) = (angleAOC)

(3x+4) + (8x-28) = 108

11x-24 = 108

11x = 108+24 .... adding 24 to both sides

11x = 132

x = 132/11 .... dividing both sides by 11

x = 12

We can use this x value to find each angle

angle AOB = 3x+4 = 3*12+4 = 40 degrees

angle BOC = 8x-28 = 8*12-28 = 68 degrees

As a check,

(angleAOB)+(angleBOC) = (40)+(68) = 108

which matches with the measure of angle AOC. This confirms our answers.

Answer:

[tex]AOB = 40[/tex]

Step-by-step explanation:

[tex]AOC = 108 \\

AOB = 3x + 4 \\

BOC = 8x - 28 \\ but \: AOB +BOC =AOC \\ 3x + 4 + 8x - 28 = 108\\ 11x = 132 \\ x = 12\\ AOB = 3x + 4 = 3(12) + 4 \\ AOB = 40[/tex]

Solve the equation and enter the value of x below.
X-(-8) = -13
X =

Answers

X=-21. Hope this helps

Answer:

Step-by-step explanation:

X-(-8) = -13

x+8=-13

x=-13-8

x=-21

I don’t understand!!!!!!!!!!

Answers

I believe the answer is that none of the solutions. Due to when plugging in all the number it seems that it’s not correct. Double check my work though.. I don’t want u to get it wrong and have it be my fault..

Are similar and congruent the same? please explain your answer

Answers

Answer:

Congruence essentially means that two figures or objects are of the same shape and size. Similarity means that two figures or objects are of the same shape, though usually not of the same size.

Step-by-step explanation:

Pls help i will mark brainliest if you get it correct♡︎シ

Answers

Answer:

its the first one. hope this helps

Answer: the first one {-3,-1,0,1,5}

Domain is x

If the circumference of the circle was 44 feet, what was the diameter of the circle?

Answers

Answer:

Diameter = 14 feet

Step-by-step explanation:

Refer to image

Find the slope of the line that passes through the points (-7,-5) and (4, -3).

Answers

Answer:

y = (-2/9)x

Step-by-step explanation:

Rise over run so between (-7,-5) and (4,-3) it goes up -2 and over 9 so -2/9. Put this next to x and boom you have the slope equation.

I need help this this maths

Answers

Answer:

Step-by-step explanation: I would say the ones with Y= goes into functions and the “X” goes into not function (this is an guess that is half way right)

find area of circle ​

Answers

Answer:

should be 314.16 possible that is incorrect because I calculated it by pie and not by 3.

Answer:

A = 314 cm^2

Step-by-step explanation:

A = pi x r^2

A = 3.14 x (10 x 10)

A = 3.14 x 100

A = 314 cm^2

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