Given an inequality, what strategies can we use to determine where the boundary line is? Explain your strategies in detail.

4x+3y≥12

Answers

Answer 1

Answer:

The strategy is to find the x and y intercept of the given equation

Step-by-step explanation:

4x+3y≥12

In order to determine where the boundary line, we need to first get the x and y-intercept of the inequality expression given;

x-intercept occurs at where y = 0

when y  = 0

4x + 3(0)≥12

4x ≥12

x ≥12/4

x≥ 3

Also y intercept occurs at where x = 0

4x+3y≥12

4(0)+ 3y ≥12

3y≥12

y≥12/3

y≥4

Hence the intercept of the line is at (3, 4). A thick line will pass through this point and the upper part of the graph will be shaded. The strategy is to find the x and y intercept of the given equation


Related Questions

A) 9
B) 11
C) 34
D) 28

Answers

Answer:

I think the answer is 11 because 2x + 3x=5 and 1 + 10=11

Makers were placed at altitudes of 10 and 15 feet below sea level. Enter the integer that represents the altitude closer to sea level.

Answers

Answer:

The answer is 10

Step-by-step explanation:

What is 3/4 x 8? Can you please tell me fast?

Answers

Answer:

6

Step-by-step explanation:

Think of the equation as 3/4 x 8/1.  Multiply across to get 24/4 which can be simplified to the number 6.

Why you shouldn't worry about a credit score

Answers

Answer:Without a good credit score and history, the experts say, it's more difficult to qualify for a mortgage or car loan – and more expensive, too, because you won't get the best interest rates. In many states, bad credit can even raise your insurance premiums, cost you a rental apartment, or make it harder to get hired.

Step-by-step explanation:

If 20miles is 1/2 inches how and there is 3.125 inches how many miles

Answers

Answer:

3.125 inches would result in 122 miles.

Step-by-step explanation:

We can figure this out using proportions.

[tex] \frac{20 \: miles}{ \frac{1}{2} \: inches} = \frac{x}{3.125 \: inches} \\ \\ \frac{ \frac{1}{2}x }{ \frac{1}{2} } = \frac{62.5}{ \frac{1}{2} } \\ \\ x = 122[/tex]

122 miles would be the answer.

Answer:

125 miles

Step-by-step explanation:

[tex]\frac{20}{\frac{1}{2}}=\frac{x}{3.125}\\x=40 \times 3.125=125 \\x=125~miles[/tex]

The rectangular floor of a classroom is 36 feet in length and 24 feet in width. A scale drawing of the floor has a length of 12 inches. What is the perimeter, in inches, of the floor in the scale drawing?

Answers

Answer:

40 in

Step-by-step explanation:

36/12=3

24/3=8

12+12+8+8=40

The perimeter of the floor in the scale drawing is 40 inches.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

If the rectangular floor of the classroom has a length of 36 feet and a width of 24 feet, then the perimeter of the floor can be calculated as:

P = 2L + 2W

P = 2(36) + 2(24)

P = 72 + 48

P = 120 feet

We are given that the scale drawing of the floor has a length of 12 inches. This means that 12 inches on the scale drawing represent 36 feet in real life.

To find the perimeter in inches on the scale drawing, we can use the following proportion:

12 inches / 36 feet

= x inches / 120 feet

Simplifying this proportion, we get:

x = (12 inches / 36 feet) x 120 feet

x = 40 inches

Therefore,

The perimeter of the floor in the scale drawing is 40 inches.

Learn more about rectangles here:

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If contact lenses cost 80$ how much will they cost if they are with 10% off?

Answers

10% of 80 = 8

80 - 8 = 72

if they are 10% off, the contact lenses will cost $72

Cuanto es 15 más 15 multiplicado por 2

Answers

Answer:

60

Step-by-step explanation:

EASY 7TH GRADE MATH QUESTION FIRST PERSON MARKED BRAINLIEST!

Answers

Answer:

30.

Step-by-step explanation:

Examine the system of equations. y = 4x + 8, y = 4x – 1 Which statements best describe the two expressions? Check all that apply. They have different slopes. They have different y-intercepts. The substitution method results in the false statement, 8 = –1. The solution is (8, –1). There is no solution.

Answers

Answer:

The correct statements are as follows;

1. They have different y-intercepts

2. The substitution method results in false statement 8 = -1

3. There is no solution

Step-by-step explanation:

Here, we want to select the statement that best describes the equations

The equation for a straight line is generally;

y = mx + b

m is slope and b is the y-intercept

slope of both is same ; 4

So first assertion is wrong

they have different y-intercepts

First y-intercept is 8, second is -1

This is correct

The third statement is correct too

if we equated both y;

4x + 8 = 4x -1

We shall have 4x canceled out and left with 8 = -1

(8,-1) is not a solution

There is no solution is correct because after substituting, we have 8 = -1 which is not correct and also impossible

Answer:

B,C and E

Step-by-step explanation:

It is trust me

I will give brainliest if you will help me. Please help me with my Algebra work. I would really appreciate it.
Using the substitution method and showing all of your steps. Solve the following System of Equations. Make sure to write your answer as an order pair.
`y=6x\ -11`
`-2x-3y=-7`​

Answers

Answer:

Wassgoood

Step-by-step explanation:

Answer:

-2x-3(6x-11)=-7

-2x-18x+33=-7

-20x+33=-7

-20x=-40

x=2

y=6(2)-11

y=12-11

y=1

How do i solve 2x+4=8

Answers

answer : x = 2

step 1 : move the constant to the right hand side and change its sign

ex : 2x=8-4

step 2 : subtract the numbers

ex : 2x=4

step 3 : divide both sides of the equation by 2

ex : x=2

solution : x=2

hope this helps !

- audrey ♡

That is the answer. I hope it helps ❤❤❤

ann invested 9000 in an account that

Answers

what do you need to know ???!??
Are you gonna finish orrr

Tanya is at a fair and has $30 to spend on x number of rides and y number of games. Each ride is $2 and each game is $3. The equation 2x+3y=30 represents this scenario. If Tanya does not play any games, how many rides can she go on?

Answers

Answer:

15 rides

Step-by-step explanation:

From the above Question we know that if Tanya goes on a ride, the Algebraic expression = 2x

Where x = number of rides

If Tanya does not play any games, how many rides can she go on?

Note that: Tanya has $30 to spend

This question is solved:

2x = $30

x = $30/2

x = 15 rides

Hence, if Tanya does not play any games she can go on 15 rides

A plumber charges a flat fee of $50 plus an additional $20 per hour.

a) Write and equation in slope-intercept form to represent the total cost the plumber will charge

b) How much will it cost for the plumber to work for 4 hours

c) how many hours must the plumber work to obtain $180?

Answers

Answer:

a) cost = 50 + 20x, where x is the number of hours worked for.

plot cost on the y-axis and hours on the x-axis.

b) cost = 50 + 20 x 4 = $130

c) 180 = 50 + 20x

   130 = 20x

   6.5 = x

   additional charges increment every hour, so the plumber must work for 7 hours before they obtain $180.

Step-by-step explanation:

Dianes salary is $32,000 per year. Her car payments total $2,880 per year. What percentage is her salary

Answers

Answer:

9%

Step-by-step explanation:

Calculation for What percentage is her salary

Using this formula

Dianes salary percentage=Car payments per year/Salary per year

Let plug in the formula

Dianes salary percentage=$2,880 per year/$32,000 per year

Dianes salary percentage=0.09*100

Dianes salary percentage=9%

Therefore the percentage of her salary is 9%

Which expression is equivalent to the expression 22 – 10 – 7.5?

Answers

Answer:

24.5-9-6

Step-by-step explanation:

Answer:

Im not sure what u mean sry is there an = sign somewhere cuz that does not make sence

Step-by-step explanation:

Can y’all help me on this please

Answers

Answer:

588,499

Step-by-step explanation:

you just divide

help me please :) find m of angle bdg

Answers

Answer:

90°

Step-by-step explanation:

BG=AG

ΔABG is an  Isosceles.

D is the midpoint of AB.

DG⊥AB

So, m∠BDG=90°

I will mark brainliest!!!!!

Answers

Answer:

we need to c the triangle before we can answer btw

Step-by-step explanation:

Answer:

A' = (6, 1)

B' = (4, -1)

C' = (-6, 1)

Step-by-step explanation:

Use the rule 90° Clockwise: (x, y) ⇒ (y, -x).

I hope I helped and have a great day! ^-^

There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
(show your work)

Answers

Answer:

21

Step-by-step explanation:

35% × 60 =

(35 ÷ 100) × 60 =

(35 × 60) ÷ 100 =

2,100 ÷ 100 =

21

SOLVE FOR x:
4x^2+6x=10

Answers

Happy Holidays! =)

[tex]\large\boxed{x = -\frac{5}{2} \text{ and } 1}}[/tex]

4x² + 6x = 10

Move 10 to the other side so we can factor the trinomial:

4x² + 6x - 10 = 0

Factor the GCF, or 2 out of the equation:

2(2x² + 3x - 5) = 0

Factor the terms inside of the parenthesis:

2(2x + 5)(x - 1) = 0

Disregard the coefficient of 2 and set each factor equal to 0:

2x + 5 = 0

2x = -5

x = -5/2

x - 1 = 0

x = 1

The values of x are -5/2 and 1.

Solve the equation.

3n + 2= 8 + 2n
A. 3
B. 4
C. 5
D. 6

Answers

Answer:
D.
Explanation:

Move variable to the left-hand side and change its sign
3n-2n+2=8

Collect like terms

n=8-2

Solution:
n=6

A yathc is anchored 90 feet offshore from the base of a lighthouse. The angle of elevation from the boat to the top of the lighthouse is 26 degrees. What is nearest to the hieght of the lighthouse

Answers

Answer:

44 ft

Step-by-step explanation:

The set up will give a right angled triangle where;

Base of the triangle = 90 ft (distance of the offshore from the base of the house)

theta = 26 degrees (angle of elevation)

Height of the house will be the opposite side = x

Using the TOA trig identity;

tan 26 = opp/hyp

tan 26 x/90

x = 90tan 26

x = 90(0.4877)

x = 43.89 ft

Hence the nearest height of the house is 44ft

Pls help with this and quick I NEED HELP ASAP

Answers

Answer:

[tex]D. Real,\ Irrational[/tex]

Step-by-step explanation:

[tex]7\pi \\As\ we\ know\ that\ 7\pi \ is\ can\ be\ factorized\ into\ 7*\pi .\\As\ we\ know\ that\ \pi \ is\ a\ transcendental,\ and\ is\ non-terminating\ non-recurring,\ it\ is\ an\ irrational\ number.\\7\ is\ a\ rational\ number\ as\ it\ is\ terminating\ and\ can\ be\ represented\\ as\ \frac{7}{1} .i.e\ in\ a\ ratio.\\Now,\\As\ The\ product\ of\ a\ rational\ number\ and\ an\ irrational\ number\ is\ irrational.\\The\ product\ of\ 7\ and\ \pi \ which\ is\ 7\pi \ is\ also\ irrational.\\Hence,\\[/tex][tex]7\pi\ is\ irrational.\\As\ we\ know\ that\ all\ rationals\ and\ irrationals\ fall\ under\ the\ category\\ of\ Real\ numbers. All\ irrationals\ are\ real\ numbers\ too.\\Hence,\\7\pi \ which\ is\ an\ irrational [As\ Proven]\ is\ also\ a\ real\ number.\\Hence,\\7\pi \ is\ real\ and\ irrational.[/tex]

(-4b3 + b – 1) + (6b – 6) =

Answers

Answer:

7 B - 50

Step-by-step explanation:

Select the correct answer.
Select the function that defines the given sequence.

-11, -8, -5, -2, 1, . . .

Answers

Answer:

f(x) = 3x - 14

Step-by-step explanation:

Given sequence:

-11, -8, -5, -2, 1, . . .

This is an AP with first term of - 11 and common difference of 3

As an AP it is linear function with points

(1, -11), (2, -8), ...

We can define slope as m = 3 and y-intercept as (0, -14) so the function is:

f(x) = 3x - 14

sry the picture is blurry ask me of want to right it out.​

Answers

The one that has multiplication

PLEASE HELP! find (1,2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Translating two units down means we need to subtract two units from the y-coordinate. i.e

(x, y) → (x, y-2)

We are given that the original point is (1, 2), and we have to find the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise.

                                                FOR (1, 2)

Given

P(1, 2)

First translation: Translating two units down

(x, y) → (x, y-2)

P(1, 2) → P'(1, 2-2) → P'(1, 0)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after second transformation

P'(1, 0) → (-1, 0)

Thus, the image of (1, 2) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-1, 0)

                                                    FOR (2, 4)

Given

P(2, 4)

First translation: Translating two units down

(x, y) → (x, y-2)

P(2, 4) → P'(2, 4-2) → P'(2, 2)

Second transformation: Rotation of 180 counterclockwise.

Rotation of 180 counterclockwise will make both 'x' and 'y' coordinates negative. i.e

(x, y) → (-x, -y)

Thus, after the second transformation

P'(2, 2) → (-2, -2)

Thus, the image of (2, 4) obtained by translating 2 units down followed by a rotation of 180 counterclockwise will be: (-2, -2)                                        

A hotel puts out 1 apple for every 3 orange as the fruit for their breakfast buffet. Write a ratio of apples compared to all the fruit. *

Answers

Answer:

1:4

Step-by-step explanation:

In the ratio:

Number of apples: 1

Number of oranges: 3

Total number of pieces of fruit: 3 + 1 = 4

apples : all fruit = 1:4

Answer: 1:4

The ratio of apples compared to all the fruit will be 1: 4.

What are ratio and proportion?

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

A hotel puts out 1 apple for every 3 oranges as the fruit for their breakfast buffet.

The ratio of apples compared to all the fruit will be given as,

Apple: Fruits = 1: (3 + 1)

Apple: Fruits = 1: 4

The ratio of apples compared to all the fruit will be 1: 4.

More about the ratio and the proportion link is given below.

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