Which of the following inequalities are equivalent to the inequality x-b<3, where b is a constant? Select all that apply.

Which Of The Following Inequalities Are Equivalent To The Inequality X-b&lt;3, Where B Is A Constant?

Answers

Answer 1

Answer:

x - b - 3 < 0

Step-by-step explanation:

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Answer 2

The inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

What is inequality?

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

Given inequality is x-b<3. Solve the inequality and match it with the options.

x - b < 3

x - b - 3 < 0

From the options, we can see that the inequality x-b<3 is equivalent to the inequality x - b - 3 < 0.

Therefore, the inequality that is equivalent to x-b < 3 will be x - b - 3 < 0. The correct option is A.

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Related Questions

6 times a number is 27 less than the square of that number. Find the positive solution

Answers

Answer:

6n = 27 - n^2

n = 3

Step-by-step explanation:

This is the answer because:

1) Solve for  n  by simplifying both sides of the equation, then isolating the variable.

Hope this helps!

Terri's recipe for pies calls for 1 1/3 cups of flour. If she has 10 cups of flour, how many pies can she make?

Answers

Answer:

She can make 7 pies

10 divided by 1 1/3 is 7.5

Step-by-step explanation:

Answer:

She can make 7 pies

Step-by-step explanation:

1 1/3=1.333

1.333×7=9.331

and

1.333×8=10.664

Meaning she wouldn't have enough for 8 pies

Therefore the answer is 7

Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina com 1mx0,8m. Sabendo que ele recortou 2 triângulos, ambos com 20cm de base e 30 cm de altura, 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm. Determine em cm² quanto foi a área da cartolina que sobrou. * 1 ponto 7595cm² 0,7595m² 7190cm² 0.719m²

Answers

Answer:

7190 cm²

Step-by-step explanation:

Para recortar algumas figuras geométricas, um aluno utilizou uma cartolina de 1 m x 0,8m.

Passo 1

Determine a área de todo o papelão

= Temos dimensões = 1mx0,8m

Área = Comprimento × Largura

= 0,8m²

Nós convertemos para cm²

1 m² = 10.000 cm²

0,8m² = x cm²

Multiplicação cruzada

0,8m² × 10.000 cm² / 1 m²

= 8000 cm²

Passo 2

Sabendo que recortou 2 triângulos, ambos com 20cm de base e 30cm de altura

Encontramos a área de um triângulo

= 1/2 × base × altura

= 1/2 × 20 × 30

= 300cm²

Ele cortou 2 triângulos Portanto, o são dos dois triângulos = 300cm² × 2

= 600cm²

etapa 3

Ele também cortou 2 trapézios ambos com bases de 10cm e 20cm e altura de 7cm.

A área de um trapézio =

1/2 (a + b) h

= 1/2 (10cm + 20cm) × 7cm

= 1/2 × 30 × 7

= 105 cm²

Ele cortou dois trapézios, portanto

A área dos dois trapézios do corte = 105cm² × 2

= 210 cm²

Passo 4

A área total do papelão que foi cortado = 600cm² + 210cm²

= 810 cm²

Etapa 5

Determine em cm² quanto de papelão sobrou.

Isso é calculado como:

Área total do papelão - Área total que foi cortada

= 8000 cm² - 810 cm²

= 7190 cm²

Simplify the following - (32)²​

Answers

Answer:

=-1024

Step-by-step explanation:

Hope this helps (:

Can anyone help me out with this Algebra 2 question?

Answers

Answer:

i was taught it would be answer D

Step-by-step explanation:

Answer:

The right answer is C

and this how it looks like on the graph

Identify the horizontal and vertical asymptotes, if any, for the graph of f(x) shown. Check all that apply.

y = 0
y = 1
x = 1
x = –1
no vertical asymptotes
no horizontal asymptotes

Answers

Answer:

y = 0 , x = 1

Step-by-step explanation:

jdbdjdajhsbsbs

Answer:

Step-by-step explanation:

The graph has both a vertical and horizontal asymptote to which the value

of the function approaches as the y-values and x-values approaches

infinity respectively.

The horizontal asymptote is; y = 0The vertical asymptote is the line x = 1

Reasons:

The horizontal asymptote is the horizontal line that the function's graph

tends towards as the value of the input variable approaches infinity.

The horizontal line that the graph of the function approaches is y = 0

Therefore;

The horizontal asymptote is; y = 0

Similarly, the vertical asymptote is the vertical line that the graph of the

function approaches but never meets.

Therefore;

The graph of the function on the bottom left approaches the line x = 1 from

the left, while the graph of the function with the domain 0 < x < ∞,

approaches the line x = 1 from the right.

Therefore;

The vertical asymptote is the line x = 1

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graph for y=2/3x-4 ​

Answers

Y intercept at -4 and it will be increasing from left to right because it has a positive slope.

Answer:

2/3x-4

Step-by-step explanation:

I’m dumb too

Eight times the length of a segment x is 5 ft.

Answers

Answer:

8x=5

Step-by-step explanation:

30 POINTS! HELP ME PLZZ I NEED HELP WITH THIS!!!

Answers

Answer:3/12 is greater

Step-by-step explanation:

Since 3/12 and 2/9 have different denominators, you need to find the Least Common Multiple (LCM) of the denominators and then multiply the top and bottom of each fraction by the number of times the denominator goes into the LCM.

According to my calculations, the LCM of the two denominators is 36. Therefore, since 12 goes into 36 a total of 3 times, you would multiply the top and bottom of the first fraction by 3. And since 9 goes into 36 a total of 4 times, you would multiply the top and bottom of the second fraction by 4.

Step #2: Now that the denominators are the same, you can simply compare the numerators to determine which fraction is greater. Since 9 is greater than 8, 9/36 is greater than 8/36. Therefore the 1st entry (3/12) is greater than the 2nd entry (2/9).

There are 81 cal in a 3/4 cup serving of chicken noodle soup how many calories are in a 2/3 cup serving?

Answers

Answer:

There are 72 cal in 2/3 cup serving of noodle soup

Step-by-step explanation:

The given parameters are;

The amount of calories in 3/4 cup serving of chicken noodle soup = 81 cal

The amount of calories in a 2/3 cup serving is given as follows;

3/4 cup contains 81 cal

1 cup contains 81/(3/4) cal = 81 × 4/3 cal = 108 cal

1 cup contains 108 cal

2/3 cup contains = 2/3 × 1 cup = 2/3 × 108 cal = 72 cal

2/3 cup contains 72 cal

Therefore, there are 72 cal in 2/3 cup serving of noodle soup.

I need help this is my last page

Answers

Answer:

The number: 85     factors: 17, 1

Step-by-step explanation:

136-51=85

85 and 51

Common factors of 85 and 51

17,1

plz help me!! Polynomial Long Division (Level 1)

Answers

Answer:

x² + x + 1

Step-by-step explanation:

Question 5
(-8,000,000)° is 1.
True
O False

Answers

the answer would be false

Sarah and her children went into a movie theater where they sell bags of popcorn for $7.50 each and drinks for $4.50 each. Sarah has $90 to spend and must buy a minimum of 16 bags of popcorn and drinks altogether. If xx represents the number of bags of popcorn purchased and yy represents the number of drinks purchased, write and solve a system of inequalities graphically and determine one possible solution.

Answers

Answer:

A possible solution is she should by 6 bags of popcorn and 10 drinks

Step-by-step explanation:

The price of each bag of popcorn = $7.50

The price of each drink = $4.50

The amount Sarah has to spend = $90

The number of bags of popcorn and drinks Sarah must buy = 16 bags of popcorn and drinks

Let the number of bags of popcorn purchased be represented by x and the number of drinks purchased be represented by y

Therefore, we have;

x + y ≥ 16.....(1)

x × 7.5 + y × 4.5  ≤ 90

Which gives;

7.5·x + 4.5·y ≤ 90....(2)

Rewriting the inequalities as a function of y, gives;

From inequality (1), x + y ≥ 16, we have;

y = ≥ 16 - x

From inequality (2), 7.5·x + 4.5·y ≤ 90, we have;

7.5·x + 4.5·y ≤ 90

4.5·y ≤ 90 - 7.5·x

y ≤ 90/4.5 - 7.5/4.5·x

y ≤ 20 - 5/3·x

Please find attached, the plot of the inequalities

A possible solution is given as the value of x = 6, where y = 10

Therefore, she should by 6 bags of popcorn and 10 drinks.

HELP ME PLZZ I NEED HELP WITH THIS!!

Answers

Answer:

800-250=550

Step-by-step explanation:

I hope this helped! Please mark as brainliest if i was correct.

Lucia wishes to advertise her business, so she gives packs of 6 red flyers to each restaurant owner and sets of 4 blue flyers to each clothing store owner. At the end of the day, Lucia realizes that she gave out the same number of red and blue flyers. What is the minimum number of flyers of each color? Flyers

Answers

Answer:

12

Step-by-step explanation:

No. of red flyers = 6

No. of blue flyers = 4

We need to find the minimum number of flyers of each color if she gave out the same number of red and blue flyers. For this we must find the LCM of 6 and 4.

Prime factorization of 6 = 2×3

Prime factorization of 4 = 2×2

Lowest common multiple of 6 and 4 = 12

Hence, there are 12 minimum number of flyers of each color

I need help.........,

Answers

Answer:

Step-by-step explanation:

p=15-4

p= 11

brainliest for correct answer please help Point A is located at (-5,2). It is translated up 5 and left 3. Please state the location of A'.

Answers

Answer:

(-8,7)

Step-by-step explanation:

Hmmmmmmmmmmmmmmm?????????

Answers

Answer:whats the question?????

Step-by-step explanation:

2-83. Build, simplify, and solve each equation. Record your work. Drag the tiles below into the equation mat.
a. -x+ 2 = 4​

Answers

Answer:

you need to add 2 to the x and convert it to negative   X=-2

Step-by-step explanation:

for a giveaway, a local radio station is putting together goodie bags. The bags will include tickets and posters. Each goodie bag will receive an equal share of 54 tickets and 36 posters.
(A) what is the greatest number of goodie bags that can be created? explain your reasoning.
(B) How many of each type of giveaway will be in each bag? Explain your reasoning.

Answers

3 bags can be made with 12 posters in each and 18 tickets in each

Please help! I will give brainliest!

15 points!!!

Answers

Answer:

1887

Step-by-step explanation:

[tex]\textrm{substitute }x=-5\textrm{ into the equation:}\\2(-5)^{4}-5(-5)^{3}+(-5)^{2}+3(-5)+2\\=2(625)-5(-125)+25-15+2\\=1887[/tex]

i need help with fractions :(

Answers

Answer:

x = 0, Need the steps?

STEPS:

9x - 7 = -7 (Original Problem)

9x = 0 (Add 7 to both sides)

x = 0 (Divide both sides by 9)

Answer:

Step-by-step explanation:

(3) 9x-7=7

First multiply 3 by 9x to get 27x

27x-7=7

Then add 7 to both sides

27x-7+7=7+7

27x=14

27x/27=14/27

x=14/27

Which of the following equations could represent
the points in the table? Select all that apply.
A y − 11 = −6(x − 0)
B y − 1 = −6(x + 5)
C y + 1 = −6(x − 2)
D y − 7 = −6(x − 3)

Answers

Answer:

A) y - 11 = -6(x - 0)

C) y + 1 = -6(x - 2)

Step-by-step explanation:

Plug in the corresponding x- and y- values in the table into the equations given in the answer choices.

I am going to use (1, 5) from the table.

A) y - 11 = -6(x - 0)[tex](5)-11=-6((1)-0)[/tex][tex]-6=-6(1)[/tex][tex]-6=-6[/tex]

-6 DOES equal 6, so this equation could represent the points in the table.

B) y - 1 = -6(x + 5)[tex](5)-1=-6((1)+5)[/tex][tex]4=-6(6)[/tex][tex]4 \not=-36[/tex]

4 does NOT equal 36, so this equation could not represent the points in the table.

C) y + 1 = -6(x - 2)[tex](5)+1=-6((1)-2)[/tex][tex]6=-6(-1)[/tex][tex]6=6[/tex]

6 DOES equal 6, so this equation could represent the points in the table.

D) y - 7 = -6(x - 3)[tex](5)-7=-6((1)-3)[/tex][tex]-2=-6(-2)[/tex][tex]-2\not=12[/tex]

-2 does NOT equal 12, so this equation could not represent the points in the table.

The only two equations that could represent the points in the table are answer choices A) y - 11 = -6(x - 0) and C) y + 1 = -6(x - 2).

NEED YOU GUYS HELP!!! ​

Answers

Answer:

3x and 9x

Step-by-step explanation:

They both are with the variable x

Doug's Pizza Shop sells pizza for $12plus $3per topping "t". Jake'sPizza Shop sells pizza for $17plus $2per topping "t". Write an equation that willtell you how many toppings need to be on a pizza from each pizza place to make their pizza the same price.

Answers

Answer:

5 toppings

Step-by-step explanation:

Given that :

Doug's pizza:

Sales price of pizza :$12 plus

Topping (t) = $3 per topping

Jake's pizza:

Sales price of pizza :$17 plus

Topping (t) = $2 per topping

To make their pizza the same price, how many topping needs to be on a pizza of each

12 + 3t = 17 + 2t

3t - 2t = 17 - 12

t = 5

5 toppings each

porfavor ayudenme doy coronita

Answers

Step-by-step explanation:

Hola! Yo te puedo ayudar, pero no se como explicarlo en español muy bien, perdon en avance!

1) 5×10^3+6×10^2

  (5×1000)+(6×100)

   5000+600= 5,600

2a) 3×10^3×1.5×10^8

     (3×1000)×(1.5×10000000)

      3000×150000000= 450,000,000,000

2b) 4.2×10^3×2×10^-7

     (4.2×1000)×(2×0.0000001)

      4200×0.0000002= 0.00084

3a) [tex]\frac{6*10^5}{3*10^2}[/tex]

    [tex]\frac{600,000}{300}[/tex] = 2,000

3b) [tex]\frac{8*10^{-7} }{2*10^{-9} }[/tex]

     [tex]\frac{0.0000008}{0.000000002}[/tex] = 0.0000000000000016 o 1.6×10-10

4a) (2×10^5)^3

      200000^3= 8,000,000,000,000,000 o 8e+15

4b) (3×10^-12)^2

0.000000000003^2= 0.000000000000000000000006 o 9e-24

plz help asap nowwww

Answers

Answer:

10 to the power of 5 is 50 so do 50 times 3.8 and 10 to the power of 4 is 40 so do 40 times 5.9

2. Determine the amount of interest owed after 2 years on a $850 loan at 12.25% if no payments
are made. LTD
Enter your answer

Answers

Answer:

Question example:

The amount of interest is 208.74$

Here we have given

Amount (P)=850$

Interest (r)=12.25%

Time (t)=2 years

we have to calculate the simple interest

What is the formula for simple interest?

[tex]I=\frac{PRT}{100}[/tex]

Plug the given value in above formula

[tex]I=\frac{850*12.25*2}{100}[/tex]

Simplify above equation we get

[tex]I=\frac{850*12.25*2}{100}\\\\I=\frac{20874}{100}\\\\I=208.74[/tex]

Therefore the amount of interest is 208.74$

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Write an equation for the line that passes through (2,5) and (6,7)

Answers

Answer:

[tex]y=\frac{1}{2}x+4[/tex]

Step-by-step explanation:

Find the slope of the line first using the slope formula:

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute the two given points into this formula.

[tex]\frac{7-5}{6-2} =\frac{2}{4} =\frac{1}{2}[/tex]

Now that you have a slope and a point that the line passes through, you can use the point-slope formula to find the equation of the line.

Point-slope formula:

[tex]y-y_1=m(x-x_1)[/tex]

Substitute m = 1/2 for the slope and one of the points; I'm going to use (2, 5).

[tex]y-(5)=\frac{1}{2} (x-(2))[/tex]

Simplify the equation so it's easier to read.

[tex]y-5=\frac{1}{2} (x-2)[/tex]

Distribute 1/2 inside the parentheses.

[tex]y-5=\frac{1}{2}x-1[/tex]

Add 5 both sides of the equation.

[tex]y=\frac{1}{2}x+4[/tex]

Answer:

The slope is the change in y over the change in x.

(7-5) / (6-2) = 2 / 4 = 1 / 2

In y = mx + b, we know y, m, and x. Now solve for b:

Let's use the point (2, 5).

5 = (1/2)(2) + b

5= 1 + b

b = 4

Now put it together:

y = (1/2)x + 4

Step-by-step explanation:

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