Which of the following pairs of inequalities are equivalent

x-5> 4 and 2x-10 >8

x- 5 >4 and 2x +10 >8

x+5 >4 and 2x+10 <8

ALL​

Answers

Answer 1

Answer:

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Step-by-step explanation:

Given

Pairs of inequalities

Required

Select which is equivalent

(a): [tex]x-5> 4[/tex] and [tex]2x-10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is equivalent to [tex]2x - 10 > 8[/tex]

(b): [tex]x-5> 4[/tex] and [tex]2x+10 >8[/tex]

Multiply both sides of [tex]x-5> 4[/tex] by 2

[tex]2 * (x - 5) > 4 *2[/tex]

[tex]2 * x - 2*5 > 4 *2[/tex]

[tex]2x - 10 > 8[/tex]

Hence: [tex]x-5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]

(c): [tex]x+5> 4[/tex] and [tex]2x+10 <8[/tex]

Multiply both sides of [tex]x+5> 4[/tex] by 2

[tex]2 * (x + 5) > 4 *2[/tex]

[tex]2 * x + 2*5 > 4 *2[/tex]

[tex]2x + 10 > 8[/tex]

Hence: [tex]x+5> 4[/tex] is not equivalent to [tex]2x+10 <8[/tex]


Related Questions

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−4x−3y=-21
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Answers

Answer: x and y = 3

Step-by-step explanation:

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Yes, it is definitely possible that their surface areas be unequal.

Graph the line.
Y+4=1/5(x-1)

Answers

Answer:

graph the point (0, -5) and from that point go up 1 unit and to the right 5 units (5, -4) and plot that point; connect the two points

Step-by-step explanation:

what is the area of DEF​

Answers

Answer:

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Answer:

240 cm^2

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represent?
O the radius of the basketball when the volume is V
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Answers

Answer:

I believe it represents the volume of the basketball when the radius is r?

Michael earns $900 per month, plus 5% commission on all his sales over $750. what is the minimum amount of sales Michael must have to earn at least $3500 in a month?

Answers

Answer:

The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Explanation: The minimum amount of sales Michael must have to earn at least $2500 in a month is $ 32000

Solution:

The expression to Michael earnings is:

Where,

b is the base salary, which is $ 900 in this sum

c is the commission rate

Given that commission rate is 5%

Michael must have to earn at least $2500 in a month

Here, at least means, "greater than or equal to" 2500

The inequality is framed as:

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1.
We want to solve the following system of equations using the substitution method.
Equation 1
y = 4x + 17
Equation 2
y = 2x + 7
1a
First solve for x.
Enter your next step here
Skip step
Atilla Tektas - Unit...pdf

Answers

Answer:

2x + 7= 4x + 17

7=2x+17

-10=2x

-10/2=2x/2

x=−5

How does hiphop use energy as a element of dance PLEASE ANSWER

Answers

Answer:

Energy can happen with movement. Dance requires a bunch of movement.

dancing is the use of force, tension, and weight.

9 + 2y = 2 - 3y

3 - 11x = 9 + 5x

4 - 7m = 12 - 3m

12 - (-9v) = 8 - 4v

Answers

Answer:

Multiple answers (image of work & answers below)

Step-by-step explanation:

What is 70*3/4 explain how you got your answer

Answers

When you multiply a whole number by a fraction, multiply the whole number by the numerator, then divide that by the denominator.

70 x 3/4 = (70 x 3) /4  = 210/4 = 52.5

Answer:

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Step-by-step explanation:

I got this answer by turning 70 into a fraction - 70/1 and using cross multiplication.

what is the absolute vaule of the number you wrote as an answer to number 1

Answers

Answer:

Just remove the Negative from the number you got for question #1

Example:

|19| = 19

|-19| = 19

|8.2| = 8.2

|-7.8| = 7.8

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True False

Answers

Answer:

False

Step-by-step explanation:

to determine if the points are collinear, determine the rate of change(slope) between (-2, -9) and (0, -4) and then the rate of change between (0, -4) and (3,6) and rate of change between (-2, -9) and (3, 6). if the rates are equivalent then the points are all collinear

between (-2, -9) and (0, -4):

m=(y2-y1)/(x2-x1)

  =(-4-(-9))/(0-(-2))

  =5/2

between (0, -4) and (3,6):

m=(y2-y1)/(x2-x1)

  =(6-(-4))/(3-0)

=10/3

because 5/2 does not equal 10/3 the rates of change are not equal and the points are not collinear, do not need to consider slope between (-2, -9) and (3, 6)

noel can wash 20 cars in 1.6 hours. How many cars can she wash in 4 hours?

Answers

1.6 hours is 96 minutes and 4 hours is 240 minutes and if u subtract that Noel can wash 144 cars in 4 hours

helpppppppppppp???????????????????????????????????????????????\\

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A. Plane f
B. B, C, F
C. A
D. if you can type two letters in AC, If only one try A

I need help with the quadratic formula questions.

Answers

Answer:

hope the answer in the picture helps you.

Explain how to recognize when a system of equations has no solution.

Answers

Answer:

A system of linear equations has no solution when the graphs are parallel. Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.

Step-by-step explanation:

Answer:

Compare the slopes and y-intercepts of the two equations by putting them in slope-intercept form. If the slopes are equal, but the y-intercepts are different, then the lines are parallel and have no solution because they do not intersect at any point.

Step-by-step explanation:

Thats the sample answer on edge :)

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Answers

THe 3rd equation is true

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Answers

Answer:

113

Step-by-step explanation:

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A family went out to eat. The bill is $65.82. The family wants to leave a 20% tip. How much tip will be added on to the cost of dinner?

Answers

Answer:

$13.16

Step-by-step explanation:


HURRY I NEED THIS IN 20 mins please help me

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translated to the right 5 units and up 50 units.

Answers

Answer:

f(x) = -100(1.05)^(x+5) + 50

Step-by-step explanation:

Here, we want to write an equation that represents the transformation

5 units right means 5 units on the positive x-axis

50 units up means we add this to the total y value

So the resulting equation will be;

f(x) = -100(1.05)^(x+5) + 50

A parabola can be drawn given a focus of (8, 6) and a directrix of x=4. Write the equation of the parabola

Answers

Answer:

The equation of the Parabola

 (y - 6 )² = 8 (x -6)

Step-by-step explanation:

Step(i):-

Given directrix  x = 4

we know that    x = h - a = 4

               h -a =  4  ...(i)

Given Focus  = ( 8,6)

we know that the Focus of the Parabola

         ( h + a , k ) = ( 8,6)

   comparing  h + a = 8 ...(ii)

                  k = 6

solving (i) and (ii) and adding

   h - a + h+ a = 8 +4

           2 h = 12

              h =6

   Put h = 6 in equation (i)

  ⇒     h - a =4

  ⇒   6 - 4 = a

  ⇒      a = 2

Step(ii):-

The equation of the Parabola ( h,k) = (6 , 6)

( y - k )² = 4 a ( x - h )

(y - 6 )² = 4 (2) (x -6)

(y - 6 )² = 8 (x -6)

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Answers

Answer:

2(4a+b-2)

Step-by-step explanation:

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Answers

Answer:

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Answers

Answer: $9.26

Step-by-step explanation:

The total cost for each of their smoothies was:

= 4.95 * 2

= $9.90

Including taxes it will rise to:

= 9.90 * (1 + tax)

= 9.90 * (1 + 8.5%)

= $‭10.74

Change she will receive is:

= 20 - 10.74

= $9.26

The figures below are made out of circles, semicircles, quarter circles, and a square. Find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).

Answers

Answer:

Area of the shaded region = 16(π - 2) in²

Perimeter of the shaded region = 4(π + [tex]2\sqrt{2}[/tex]) in

Step-by-step explanation:

Since, BDC is a quarter of the circle with radius = 8 in.

Area of the quarter of the circle = [tex]\frac{1}{4}(\pi)(r)^2[/tex]

                                                     = [tex]\frac{1}{4}(64)\pi[/tex]

                                                     = 16π in²

Area of ΔBCD = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                        = [tex]\frac{1}{2}(8)(8)[/tex]

                        = 32 in²

Since, area of the shaded part = Area of quarter of the circle - Area of triangle BCD

= (16π - 32)

= 16(π - 2) in²

Therefore, area of the shade region = 16(π - 2) in²

Similarly, length of arc BD = [tex]\frac{1}{4}(2\pi r)[/tex]

                                            = [tex]\frac{8\pi }{2}[/tex]

                                            = 4π in.

Length of the diagonal of a square = (Side)√2

                                                          = 8√2 in

Perimeter of the shaded region = Length of arc BD + Length of diagonal BD

= 4π + 8√2

= 4(π + 2√2) in.

Kayla and totsakan each improved their yards by planting hostas and shrubs. They bought their supplies from the same store. Kayla spent $80 on 8 hostas and 5 shrubs. Totsakan spent $85 on 9 hostas and 5 shrubs, find the cost of one hosta and the cost of obe shrub.

Answers

Answer: one hosta = $5

One shrub = $8.

Step-by-step explanation:

Let the cost of one hosta be h

Let the cost of one shrub be s

Kayla spent $80 on 8 hostas and 5 shrubs. This can be written as:

8h + 5s = 80 ..... i

Totsakan spent $85 on 9 hostas and 5 shrubs. This can be written as:

9h + 5s = 85 ..... ii

8h + 5s = 80 ..... i

9h + 5s = 85 ..... ii

Subtract i from ii.

h = 5

The cost of one hosta is $5

Since 8h + 5s = 80

8(5) + 5s = 80

40 + 5s = 80

5s = 80 - 40

5s = 40

s = 40/5 = 8

One shrub cost $8.

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Answers

Answer:

2x-18

Step-by-step explanation:

2(x-9)

distribute the 2 in the ( )

2x-18

Hope this Helps!!!

2x-18 because you distribute the x so you multiply the 2 with x which is 2x and then the 2*9 is 18

What makes a linear pair with 84°?

Answers

Answer:

as per linear pair axiom it will be X + 84= 180

this answer is 106 degrees

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The answer is 116 cans

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Answers

3(2) (3) on top. Because 3x3 is 9

Answer:

Step-by-step explanation:

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