What are some possible solutions for the following inequality?

-3x+5x-2>-4x+1

Answers

Answer 1
x>1/2 is a solution
Answer 2

Answer:

Any value greater than 0.5.

Step-by-step explanation:

First, set the inequality to an equation and solve for x:

[tex]-3x+5x-2=-4x+1\\2x-2=-4x+1\\2x-2+4x=-4x+1+4x\\6x-2=1\\6x-2+2=1+2\\6x=3\\(\frac{1}{6})6x=3(\frac{1}{6})\\x=\frac{1}{2}[/tex]

This is the value at which the inequality equals 0.  To test the inequality and determine whether x is greater or less than [tex]\frac{1}{2}[/tex], choose any value of x that is easy to work with on either side of [tex]\frac{1}{2}[/tex]:

For x=0:

-3(0)+5(0)>-4(0)+1

0>1  This is not a true statement.  Therefore, x is not less than [tex]\frac{1}{2}[/tex].

For x=1:

-3(1)+5(1)>-4(1)+1

-3+5>-4+1

2>-3  This is a true statement.  Therefore, x is any value greater than [tex]\frac{1}{2}[/tex].


Related Questions

HELP PLEASE!!

This table represents the number of ounces, u, a kitten grows after w, weeks.


When graphed, all of the points in the table lie on the same line.




What is the slope and y-intercept of the line?



slope=2/3, y-intercept=−0.2


slope=−3/2, y-intercept = 3


slope= 3/2, y-intercept = 3


slope= −2/3, y-intercept=−0.2

Answers

Y intercept is the value of y at x = 0

At x = 0, y = 3

Y intercept is 3

The rate of growth of the cat is positive, meaning thats it gains, not loses, weight.

Option C is the only correct one.

It has a positive slope, and a y intercept of 3

To solve for slope mathematically, pick two points.

(0, 3)    (6,12)

(x1, y1)  (x2, y2)

or

(x2, y2) (x1, y1)

Pick which one is x1 and y1 and x2 and y2 based on what seems easier to calculate

Slope is equal to [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{12-3}{6-0}[/tex]

9/6

slope is 3/2

Hope this helps,

Jeron

:)

suppose the farmer buys 1/2 square mile of land and divides all his land into square fields 1/4 mile long and 1/4 mile wide how many fields will he have? What is the total area of his land in square miles?

Answers

Answer:

Step-by-step explanation:

So the farmer will have 8 fields each field, a square field with length of 1 side 1 over 4 of a mile. Did you know?

Can someone help, please

Answers

Answer: 2 1/2 as a fraction

Hope this helps!

Answer:

9

Step-by-step explanation:

PLEASE HELP AND GRAPH I WILL GIVE BRAINLIEST!!!!! IMAGES ADDED

Answers

Qu2) Yes, the graph shows that x and v have a proportional relationship. This can be seen because the points lie on a straight line, which indicates that the ratio of x to v is constant. When the value of x increases by 2, the value of v also increases by 4, which means that x and v are directly proportional
ONLY DOING THIS SO THE GUY ONTOP CAN GET BRAINLIEST!!

Can someone help, please

Answers

y = 1/4x +4
You plug in the slope and y intercept to the formula y = mx + b
y = 1/4x + 4
I believe that’s the answer.

need help again please

Answers

that would be 26 square feet

Answer:

Part A:

8 x 7 = 56; 56 x 10 = 560

Part B:

504

Part A & B explanation:

If you notice, there are no decimals in the answers so it's clear they round them. 8.4 rounded is 8 & 6.9 rounded is 7. To find the area of a singular rectangle is length x width. 8 x 7 = 56. In part A the directions say "best estimate" signaling that it isn't the exact answer you're looking for. 8 x 7 = 56; 56 x 9 = 504 would be the exact answer. (Answer for part b).Therefore, the answer for part A is 8 x 7 = 56; 56 x 10 = 560. Because 560 is the closest to 504 on the board.

Hope this helped <3

Sandra earns $164 for working 16 hours and $512.50 for working 50 hours. The relationship between her income and the number of hours is proportional linear relationship. Determine the rate of Sandra's earnings.

Answers

she earns $10.25 an hour

Answer: 41/4

Step-by-step explanation:

1. Calculate 164/16

2. Simplify 41/4

3. Alternative Forms 10.25 or 10 1/4

1.John’s age is 12 more than 2 times Sam’s age. The sum of their ages is 65. How old are John and Sam?

2.The difference between two numbers is 28. Find the two numbers if the larger number is 3 times the smaller number.

3.Mary and Jim collect baseball cards. Mary has five more than three times as many cards as Jim. The total number of cards they both have is 147. How many cards do they each have?

Give brainliest

Answers

Answer:

2. 14 and 42

i hope it's right :)

Step-by-step explanation:

Let the number be x

So, the larger number = 3x

So the # is 14

Other #

42

The ages of John and Sam are 47.34 and 17.66 years respectively.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, John’s age is 12 more than 2 times Sam’s age. The sum of their ages is 65.

Let, The age of Sam be 'x'.

Therefore, 2x + 12 + x = 65.

3x = 53.

x = 17.66.

So, Sam is 17.66 years old and john is (65 - 17.66) = 47.34 years old.

learn more about numerical expressions here :

https://brainly.com/question/29199574

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Help. I'll mark as brainlist.

Answers

Answer:

Step-by-step explanation:

Angle ACD and Angle DCA you will realize that they represent the same angle.

Angle ACD and Angle DCA
The angle is the same,but just has two different names

Can someone help, please

Answers

Answer:

y = 3x - 6

Step-by-step explanation:

We have to write it in slope-intercept form, y = mx + b

m = slope, which is 3

y = 3x + b

b = y-intercept, which is (-6)

y = 3x + (-6), BUT that's not the proper way to write it.

The proper way to write it would be y = 3x - 6

y= 3x - 6


3x is the slope and -6 is the y-intercept

A merchant marks-up the merchandise 20% . What will be the percent expression used to determine the price of each item to be sold

Answers

Answer:

The percent expression used to determine the price of each item to be sold is 1.2 x original price.

Step-by-step explanation:

1.2 X is the original price
Hope this helped!!!

Hari gives Sai some money. If 1/9 of the money was spent on food and 2/5 of the money was spent on clothes, how much money did Hari give to Sai?

Answers

Answer:
220.

Explanation:
1/9 -> 450=50
2/5 -> 450=180
180+50=230
450-230=220.

One boxcar of a model train measures 6 inches in length. The actual length of a boxcar is 606 inches (50.5 ft). What is the scale of the model?

Answers

Answer:

56.ft

Step-by-step explanation:

Answer:

56 feet

Step-by-step explanation:

need help on this one

Answers

Answer:

Repeating

Repeating

Non-Repeating

repeating

Step-by-step explanation:

1. Repeating
2. Repeating
3. Non-repeating
4. Repeating

What are the coordinates of point D(4/7, 3 1/3) after it reflected across the x-axis

Answers

Answer:it’s 4 units to the left

Step-by-step explanation: The point (4,3) reflected the x-axis,

=> The x remains the same, the y flips over the x-axis to be negative

     (4,3) ==>> (4,-3)

The point (-3,-8) is reflected in the y-axis.

=> The y remains the same, the x flips over the y axis to be negative

     (-3,-8)==>>(3,-8)

The point (2,4) is reflected in the line x = -3.

=> The x remains the same, the y flips over the x= -3 line.

     Instead of reflecting over the x-axis (or the x = 0) line

     and just being +4 or 4 above the x-axis to -4 or 4 below the x-axis-axis-axis

     you have +4 being 7 above the x= -3 line so you need

     7 below the x= -3 line or -10  SO

      (2,4)==>>(2,-10)

The point (a, b) is reflected in the line y = x

     Consider that the line x=y is a 45-degree diagonal.

     Imagine a point on the 45-degree at +3  i.e. (3,0)

     Imagine a line perpendicular to x=y from the point (3,0)

           (sorry there is no way to draw on here - try drawing it)

    The line would hit the x-axis-axis at (0,3)

    So you can see the x becomes y and y become x.

     (a,b)==>>(b,a)

For

ΔXYZ is defined by its vertices X(1,3), Y(-3,5), and Z(0, -5).

       ΔXYZ is reflected in the y-axis.

So for each of the 3 points X, Y, and Z reflect about

       the y-axis the same way in the second example above

       and you will have the 3 new points X’,  Y', and Z’

The translation T: (x, y) → (x -2, y + 4) maps the point (2, -3) to

The translation T: (x, y) → (x + 3, y - 2) maps the point (-4, -3) to

     What you need to do here is just plug the values for X and Y into the translation.

     e.g. for T: (x, y) → (x -2, y + 4)  plug (2,-3) of x=2 y=-3 into (x -2, y + 4) and get the new values.

What the person said above me

Help. I'll mark as brainlist.

Answers

Answer: okay, I think the answer would be <NQP and <PQN if the answer is asking for a different way to identify it other than <Q

Angle NQP and angle PQN

Can Someone Help Me Please?

Answers

Yes I’m free to help Anyday if the week if you need someone

Answer:    3x or 1 4/2x

Step-by-step explanation:

3/2x+1/2x+x=1 4/2x=3x

In a recent year, 44% of all college students were enrolled part-time. If 5.7 million college students were enrolled part-time that year, what was the total number of college students?

Answers

Answer:

when ypu have a problem you can tall me have a nice day at school when you like follow me

44% of 5.7 millions would be 2508000

whos better dallas cowboys or clevland browns

Answers

Answer:  Dallas

Step-by-step explanation:

2+2=4 and Your mom

Answer:

$dollas$

Step-by-step explanation:

Write an exponential growth function to model each situation,
15. Initial value: 20
Growth factor: 1.25

Answers

Answer: f(x)=20(1.0125)^t

Step-by-step explanation:

use the formula P(1+r)^t when considering exponential growth (make it 1-r if decay)

P - principal (initial) value

r - growth rate (as a decimal! so divide by 100)

t - time (can be years, months, days, etc)

so now that we know the formula, just plug in everything you know!

P=20, r=0.0125, t=x

so the function is

20(1+0.0125)^t or 20(1.0125)^t

since we dont have a defined time, that becomes the variable for x, the one we can manipulate, so if they ask for 10 years, just replace t with 10!

what is the of this expression 5/6 (1/8 / 3/4)

Answers

Answer:

2/3

Step-by-step explanation:

5/6-(1/8 / 3/4)

Skip flip multiply

5/6-(1/8x4/3)

5/6-(4/24)

5/6-(1/6)

4/6

2/3

hopes this helps please mark brainliest

help fast
expressions equivalent to 0.2(1.3x - 4.2) - x + 6.2

Answers

69696696969696969696
Simplify the radical expression.
-0.74x + 5.36

Latanya plans to repaint some classroom
bookcases. She has 5 gallons of paint. All
of the bookcases are the same size and
each requires gallon of paint. What is
the maximum number of complete
bookcases she can paint?

Answers

Latanya has 5 gallons of paint and each bookcase requires 1 gallon of paint to be fully painted, so she can paint 5/1=<<5/1=5>>5 bookcases.
This is the maximum number of complete bookcases she can paint.

Solve -5w = -80 for w.

w=

Answers

Answer:

[tex]\huge\boxed{\sf w = 16}[/tex]

Step-by-step explanation:

Given equation:

-5w = -80

Divide -5 to both sides

w = -80/-5

w = 16

[tex]\rule[225]{225}{2}[/tex]

-5w=-80
—— ——
-5 -5

w=16

A teapot can hold 45 liters of water what percentage of the pot is filled when it contains 9 liters of water?

Answers

Answer:

20%

Step-by-step explanation:

9/45 x 100

Answer:

20% of the pot is filled when it contains 9 litres of water.

Step-by-step explanation:

45 litres (total)

9 litres (filled)

9 ÷ 45 = 0.2

0.2 × 100 = 20

(Basically:  [tex]\frac{9*100}{45}[/tex])

Help pls, v2 of last question. Zoom in if needed

Answers

Answer: I'm not 100% sure what you're asking for, but the full answer to the last question is a .25 increase or a 25% increase.

Step-by-step explanation:

First, we need to see how much it increases.

We would take 1.50, and minus 1.25 from it to get our first answer of .25.

To get the percentage of increase, we would take our .25, and times it by 100 equaling 25%.

On the last question it’s a .25 increase so it’s going to be 25% increase.

Sam is tiling a floor. He will use the same repeating pattern for the entire floor. The rule is "Blue Tile, White Tile, Black Tile." If he uses 85 tiles, how many will be black? Enter your answer in the box. Sam is tiling a floor. He will use the same repeating pattern for the entire floor. The rule is "Blue Tile, White Tile, Black Tile." If he uses 85 tiles, how many will be black? Enter your answer in the box.

Answers

Answer:

28 Black tiles

Answer:28 tiles

Step-by-step explanation: there are 3 colors and he is using the color one by one by one color at a time so you divide by 85 by 3 and then you get 28

Carrie is creating a painting for art class. The width of the canvas is 5 inches greater than the height of the canvas. Write a simplified equation in terms of h (the height) for the perimeter, p, of the canvas. (Please show works!!!)

Answers

Answer:

5h

Step-by-step explanation:

there isnt any out numbers so the answer is just 5h.

5+h+5+h+h+h=P

Since there are 4 sides, there are 4 terms.

Please help asap and explain how you did it! Tysm!!♡♡

Answers

Answer:

5

Step-by-step explanation:

The points have a distance of 5 away from eachother

The answer is 5
Explanations:

ILL GIVE BRAINLISET
Simplify fraction with 7 minus 2 times 8 in the numerator and the cube root of 8 plus 6 in the denominator.

negative nine eighths
three eighths
negative three eighths
nine eighths

Answers

0.625 that’s a correct answer

Simplified form of the fraction is -9/8. Therefore, option A is the correct answer.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Given that, (7-2×8)/(∛8+6).

= (7-16)/(2+6)

= -9/8

Therefore, option A is the correct answer.

To learn more about the fraction visit:

brainly.com/question/1301963.

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