How do you solve an inequality, then verify the solution by subsituting 3 different numbers?

Answers

Answer 1

Answer and Step-by-step explanation:

To solve an inequality, you must solve for the variable. Let's look at an example:

4x + 2 > 10

We solve for x by subtracting 2 from both sides, then dividing 4 on both sides.

(Solve as if you were solving a regular equation)

4x > 8

x > 2

We get x > 2 as our inequality.

To plug in 3 values, simply plug in any number that is greater than 2. That would be the solution to the inequality.

If when solving the inequality and you have to divide by a negative, the sign will change. Ex:

-5x > 25

x < -5

To show that the sign should switch, let's solve it this way.

-5x > 25

0 > 25 + 5x       Add the 5x to both sides.

-25 > 5x            Subtract the 25 from both sides

-5 > x                Divide by 5 from both sides.

As we can see, the inequalities turn out to be the same, which is why you flip the sign when you divide.

#teamtrees #PAW (Plant And Water)


Related Questions

Help!! X= what!? Any idea

Answers

Answer:

X= 0 and -4

Step-by-step explanation:

How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.

Answers

Answer:

C, you can use rotations to describe a change in the position of a figure.

Write the equation for each graph.

PLEASE HELP ME ON BOTH !!

Answers

Using y=mx+b

m stands for slope, b stands for y-intercept

slope is rise/run, the y-intercept is the point where the line touches the y-axis

1- y=(4/6)x+(-2)

2- y=(-2)x+(3)

Work out the reciprocal of 0.125

Answers

Answer:

The right answer is 8 hope I helped

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

John volunteers at the animal shelter on weekends. One Saturday, John unloaded 27 bags of dog food. Each bag weighed 35 pounds. How many ounces of dog food did John unload?

Answers

Answer:

945 ounces

Step-by-step explanation:

if you read it closley you will find that if you multiply you will get 945 ounces because all you have to do is multipply.

Your school raised 125% of its fundraising goal.The School raised $4500.What was the goal?

Answers

Answer:

3600

Step-by-step explanation:

125%=4500

5*25%=4500

25%=900

125%-25%=100%

4500-900=3600

Find the hypotenuse of a right triangle that has a 13cm leg and a height of 7cm

Answers

Answer:

14.76 cm

Step-by-step explanation:

Use the pythagorean theorem:

a² + b² = c²

Plug in the side lengths and solve for c:

7² + 13² = c²

49 + 169 = c²

218 = c²

14.76 = c

So, the hypotenuse is approximately 14.76 cm

How many 3/4s are in 2

Answers

How many three-fourths are in 2? 2 complete sets of three-fourths can be made and 2 of the 3 pieces need to make \frac34 are left over, so we have another \frac23 of a three-fourths. and we can see that there are 2 wholes with 4 fourths in each whole, so there are 2\times 4 fourths in 2.

Answer:

2

Step-by-step explanation:

If you do three you get more than two

The diameter of a sphere with a volume of 12,348 cubic ft is ___ ft.

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

108.62ft

Step-by-step explanation:

12348=⁴/3×3.14×r²

r²=12348×¾÷3.14

r²=2,949.36

r=squareroot of 2,949.36

r=54.308

d=2r

d=54.308×2

d=108.616

I need help please help me !!!!!!

Answers

the whole thing? not sure

Jenna's only source of income is from her job at a car wash, where she works 25 hours each week. She is paid $9.90 per hour. What is her net weekly income if she pays $30.70 in payroll tax each week?

Answers

Answer: 216.8$

Step-by-step explanation:

25 x 9.9 = 247.5

247.5 - 30.70 = 216.8

QUESTION IN THE PHOTO! NO WRONG ANSWERS PLS

Answers

Answer:

your answer should be 2

Step-by-step explanation:

hope it helps, have a wonderful day :)

A passenger cruise ship from Bahamas takes 48 hours at an average speed of 21 knots to reach its
destination. How much time will the ship take to the port if the captian accelerates the speed to
24 knots?

Answers

Answer:

the other person is right hope this cockledodledoes your day

Find the exact value of the expression: -6 3/5 - (-7 4/15) + 2 1/5

Answers

Answer:

Step-by-step explanation:

-6 3/5 - (-7 4/15) + 2 1/5

Combine the first and third terms first

-6 3/5 + 2 1/5 = - 4 2/5

Now deal with the second term

- (- 7 4/15) = 7 4/15

7 4/15 - 4 2/5      

7 4/15 - 4 6/15           Add 15/15 to 7 4/15 Subtract 1 from the 7

6 19/15 - 4 6/15

2 13/15

Perform the operation.
(x^2 + 8x + 8) + (-10x2 + 5x)

Answers

Answer:

-9x^2+13x+8

Step-by-step explanation:

Combine like terms-

(x^2 + 8x + 8) + (-10x^2 + 5x)

8x+5x = 13x

(x^2 + 8x + 8) + (-10x^2 + 5x)

-10x^2+x^2 = -9x^2

(x^2 + 8x + 8) + (-10x2 + 5x)

and 8 is just left over, so we put that all together and get...

-9x^2+13x+8

Good luck, have a great day!

Write an equation for the line that is perpendicular to Y=-3/7x+4 and passes through (-4,-5)

Answers

9514 1404 393

Answer:

  y = 7/3x +13/3

Step-by-step explanation:

The equation of the given line is in slope-intercept form (y=mx+b), so we can see the slope (m) is -3/7. The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m = -1/(-3/7) = 7/3

The y-intercept of the perpendicular line can be found from ...

  b = y -mx

  b = -5 -(7/3)(-4) = -15/3 +28/3 = 13/3

Then the slope-intercept equation of the perpendicular line is ...

  y = mx +b

  y = 7/3x +13/3

_____

Additional comment

You can get there a little faster using the point-slope form of the equation of a line. For slope m and point (h, k) that form is ...

  y -k = m(x -h)

For our perpendicular line, the equation is ...

  y +5 = 7/3(x +4)

Please help me find the volume :3

Answers

9514 1404 393

Answer:

  (d)  539 mm³

Step-by-step explanation:

The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.

volume of bottom part

  V = LWH

  V = (13 mm)(7 mm)(4 mm) = 364 mm³

volume of the top part

  V = (5 mm)(7 mm)(5 mm) = 175 mm³

Then the total volume is ...

  364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure

Mary Beth has a ribbon that is 15 cm long. Alicia has a ribbon that is 9 cm long. How many centimeters of ribbon do they have?

Answers

Answer:

24cm

Step-by-step explanation:

The ribbons they both have can be found by adding 15 to 9

15 + 9 = 24cm

The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)

Answers

Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

In the figure, all lines intersect at point W.
What is the value of n?

Please help quick

Answers

Answer:

n = 15

Step-by-step explanation:

A straight line equals 180 degrees

Angle SWT is congruent to angle XWV meaning:

SWT (55 degrees) = XWV (55 degrees)

Set up an equation:

3n + 80 + 55 = 180

Combine like terms

3n + 135 = 180

Subtract both sides by 135 to isolate variable n

3n = 45

Divide both sides by 3 to isolate variable n

n = 15

Can someone answer this for me quickly!

Answers

Answer:

0.5

Step-by-step explanation:

If the 30 is in degrees, then the answer is 1/2 or 0.5. If the 30 is in radians, then your answer is -1.0.

Answer:

x = [tex] \boxed{\dfrac{1}{2}} [/tex] units

[As a fraction]

x = [tex] \boxed{0.5} [/tex] units

[As a decimal]

Help!!!!!! Quick answers pls

Answers

[tex]8 \frac{9}{18} [/tex]

f(x) =5x+8, g(x) = 2^2-1

Answers

Answer:

Step-by-step explanation:

f(g(x) ) =  5(g(x)) +8

=5(3)+8

=15+8

=23

g( f(x) ) = 3(f(x))

=3(5x+8)

=15x +24

:)

Mr. Turney wrote the value statement "x = 2" on the whiteboard. He asked his students to create an equation or inequality with this value as a solution.

Answers

Answer:

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

Step-by-step explanation:

Given - Mr. Turney wrote the value statement "x = 2" on the whiteboard.

To find - He asked his students to create an equation or inequality with

              this value as a solution.

Proof -

Given that, The value statement is ''x = 2''

We have to find out that equation in such a way that if we solve the equation , we get the value x = 2

There can be infinite many equation that give the value statement '' x = 2''

Some of the equations can be written as-

1. 2x = 4

2. 3x + 9 = 15

3. x + 5 = 7

4. 5x - 2 = 8

And many more.

Verification -

1. 2x = 4

⇒x = [tex]\frac{4}{2}[/tex]

⇒x = 2

Verified

2. 3x + 9 = 15

⇒3x = 15 - 9

⇒3x = 6

⇒x = [tex]\frac{6}{3}[/tex]

⇒x = 2

Verified

3. x + 5 = 7

⇒x = 7 - 5

⇒x = 2

Verified

4. 5x - 2 = 8

⇒5x = 8 + 2

⇒5x = 10

⇒x = [tex]\frac{10}{5}[/tex]

⇒x = 2

Verified

No need for explanation

Answers

Answer:

32

Step-by-step explanation:

I'll assume they're vertical angles

5x - 13 = 2x + 14

3x = 27

x = 9

<ABC:

5x - 13

5(9) - 13

32

Answer:

L.49

NO EXPLANATION

can someone help me with this?
1⁵ + 5² / 25⁰ - 5¹=​

Answers

Answer: 6.5

Step-by-step explanation:

1 (to the power of 5) is 1 and 5 (to the power of 2) is 25.

25 (to the power of 0) is 1 and 5 (to the power of 1) is 5.

1 + 25 = 26 and 1 - 5 = -4.

Since the slash means division in math and any number to the power of 0 is always 1.

The answer would be: -6.5.

The solution for the expression  [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex] after simplifying is,

[tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)} = \frac{- 13}{2}[/tex]

We have to give that,

The expression to simplify is,

⇒ [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex]

Simplify the expression by simplifying each term in a given fraction,

⇒ [tex]\frac{(1^5 + 5^2)}{(25^0 - 5^1)}[/tex]

Since,

1⁵ = 1

5² = 5 × 5

= 25

25⁰ = 25

5¹ = 5

Substitute all the values,

⇒ [tex]\frac{(1 + 25)}{(1 - 5)}[/tex]

⇒ [tex]\frac{26}{-4}[/tex]

⇒ [tex]\frac{-26}{4}[/tex]

Simplify the fraction in simplest form,

⇒ [tex]\frac{- 13}{2}[/tex]

Hence, The solution is, - 13/2

To learn more about the fraction visit:

https://brainly.com/question/5454147

#SPJ4

Lucy scored 20 points in her basketball game. She made 4 of her free throws, worth 1 point each, and made no 3-point field goals. How many 2-point field goals did she make?
a. write an equation to represent this situation.

Answers

Answer:

Step-by-step explanation:

4x1=4, 20-4=16. 16/2=8. Lucy made 8 2 point field goals

The function f is given in three equivalent forms.
Which form most quickly reveals the vertex?
A. f(x)=-3(x+1)(x-5)
B.f(x)=-3x^2+12x+15
C.f(x)=-3(x-2)^2+27

what is the vertex?
( , )

Answers

Answer:

C     Vertex is (2, 27)

Step-by-step explanation:

C     Vertex is (2, 27)

Which statement below describes the mode of the data represented in the relative frequency table? A) The mode of the data represented in the table is blue. B) The mode of the data cannot be determined. C) The mode of the data represented

Answers

Answer:

A

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times in the data set while the other values appear only once.

Mode is a measure of central tendency

Other measures of central tendency includes : mean and median

Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most

Blue has the highest relative frequency value

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