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

Marion bought 14 packages of plastic frog and lizard fishing lures. She bought frog lures in
packages of 4 and lizard lures in packages of 6 for a total of 72 lures. How many of each lure did
Marion buy?
A. 6 lizards and 4 frogs
B. 4 lizards and 8 frogs
C. 48 lizards and 24 frogs
D. 24 lizards and 48 frogs

Answers

Answer:

C. 48 lizards and 24 frogs

Step-by-step explanation:

Let F = number of frog lures, and let L = number of lizard lures.

Marion bought 14 packages of plastic frog and lizard fishing lures.

She bought frog lures in packages of 4 and lizard lures in packages of 6 for a total of 72 lures.

F + L = 72

F/4 + L/6 = 14

12 * F/4 + 12 * L/6 = 12 * 14

         3F + 2L = 168

(+)      -3F - 3L = -216

------------------------------

                   -L = -48

L = 48

F + L = 72

F + 48 = 72

F = 24

Answer: C. 48 lizards and 24 frogs

Estimate the surface area of the rectangular prism.
A) 28cm
B) 32cm
C) 64cm

Answers

Answer:

it a

Step-by-step explanation:

a pair of shoes costs $45 at joe's Emporium, and the same pair costs $56 at Fran's Shoes. what is the difference in price between Joe's Emporium and Fran's Shoes?

Answers

Answer:

$11

Step-by-step explanation:

to find the difference you subtract

56 - 45 = 11

find the value of a,b,y, and z

Answers

Answer:

^ACD= 90+60+x=180

^ACD=150+x=180

^ACD=x=30.

^DCB=60.

^CDB=90

tan = opposite/ adjacent

tan 60 = 8/a

a = 8/tan 60

a = 4.61880....

a = 4.6 cm (nearest tenth)



sin = opposite/ hypotenuse

sin 60 = 8/y

y = 8/sin 60

y = 9.2376.....

y = 9.2 cm (nearest tenth)



tan 30 = 8/b

b = 8/tan 30

b = 13.8564......

b = 13.9 cm (nearest tenth)



sin 30 = 8/x

x = 8/sin 30

x = 16 cm

What is the surface area of the triangular prism?


A. 13 in.2
B. 36 in.2
C. 78 in.2
D. 84 in.2

Answers

D is the best answer choice

Marco needs to buy some cat food if the next two or three bags of cat food cost 17.25 how much with Marco spend on two bags of cat food​

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Answer:

34.50

Step-by-step explanation:you multiply 17.25 times two because thats the amount of bags there is so that will give you 34.50

Find the slope using points ( 7,-3) and (11,-4)

Answers

Answer:

1/4

Step-by-step explanation:

Answer:

m = [tex]-\frac{1}{4}[/tex]

Step-by-step explanation:

Use the following equation:

slope (m) = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

Let:

[tex](x_1 , y_1) = (11 , -4)\\(x_2 , y_2) = (7 , -3)\\[/tex]

Plug in the corresponding numbers into the corresponding variables:

slope (m) = [tex]\frac{-3 - (-4)}{7 - 11} = \frac{-3 + 4}{7 - 11} = \frac{1}{-4} = -\frac{1}{4}[/tex]

[tex]-\frac{1}{4}[/tex] is your answer.

~

NEED HELP!! ITS ALGEBRA 1
The equations of four lines are given. Identify which lines are perpendicular.
Line 1: y=−5
Line 2: y=¼ x-1
Line 3: x=−6
Line 4: y+5=−4(x+1)

Answers

I’ve attached my work....
Perpendicular is when the slope is. Flipped and opposite signs so that’s what I test for each line
Hope this helps!

A patio 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners what shape is the patio

Answers

Answer:

The patio is a rectangle

Step-by-step explanation:

Since it is given that we have 2 pairs of two parallel sides, which implies 4 sides, this thus shows that the shape is a quadrilateral since, only quadrilaterals have 4 sides. Also, 2 pairs of sides are the same length, and are parallel, it shows that the shape is likely a rectangle.

Finally, there are 4 square corners on the shape which implies 4 right angles. This confirms that our shape is a rectangle since only a rectangle has 2 pairs of two parallel sides and 2 pairs of sides that are the same length there are 4 square corners.

So, the patio is a rectangle.

These are questions about triangles. The teacher has already done one but I don’t know how to do the rest. Please help me! :(

Answers

Step-by-step explanation:

To help you, Remeber the SOHCAHTOA rule

When It asked to find sin, cos, tangent of a angleIf you finding the sin of a angle you must find the side that is Opposite then put it over the hypotenuse I'll do 3,6,7,8 for you.

For 3,The side that is opposite of c is 28 and the hypotenuse (which is the longest side of the triangle) is 35. So the answer is 28/35. or 4/5.

For 6, 32 is opposite of A and 40 is the hypotenuse so

32/40 or 4/5 is our answer.

For 7, 24 is opposite of Z and 40 is the hypotenuse so

24/40 or 3/5 is the answer.

For 8, 14 is opposite of Angle C and 50 is our hypotenuse so

14/50=7/25 is our answer

COS

To find cos it is adjacent/hypotenuse

For 2 the adjacent side to C is 16 and the hypotenuse is 34. so our answer is 16/34 or 8/17.

For 5, the adjacent side is 30 and the hypotenuse is 34 so our answer is 30/34 or 15/17

For 9, the adjacent side is 24 and hypotenuse is 30 so our answer is 24/30 or 5/6.

TAN

TO FIND TAN, it is Opposite/Adjacent

4, the opposite side is 32 and the adjacent is 24 so our answer is 32/24 or 4/3.

10, the opposite side is 27 and the adjacent is 36 so our answer is 27/36 or 3/4

Solve for b to the nearest hundredth:

74b + 47 = 29
A. -.96

B. -.24

C. 1.03

D. 4.17

Answers

The right answer is B (b=-0.243)

If Z3 and 25 are adjacent and
supplementary, what reason could support
the following statement?
Statement
23+ 25 = 180°
Reason
[?]

Answers

Being supplementary angles

HELP ASAP will give brainlist

Answers

You use 360 and then minus other numbers

im just looking for 25/4 (that's a fraction) divided in 3.

Answers

Answer: 2.083
Have a good day :D

Answer:

[tex] \frac{25}{12} [/tex]

Step-by-step explanation:

1) Use this rule: a ÷ b/c = a × c/b.

[tex] \frac{25}{4} \times \frac{1}{3} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{25 \times 1}{4 \times 3} [/tex]

3) Simplify 25 × 1 to 25.

[tex] \frac{25}{3 \times 4} [/tex]

4) Simplify 3 × 4 to 12.

[tex] \frac{25}{12} [/tex]

Therefor, the answer is 25/12 and in decimal form it would be, 2.083333.

Does anyone know what the rule for the 2 and 3 table could be

Answers

Answer:

table 2= could be multiply each of the numbers by 4

table three= plug the x value in the equation and the y into the equation and then just solve it and make sure you add eight before you put your answer in.

Step-by-step explanation:

PLEASE Can someone plz help me

Answers

9514 1404 393

Answer:

  $11,988

Step-by-step explanation:

A graphing calculator gives you the answer easily.

The minimum unit cost is $11,988.

__

The equation for unit cost can be put into vertex form to find the minimum.

  C(x) = 0.7x^2 -210x +27738

  C(x) = 0.7(x^2 -300x +150^2) +27738 -0.7(150^2)

  C(x) = 0.7(x -150)^2 -11,988

This is vertex form:

  C(x) = a(x -h)^2 +k . . . . . . . where (h, k) is the vertex.

The vertex of this cost function is (150, 11,988).

The minimum unit cost occurs when 150 engines are produced. That unit cost is $11,988.

Answer:

the answer is $11,988

Step-by-step explanation:

:)

What is the product?
(9t - 4)(-9 t - 4)

negative 81 t squared minus 16
negative 81 t squared + 16
negative 81 t squared minus 72 t + 16
negative 81 t squared + 72 t + 16

Answers

Negative 81t squared + 16

hope this helps!!

Answer:

The product is  -81 t² + 16

Step-by-step explanation:

The product of two binomials (ax + b)(cx + d), where a, b, c, and d are constant

Multiply (ax) by (cx) ⇒ 1st × 1st

Multiply (ax) by (d) and (b) by (cx) ⇒ ext-reams and nears

Add the two products ⇒ like terms

Multiply (b) by (d) ⇒ 2nd × 2nd

Let us find the product of (9 t - 4) and (-9 t - 4)

Multiply the 1st two terms

∵ (9 t)(-9 t) = -81 t²

Multiply the ext-reams

∵ (9 t)(-4) = -36 t

Multiply the nears

∵ (-4)(-9 t) = 36 t

Add the like terms

∵ -36 t + 36 t = 0

Multiply the 2nd two terms

∵ (-4)(-4) = 16

Write the answer

∴ (9 t - 4)(-9 t - 4) = -81 t² + 0 + 16

∴ (9 t - 4)(-9 t - 4) = -81 t² + 16

The product is  -81 t² + 16

Lin and Kal's ages add up to 41 Lin is 5 years older than Kal. Use the equation from the to find their ages.​

Answers

Kal is 18 Lin is 23 divide then subtract

PLEASE HELP!!!!! AND HURRY TIMED!
Which method correctly solves the equation using the distributive property?

Negative 0.2 (x minus 4) = negative 1.7
Negative 0.2 (x minus 4) = negative 1.7.
Negative 0.2 x minus 4 = negative 1.7.
Negative 0.2 x = 2.3. x = negative 11.5.

Negative 0.2 (x minus 4) = negative 1.7.
x minus 4 = 0.34. x = 4.34.

Negative 0.2 (x minus 4) = negative 1.7.
Negative 0.2 x + 0.8 = negative 1.7.
Negative 0.2 x = negative 2.5. x = 12.5.

Negative 0.2 (x minus 4) = negative 1.7.
Negative 0.2 x minus 0.8 = negative 1.7.
Negative 0.2 x = negative 0.9. x = 4.5.

Answers

Answer:

Negative 0.2 (x minus 4) = negative 1.7.

Negative 0.2 x + 0.8 = negative 1.7.

Negative 0.2 x = negative 2.5. x = 12.5.

Step-by-step explanation:

i believe thats the correct anwser

Answer:

its c

Step-by-step explanation:

on egde

Someone help me with this

Answers

Answer:

And it was not the first time that a lot of the people to a new report by a single limited few single few group an

Step-by-step explanation:

I have been using the address of the most important thing to remember is that you have the right to be able to use the same time as I thing

Select the expression that is equal to –10(4x – 5).

Answers

Answer:

-2 (20x - 25)

Step-by-step explanation:

Answer:

40x - 50

Step-by-step explanation:

10(4x)= 40x

10(-5)= - 50

40x - 50

find the number ( x - 2 ) less than 4x + 5y

Answers

Answer:

3x + 5y + 2

Step-by-step explanation:

Given:

4x + 5y - ( x - 2 )

Find:

Subtract value

Computation:

4x + 5y - ( x - 2 )

4x + 5y - x + 2

3x + 5y + 2

Write the equation of a line in slope-intercept form with a slope of 2 and
passes through the point (-3,1)

Answers

Answer:

y = 2x + 1

Step-by-step explanation:

Hope this helps!

Please help will give Brain

Answers

Answer:

5

Step-by-step explanation:

3(x+3)=4(4+2)

3x+9=24

3x=15

x=5

Hope this helps :)

Kendra walked diagonally across a rectangular field that is 45 m by 65 m. To the nearest tenth of a meter, how far did she walk?

Answers

Answer:

?

Step-by-step explanation:

V=pi r ^2 h solve for pi
Pls help me I can’t figure this one out...

Answers

Answer:

pi = V - r^2

Step-by-step explanation:

subtract r^2 from both sides !!!

I need help on this please!

Answers

Answer:

H, G, F, E

Step-by-step explanation:

If it isn't it's G, H, F, E

Hope this helps

I need this ASAP What is the image of the point (-7,-3) after a rotation of 180 counterclockwise about the origin?

Answers

Is there a picture cause I need it

The coordinates of the image after a rotation of 180° counterclockwise about the origin is A' ( 7 , 3 )

What is Rotation?

The measure of the amount a figure is rotated about the center of rotation is called the angle of rotation. The angle of rotation is usually measured in degrees. We specify the degree measure and direction of a rotation.

90° clockwise rotation: (x,y) becomes (y,-x)

90° counterclockwise rotation: (x,y) becomes (-y,x)

180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

270° clockwise rotation: (x,y) becomes (-y,x)

270° counterclockwise rotation: (x,y) becomes (y,-x)

Given data ,

Let the coordinate of the point be A

Now , the value of A is A ( -7 , -3 )

And , 180° clockwise and counterclockwise rotation: (x, y) becomes (-x,-y)

So , the coordinates of the image is A'

And , the value of A' = A' ( 7 , 3 )

Hence , the rotation is solved and the image is A' ( 7 , 3 )

To learn more about rotation click :

https://brainly.com/question/3956347

#SPJ2

Which of the following equations corresponds to the graph below

Answers

Answer:

d) y = -1/2 + 3

Step-by-step explanation:

Looking at the graph, we can use y = mx + b to find the equation. m is the slope and for slope, we go 1 unit down and 2 units to the right. b is the y variable and our b would be 3.

y = mx + b

y = -1/2x + 3

Hope this helps and stay safe, happy, and healthy, thank you :) !!

Please help with this!

Answers

Answer:

Expression is 2(l+w)

Step-by-step explanation:

l is length and w is width

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