Select all the correct answers.
Which values are included in the solution set of this inequality?
2.12 – 1 > 61
I = -4
I = 3
0 1 = 1
o = 5
O r = -2

Select All The Correct Answers.Which Values Are Included In The Solution Set Of This Inequality?2.12

Answers

Answer 1

Answer:

Option A, Option D and Option E are correct options.

Step-by-step explanation:

We need to find solutions of the inequality: [tex]2x^2-1>6x[/tex]

We will check the options and see, which options satisfy the inequality.

Option A

x=-4

Put x=-4

[tex]2x^2-1>6x\\2(-4)^2-1>6(-4)\\2(16)-1>-24\\32-1>-24\\31>-24\:\:True[/tex]

So, x=-4 is the solution of inequality.

Option B

x=3

Put x=-3

[tex]2x^2-1>6x\\2(3)^2-1>6(3)\\2(9)-1>18\\18-1>18\\17>18\:\:False[/tex]

So, x=3 is not the solution of inequality.

Option C

x=1

Put x=1

[tex]2x^2-1>6x\\2(1)^2-1>6(1)\\2(1)-1>6\\2-1>6\\1>6\:\:False[/tex]

So, x=1 is not the solution of inequality.

Option D

x=5

Put x=5

[tex]2x^2-1>6x\\2(5)^2-1>6(5)\\2(25)-1>30\\50-1>30\\49>30\:\:True[/tex]

So, x=5 is the solution of inequality.

Option E

x=-2

Put x=-2

[tex]2x^2-1>6x\\2(-2)^2-1>6(-2)\\2(4)-1>-12\\8-1>-12\\7>-12\:\:True[/tex]

So, x=-2 is the solution of inequality.

So, Option A, Option D and Option E are correct options.


Related Questions

Help me with this is pls I’ll give Brainly if correct

Answers

Answer:

Alrighty so number one is 5 z (x + 2y), and number two is 13x + 19y - 34z

the first one is 5z(x+2y)
the second one is 13x+19y-34z

Tell whether the sequence is arithmetic. If it is, what is the common difference?
-12, -7,-2, 3,...
yes: 5
yes; 8
yes; 3
no

Answers

Answer:

yes: 5

Step-by-step explanation:

A bookstore manager marks down the price of older
hardcover books, which originally sell for b dollars, by
34%. What is the sale price of a hardcover book for which
the original price was $47.00?

Answers

Answer:

$31.02

Step-by-step explanation:

Find the amount of the discount:

47 x 0.34 = 15.98

Subtract the discount from the original price:

47 - 15.98 = 31.02

Melvin drinks 2 liters of water every day. There are approximately 29.6 milliliters in 1 fluid ounce. Which measurement is closest to the number of fluid ounces in 2 liters?a.67.56 fl ozb.135.0 fl ozc.43.35 fl ozd.112 fl oz

Answers

Answer:

A

Step-by-step explanation:

In 2 liters there are 67.628 fluid ounces. 67.56 is the closest to that answer.That is why A is the answer

Please help!!
I really need it
Will mark brainliest

Answers

Answer:

The last one and the second one

Step-by-step explanation:

write an equation in point slope form for the line through the given point and given slope ( -7 , 9) ; m = 4/5

Answers

y = 4/5x + 73/5 is an equation

i need help with this solve for x -7x+7=2x-11

Answers

Answer:

x=2

Step-by-step explanation:

You notice that on the days when you are off from school, you read more. What does this illustrate?
coefficients
causation
relationships
correlation

Answers

Answer:

correlation

Step-by-step explanation:

I took the quiz

1. Find the missing angle measure and side length.
В
B
9 ft
48°
A
MZA =
48°)
AC =
С

Answers

Answer:

angle A = 84 degrees

AC = 9 ft

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

The correct answer is 9 feet please give me brainlest let me know if it’s correct or not okay thanks bye

A certain SUV typically gets 20 miles to a gallon of gas. If odometer on the car indicates that the car has traveled 68,080 miles, how many gallons of gas has this SUV used?

Answers

Answer:

3,404 gallons

Step-by-step explanation:

68,080/20=3,404

what is the slope of the line that passes through the point A (-4,3) and B (-2,-5)

Answers

Answer:

-1

Step-by-step explanation:

use the slop intercept formula: y2 - y1 / x2 - x1. -5 is y2, -2 is x2, 3 is y1, and -4 is x1.

(-5 - 3) / (-2 - (-4))

-8 / (-2 + 4)

-8/2

-4

The slope is -4. I hope this helps!

PLEASE HURRY!! Find the inequality represented by the graph

Answers

Answer:

The inequality represented by the graph is y >  [tex]\frac{1}{2}[/tex] x + 2

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

m is the slope of the lineb is the y-intercept (value y at x = 0)

The rule of the slope is m = [tex]\frac{y2-y1}{x2-x1}[/tex] , where

(x1, y1) and (x2, y2) are two points on the line

From the given figure

∵ The line passes through points (0, 2) and (2, 3)

∴ x1 = 0 and y1 = 2

∴ x2 = 2 and y2 = 3

→ Substitute them in the rule of the slope above

∵ m = [tex]\frac{3-2}{2-0}[/tex] = [tex]\frac{1}{2}[/tex]

m =  [tex]\frac{1}{2}[/tex]

→ b is the value of y at x = 0

∵ At x = 0, y =2

b = 2

→ Substitute the value of m and b in the form of the equation above

∵ y =  [tex]\frac{1}{2}[/tex] x + 2

The equation of the line is y =  [tex]\frac{1}{2}[/tex] x + 2

∵ The line is dashed

∵ The shaded area is over the line

The sign of inequality is >

→ Replace = in the equation by >

y >  [tex]\frac{1}{2}[/tex] x + 2

The inequality represented by the graph is y >  [tex]\frac{1}{2}[/tex] x + 2

17. If a + b = c, which of the following statements is true?
A b - c = a
B a - c = b
C c-a = b
D c + b = a.

Answers

Answer:

c: c-a = b

.................

Answer:

c ...........................

Guys pls help me?!!!!!! With a.

Answers

Answer: I do not comprehend

Step-by-step explanation:

Answer:

I think it is 5.50 not sure but I hope this helps.

Step-by-step explanation:

What is the slope and y intercept of the graph?

Captionless Image slope = 1 y-intercept = 2 slope = 1/2 y-intercept = 2 slope = 2 y-intercept = 1 slope = 2 y-intercept = -2

Answers

Answer:

y-intercept = 2

slope = 1

Step-by-step explanation:

each time the graph point goes up 1 over 1 giving you the fraction 1/1 which = 1

if you go straight to the point where the line crosses over the y line you'll see that it passes over 2 that's why the y-intercept is 2

following both of these rules that's how you get the y-intercept of 2 and the slope of 1

Answer:

hey

Step-by-step explanation:

Keshia is having a birthday party . Her mom gave her 30 dollars to purchase items for her birthday she bought 16 hats and 16 bags . Each party has cost 0.70 each and each bag cost 0.35 each . How much did Keisha have left after the purchase

Answers

Answer:

$11.20 per hat.

and $5.60 per bag

Keisha has $13.20 left over

Step-by-step explanation:

First, I multiplied .70 by 16 and got 11.20 per hat

Then, I multiplied .35 by 16 and got 5.60 per bag

Lastly, I added 11.20 to 5.60 and got 16.80, and subtracted 16.80 from  30 and got 13.20.....

What is the answer to this question

Answers

i believe the answer is 220 not sure though

Kerry walks 3 miles each day. How far will she walk in 7 days?

Answers

Answer:

21 so yea         give it a like bc why not lolz

helllppppppppppppppppppppppp solve for x

Answers

Answer:

X+6 = 36 then find the ans

What is the inequality shown?
will mark brainliest​

Answers

Answer:

6

Step-by-step explanation:

When you come from -3 to -6 the inequality becomes -6 if you are having troble with this, I should check out an inequality caculator

Need help with math pls help me will mark brainiest.

Answers

Answer:

The slope is [tex]\frac{-1}{3}[/tex].

Step-by-step explanation:

Math Vocabulary            Values

Vertical Change                 -1

Horizontal Change             3

Slope                                   [tex]\frac{-1}{3}[/tex]

Solve. (-6 - 4) = (-5) = =​

Answers

Answer:

the answer is written like this if I'm not wrong (-6-4)=-(5)

Step-by-step explanation:

firt we are going to see if simplification is needed here its not so we will do it like this

--=+

+-=-

so -10=5

10÷5

2 is your answer

Solve for x:
3(x - 2)= -9

I NEED TO KNOW HOW TO DO THE WORK FOR IT!!

PLEASE URGENT WILL GIVE BRAINELES WORK ONLY FOR IT PLS

Answers

Answer:

3 × X = 3x

3 × -2 = -6

3x - 6 = -9

-9 + 6 = -3

3x= -3

x= -1

Answer:

x=-1

Step-by-step explanation:

3(x-2)=-9

3x-6=-9

3x-6+6=-9+6

3x=-3

3x = -3

3       3

x=-1

slove this problem with the quadratic equation x^2-22x=75

Answers

Answer:

[tex]x=(+-)\sqrt{97}[/tex]

Step-by-step explanation:

the parenthesis with the plus and minus is when the plus is on top and the minus is underneath.

Due in 11 minutes please help me ASAP

Answers

Answer: (d)

Step-by-step explanation:

Given

No of tickets sold can be given by the equation

[tex]35x-260>1000[/tex]

Solving inequality

adding 260 on both sides

[tex]35x-260+260>1000+260\\35x>1260[/tex]

Now, divide the inequality by 35

[tex]x>\frac{1260}{35}\\x>36[/tex]

Thus artist need to sell a minimum of 37 tickets to earn more than $1000

Which equation does the graph of the systems of equations solve?
a) -1/3x+1=-2x-4
b) 1/3x+1=-2x-4
c) 1/3x+1=2x-4
d) -1/3x-1=-2x-4

Answers

Answer:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Step-by-step explanation:

From the given graph, it is clear that the two lines meet at the point (3, 2).

In other words,

at x =3, y = 2

Thus,

The point of intersection between two lines is:

(x, y) = (3, 2)

Here:

x = 3 is the value of the x-coordinate

y = 2 is the value of the y-coordinate

Now, checking the equation i.e. 1/3x+1=2x-4 to determine whether the equation contains the correct value of x-coordinate or not.

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

Subtract 1 from both sides

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

Simplify

[tex]\frac{1}{3}x=2x-5[/tex]

subtract 2x from both sides

[tex]\frac{1}{3}x-2x=2x-5-2x[/tex]

Simplify

[tex]-\frac{5}{3}x=-5[/tex]

Multiply both sides by 5

[tex]3\left(-\frac{5}{3}x\right)=3\left(-5\right)[/tex]

Simplify

[tex]-5x=-15[/tex]

Divide both sides by -5

[tex]\frac{-5x}{-5}=\frac{-15}{-5}[/tex]

Simplify

[tex]x=3[/tex]

Therefore, the value of x = 3

Conclusion:

We conclude that option 'C' i.e. 1/3x+1=2x-4 is the correct option.

Find the value of x.
(x - 12)
(x + 2)°
(4x - 80)

Answers

Answer:

vvvvvvvvvvvvvv

Step-by-step explanation:

Which piece of information is pull prove a parallelogram is not a rectangle

A. The diagonals are congruent

B. Of the angles, 2 measure 100, and 2 measure 80

C. The consecutive angles are supplementary

D. The opposite sides are congruent

Answers

Answer:

D. The opposite sides are congruent

Simplify the expression.
2.5x + 4.3x - 5

A: 1.8x - 5
B: 6.8x + 5
C: 8x - 5
D: 11.8x

Answers

Answer:

6.8x - 5

Step-by-step explanation:

To answer this question I combined like terms:

(2.5x + 4.3x) - 5

2.5x + 4.3x = 6.8x

Then you add the 5 to the end of the expression:

6.8x - 5

y=(x-2)+1 (convert into slope intercept form)

Answers

Answer:

I believe your answer is y=x-1.

Step-by-step explanation:

I hope this helps you!

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