Express the solution graphically of – }(2x + 1) < 3.

Express The Solution Graphically Of }(2x + 1) &lt; 3.

Answers

Answer 1

Answer:

The third one counting from the top.

Step-by-step explanation:

We have the inequality:

(-1/3)*(2x + 1) < 3

The first thing we need to do is isolate x on one side of the inequality.

First we can by -3 in both sides of the inequality, and remember, because we are multiplying by a negative number, the inequality sign changes its direction:

(-3)*(-1/3)*(2x + 1) > 3*(-3)

(2x + 1) > -9

Now we can subtract 1 in both sides:

2*x + 1 - 1 > -9 - 1

2*x > -10

Now we can divide by 2 in both sides:

2*x/2 > -10/2

x > -5

Then we should see a number line such that all the points at the right of -5 are colored.

The correct option is the third one, counting from the top.


Related Questions

The coaches at Dobie High School recorded the number of miles ran by various students. What is the difference between the number of students who ran 2 and a half or three miles and the number of students who ran one or one and a half miles?

Answers

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as a table or chart that shows the required data is not given.

To answer this, I will make use of the following frequency table

[tex]\begin{array}{cccccc}{Miles} & {1} & {1\frac{1}{2}} & {2} & {2\frac{1}{2}} & {3} \ \\ {Students} & {10} & {0} & {5} & {10} & {5} \ \end{array}[/tex]

From the above table.

[tex]2\frac{1}{2}\ miles \to 10\ students[/tex]

[tex]3\ miles \to 5\ students[/tex]

So:

[tex]2\frac{1}{2}\ or\ 3\ miles = 10+5[/tex]

[tex]2\frac{1}{2}\ or\ 3\ miles = 15\ students\\[/tex]

From the above table.

[tex]1\ miles \to 10\ students[/tex]

[tex]1\frac{1}{2}\ miles \to 0\ students[/tex]

So:

[tex]1\frac{1}{2}\ or\ 1\ miles = 0+10[/tex]

[tex]1\frac{1}{2}\ or\ 1\ miles = 10\ students[/tex]

The difference (d) is then calculated by subtracting the number of students in both categories

[tex]d = 15\ students - 10\ students[/tex]

[tex]d = 5\ students[/tex]

Can someone help me with this

Answers

Answer:

C

Step-by-step explanation:

1. Absolute values are in the shape of a V, so the answer is automatically C.

2. If you did not know that, you can see that the graph is a function because it passes the vertical line test. This rules out option A. By looking at the graph, you can see it passes the x-axis twice, meaning that it has 2 x-intercepts. This rules out option B. X-intercepts always have a y-coordinate of 0, so we can rule out option D. The only option left after this is C.

The answer is going to be C :)

b) Assume that 80 persons die, and 250 babies are born around the world each minute. how many more/fewer humans do you expect there to be on Earth at the end of 2021? Show your work. (population growth rate=birth rate – death rate (assuming zero migration)).

Answers

Answer:

ratio 80:250

Step-by-step explanation:

there will be less people than babies

The sixth grade class went to a family fun center. out of the 154 students, 85 played laser tag. A total of 80 students roller skates and 39 of those played laser tag.

Answers

Answer:

Whats the question?

Step-by-step explanation:

Answer:

What’s the question for the problem?

Obtuse can have right angles.
True or False

Answers

False. Obtuse is always greater than 90°.

Answer:

False

Obtuse triangles can't have right angles

Please help







Thanks I really need help and appreciate it

Answers

Answer:

umm can you tell us the options then I can say what the answer is and I'll edit or put it in the comments

Step-by-step explanation:

have a good rest of your day tho :) ❤

HELLLLLPPPPPP MEEEEEE PLLLLEAAAASSEEEEW!!!!

Answers

3. primal. 4. venture. 5. venture

On a scale drawing, the height of a tree is 3.75 inches. If the scale of the drawing is 1 in. : 50 ft, how tall is the tree?

HINT: Write and solve a proportion. You will compare 1 in to 50 feet and then determine how many feet 3.75 inches would be. REMEMBER: When writing your proportion, be sure that whichever (inches or feet) is on top and bottom of one ratio, it is in the same position (top or bottom) on other ratio.

Answers

Not sure if this is right but I would multiply the 3.75 inches by 50=187.5

A trader made a profit of 24% by selling an article for #372 how much should he have sold it to make a profit of 48%

Answers

Answer: #444

Step-by-step explanation:

First find the original selling price of the article.

When sold for #372 the profit was 24%. Assume the original price is x.

372 = x + 24% * x

372 = 1.24x

x = 372 / 1.24

= #300

If he wanted to make a profit of 48% he should have sold for:

= Original price + (original price * 48%)

= 300 + (300 * 48%)

= #444

Shown below is a jar which is in the shape of a right circular cylinder. What is the length of the longest stick that could fit in this jar (without bending or breaking the stick and with no part sticking out)?

Answers

Answer:

14.14

Step-by-step explanation:

please find attached a diagram showing the stick and the jar

the length of the longest stick can be determined using Pythagoras theorem

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

10² + 10²

100 + 100 = 200

determine the square root of 200

= 14.14

I need this answered quick alot of points on the line here 2 pictures down below

Answers

Answer:

1.x=10 and x=−2.

2. the answer is x=7,-1

3.=3, =1

Step-by-step explanation:

1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.

2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.

3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2

Can someone help me ?? I’ll give Brainliest

Answers

Answer: All I'm seeing is a blank screen I'm sorry can you try it again?

Answer:

nice black screen i like it

math question 30 points if you answer

Answers

Answer:

Step-by-step explanation:

h(t) = - 16t² + 22t + 6

h = 13.5625 ft

Help meeeeeeeeeeeeee

Answers

Answer:

36.87( round if needed(

Step-by-step explanation:

we know a side adjacent to the angle and opposite of the angle so we apply tangent function

[tex] \tan(x) = \frac{3}{4} [/tex]

[tex] \tan {}^{ - 1} ( \frac{3}{4} ) = 36.87[/tex]

Round if neededd

A cube has side length of 1 meter. Determine the volume of the cube. Include all of your calculations in your final answer.

Answers

Answer:

look at the picture i sent......

7y - 9 = 2(y - 4) + 1​

Answers

Answer:

Step-by-step explanation:

Distribution comes first, so:

7y-9 = 2y-8+1

Then you simplify:

7y-9 = 2y-7

Then you subtract or add the lowest number with a letter:

5y-9 = -7

Now you get 5y alone, so we add the 9:

5y = 2

Then you divide 5y = 2 by 5

y = 2/5 or .4

for the bud to see... and one person to get poi.nts XD
so addison got banned yesterday but got her account back today and then drake got banned today

Answers

Answer:

WHAT!? THEY BOTH GOT BANNED?! HOW

solve for x. enter you answer below as a fraction ​

Answers

Answer:

x=9/80

Step-by-step explanation:

Answer:

9/80

Step-by-step explanation:

[tex]1)\ x + \frac{9}{20} = \frac{9}{16}[/tex]

[tex]2)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]3)\ x = \frac{9}{16} - \frac{9}{20}[/tex]

[tex]4)\ x = \frac{45}{80} - \frac{36}{80}[/tex]

[tex]5)\ x = \frac{9}{80}[/tex]

Find the solution of the system of equations.

-2x-6y=8
-6x-6y=0

Answers

x=-7
y=7

First solve for x in -2x-6y=8, and you will get -7. Then plug -7 into x for -6x-6y=0 and you will get 7.

Find the area of the regular nonagon

Answers

Answer:

267.3

Step-by-step explanation:

area of a regular polygon =

(perimeter * apothem)/2

perimeter: 9 * 6.6 = 59.4

area: 59.4 * 9 = 534.6

534.6/2 = 267.3

area = 267.3


14 In a book, 98% of the pages contain text, diagrams on both. If 88% of the pages
contain text and 32% contain diagrams, what percentage contain

a.neither text nor diagrams
b. only diagrams
c.only text
d.both text and diagrams?​

Answers

Answer:

2%

10%

66%

22%

Step-by-step explanation:

For the first one we just need to find the compliment of the union (.98) which is .02

Union formula:

A∪B=A+B-A∩B

We will let T= text and D= diagram

we know that

.98=.88+.32-T∩D

Solve and find that T∩D= .22

Only diagram: .32-.22= .1

Only text: .88-.22= .66

Text and diagrams is the intersection we found earlier or .22

slove the system of substitution


y=x-8

y=2x-4

Answers

Answer:

x + y = 4 ,  x − y = 2

x + 2 y = 4 ,  x − y = − 3

x 2 − y = 2 ,  2 x − y = − 1

Step-by-step explanation:

Answer:

x=-4

Step-by-step explanation:

x-8=2x-4

+8        +8

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

x=2x+4

-2   -2

-----------

-x=4

-1    -1

----------

x=-4

Solve the system using
the elimination method.
(3x + 4y = 6
<
(2x + 3y = 3

Answers

Answer:

[tex]3x + 4y = 6 - - - (a) \\ 2x + 3y = 3 - - - (b) \\ 2 \times (a) - 3 \times (b) : \\ = > 0x - y = 3 \\ y = - 3 \\ 2x - 9 = 3 \\ 2x = 12 \\ x = 6 \\ { \boxed{x = 6}} \\ { \boxed{y = - 3}}[/tex]

What is the total surface area of a dog food can which has a diameter of 5 inches and a height of 7
inches?

Answers

Answer:

35.................

The perimeter of a rectangle is 48cm. its length is 4 cm. what is its width?

Answers

Answer:

P = 48

4 + 4(two given lengths) = 8

48(perimeter) - 8(length of two given lengths) = 40(length of two unknown sides)

40(length of two unknown lengths) divided by 2(two missing sides) = 20 cm

beau completed 2/5 of his science project on Friday and 1/3of the project on Saturday what fractional part of his project did she complete during these two days​

Answers

Answer:

beau completed 2/5 of his science project on Friday

beau completed 1/3 of his science project on Friday

Now

he completed during these two days=1/3+2/5=11/15 part of his project

Find the scale factor of a model train if the scale is 1 inch = 4 feet.

Answers

Answer:

1

Step-by-step explanation:

The scale factor is 1:48

4 feet = 48 inches, so 1:48

The scale shown is not balanced.

Drag base ten blocks to the box to show the amount that x needs to be to balance the scale.

HELP PLEASEEEEE

Answers

Answer:

1 (100block)

5 (10block)

3 (1block)

Step-by-step explanation:

221-68=153

1x100=100

5x10=50

3x1=3

The amount that x = 53 needs to be to balance the scale.

What is an equation?

The term "equation" refers to a pair of algebraic expressions with the same value and the sign "=" in between.

We have an equation,

221 = x + 68

x = 221 - 68

x = 153

In 153,

1 is in place of hundred 100, 5 is in the place of 10 so, 50.

Therefore, x = 53 is the amount that needs to be to balance the scale.

To learn more about the equation;

https://brainly.com/question/12788590

#SPJ2

Quinn has a savings account with a balance of
$84.50. He withdraws $32.85, deposits $72.30,
and then withdraws $3.95. If Quinn gives his
brother 1/4 of his savings, how much does he
give his brother?

Answers

Aaron wants to know how much he needs to save each month in his savings account to have a certain amount in the future. He should use the formula for present value of a periodic deposit investmen


Find the value of x in the given
right triangle.
12
x = [?]°
х
5
Enter your answer as a decimal rounded to the
nearest tenth.

Answers

Answer:

65°

Step-by-step explanation:

to find angles, use the inverse trig function (in this case, tan^-1)

tan^-1(5/12)

Answer:

65.4

Step-by-step explanation:

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