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

Y=(x-3)(x+5) in general form

Answers

Answer:

here is your answer

x²-9

10 points!! Can yo7 say the answer and explain it I will give brainleest

Answers

Answer:

Can you add if you can add you have to add up every thing and the answer will be

The following figure shows \triangle ABC△ABCtriangle, A, B, C with side lengths to the nearest tenth. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Triangle ABC. Side AC measures 8 units and side BC measures 15 units. Angle B is 28 degrees. Find m\angle Am∠Am, angle, A. Note that m\angle Am∠Am, angle, A is acute. Round to the nearest degree.

Answers

Answer:

62

Step-by-step explanation:

Khan Academy. I got this correct, so trust me :)

The measurement of the angle A for the considered triangle is found being of 62° approximately.

What is law of sines?

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

[tex]\dfrac{sin\angle A}{a} = \dfrac{sin\angle B}{b} = \dfrac{sin\angle C}{c}[/tex]

Remember that we took

[tex]\dfrac{\sin(angle)}{\text{length of the side opposite to that angle}}[/tex]

For the considered triangle, we can use sine rule.

In triangle ABC, we're given that:

|AC| = 8 units|BC| = 15 unitsm∠B = 28°m∠A = ?° (to be found)

The side opposite to angle A is BC and the side opposite to angle B is AC. Thus, by sine law, we get:

[tex]\dfrac{\sin(m\angle A)}{|BC|} = \dfrac{sin(m\angle B)}{|AC|}\\\\\dfrac{\sin(m\angle A)}{15} = \dfrac{\sin(28^\circ)}{8}\\\\\sin(m\angle A ) \approx \dfrac{15 \times 0.46947}{8} \approx 0.88026\\\\m\angle A \approx \sin^{-1}(0.88026)\\\\m\angle A \approx 61.67^\circ, 118.32^\circ[/tex]

But since angle A is acute(angle with measure of less than 90 degrees), thus, m∠A ≈ 61.67° ≈ 62°

Thus, the measurement of the angle A for the considered triangle is found being of 62° approximately.

Learn more about law of sines here:
https://brainly.com/question/17289163

5) help with math question (in photo)

Pls don’t put answer in a link

Answers

Answer:

38.2

Step-by-step explanation:

d^2=1458

d=38.18


D square root = 729+ 729
D square root = 1458
Take the square root from both sides of the equation

D= 27sqrt2
D= -27 sqrt 2

Which of the following would best be solved using completing the square?
5x^2+7x=12
X^2+4x-21=0
x^2=81
2x^3-12x^2+5x-30=0

Answers

Answer Second

Step by step exploration

x^2+4x-21=0
x^2+4x+4-25=0
(x+2)^2-25=0
(x+2)^2=25
X+2=+OR-5
x=-7 or x=3

Which number is rational?
O √2
O π
O √10
O √16​

Answers

Answer: The only rational number in your list is "square 16" - I am assuming you mean square root of 16.
Explanation: Square root of 2 is irrational. This has been proven by the Pythagoreans (there is a simple proof of that).

find the distance.show your work.
intial velocity is 30.20 meter per second and time Is 32.8 second​

Answers

Answer:

990.56

Step-by-step explanation:

because, Distance=velocity× time

hey! i’ll give brainliest please help! thanks

Answers

Answer:

I think it might have been D, becoming a monarch, because he wanted to rule the world I guess.

Step-by-step explanation:

I recommend you put this under history instead of mathematics.

What is the perimeter of this red
polygon?
27 in
22 in
22 in
98 in
[ ? ] in

Answers

Answer:

Entire perimeter = 169in

Step-by-step explanation:

add all the inches up

The perimeter of the polygon drawn is the sum of its entire sides , which is 169 inches.

Given the polygon with the measure of its exterior :

22 inches 98 inches 22 inches 27 inches

The perimeter of the polygon is the sum of the exterior sides of the figure given :

98 + 22 + 22 + 27 = 169 inches

Therefore, the perimeter of the polygon is 169 inches .

Learn more on perimeter : https://brainly.com/question/19819849

#SPJ2

2x + y = 3
x = 3y + 5
subsitution method

Answers

Step-by-step explanation:

2x+y=3

y=3-2x.....eqn (1)

x=3y+5.....eqn(2)

substituting the value of y from eqn 1

x=3(3-2x)+5

x=9-6x+5

x+6x=14

7x=14

x=14/7

x=2

substituting the value of x in eqn 1

y=3-2×2

y=3-4

y=-1

therefore,

x=2

y=-1

Function g can be thought of as a translated (shifted) version of f(x) = 2?.
Write the equation for g(x).
NEED HELP ASAP

Answers

Answer:

g(x)=(x+5)^2

Step-by-step explanation:

the account looks like this, because you invert the sign 5 is negative to the left, so for the result to be negative in the account it has to be positive

g(x)=(x+5)^2

(x+5)^2=0

x+5=0

x=0-5

x=-5

Good Studies!!!

please help me!!!!!!

Answers

6x-8=50

X=9.666666 or 29/3 or 9 and 2/3
Hopes this helps:

Answer: x = 29/3

Please mark as brainlist if it’s right.

What digit is the most frequent between numbers 1 and 1,000(inclusive)?

Answers

Answer:

Total appearances = 9+180+3 = 192. It is obvious that the most frequent digit is 1. Number of digits from 1 to 1000. Total = 2893.

can someone help me ?​

Answers

I am pretty sure the answer is 2 because the arrow is pointing to the left and since it is a open circle it is not an equal to

Answer:

2) x < 3

Step-by-step explanation:

The graph has an open circle (representing the signs < >) and its on the point "3". Since the line is going towards the left, it means x is less than 3. Therefore, the answer is 2) x < 3

Confused bab in need ☹️

Answers

Answer:

25 in^2

Step-by-step explanation:

So the area of a triangle is (Base * Height) / 2. The base, which is where the triangle "sits" is 10 in. The height is 5 in.

With this, these numbers can both be plugged in to get the answer:

(10 * 5) / 2

50/2

25 in^2

It is squared after the units since it is the area.

What would you have to show in order to prove that a quadrilateral is a rectangle?

A. Consecutive sides are congruent, but opposite sides are not.

B. All sides are congruent.

С. Opposite sides are parallel.

D. Consecutive sides have opposite reciprocal slopes.

Answers

Answer:

c

Step-by-step explanation:

If 7x + 3 = 24, what is the value of 5 - 4x?

Answers

Answer:

Step-by-step explanation:

7x + 3= 24

7x= 24-3

7x= 21

x= 21/7

x= 3

Then we have that

5-4x

5-4(3)

5-12

Answer= -7

In AGHI, h = 300 inches, G=30° and H=29º. Find the length of i, to the nearest
inch.

Answers

Given:

In triangle GHI, h = 300 inches, G=30° and H=29º.

To find:

The length of i.

Solution:

We have, G=30° and H=29º.

Using angle sum property, we get

[tex]m\angle G+m\angle H+m\angle I=180^\circ[/tex]

[tex]30^\circ+29^\circ+m\angle I=180^\circ[/tex]

[tex]59^\circ+m\angle I=180^\circ[/tex]

[tex]m\angle I=180^\circ-59^\circ[/tex]

[tex]m\angle I=121^\circ[/tex]

According to Law of sines,

[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]

Using Law of sines, we get

[tex]\dfrac{h}{\sin H}=\dfrac{i}{\sin I}[/tex]

[tex]\dfrac{300}{\sin 29^\circ}=\dfrac{i}{\sin 121^\circ}[/tex]

[tex]\dfrac{300}{0.4848}=\dfrac{i}{0.8572}[/tex]

Multiply both sides by 0.8572.

[tex]\dfrac{300}{0.4848}\times 0.8572=i[/tex]

[tex]530.44554=i[/tex]

[tex]i\approx 530[/tex]

Therefore, the length of i is about 530 inches.

The area of a triangular banner is 64 square feet. The base of the banner is 16 feet long. Write an equation you can use to find the height h of the banner. (Hint: A=1/2bxh)
Write it as an equation.

Answers

The equation would be h=(2A)/b

The system of equations below is consistents with infinity many solutions where a and b are constants.Find the values of a and b. 2x+y=6 ax+by=9

Answers

Answer:

The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.

Step-by-step explanation:

Two linear equations with two variables have infinite solution if and only if they are linearly dependent. That is, one linear equation is a multiple of the other one. Let be the following system of linear equations:

[tex]2\cdot x + y = 6[/tex] (1)

[tex]a\cdot x + b\cdot y = 9[/tex] (2)

The following condition must be observed:

[tex]r = \frac{a}{2} = \frac{b}{1} = \frac{9}{6}[/tex] (3)

After some quick operations, we find the following information:

[tex]r = \frac{3}{2}[/tex], [tex]a = 3[/tex], [tex]b = \frac{3}{2}[/tex]

The values of [tex]a[/tex] and [tex]b[/tex] so that the two linear equations have infinite solutions are [tex]3[/tex] and [tex]\frac{3}{2}[/tex], respectively.

solve the equation for y
1/2y - 21/4 = -35/4

Answers

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

(7 + 5) · 2 - 4² ÷ 8 + 3
what is the answer for this? show work too

Answers

Answer: 0.5

Step-by-step explanation:

You need to use

Brackets

Indices

Division

Multiplication

Addition

Subtraction

7 + 5 =12

12 - 16 = -4

-4 / 8 = -0.5

-0.5 + 3 = 2.5

2.5 - 2 = 0.5

Answer: 4

Step-by-step explanation: 7+5=12

12×2=24

24- (4×4)= 24-16=8

8÷8=1

1+3=4

Help me pls it’s math TwT

Answers

I think its a buy i dont know

6. Nuni Lal borrowed RS. 2400 as a Loan for 5 years at
the rate of 6% per annum. Then immedietly he Lent the
Same amount to Briju Lal for 4 years at the rate of 10 percent
annum. How much profit or loss did nuni lal
make in this transaction. find it?

Answers

Step-by-step explanation:

hope it is helpful to you

having a hard time with this

Answers

Answer:

the correct answer is D

Step-by-step explanation:

because the -9 5/8 is in absolute value marks.

Ms Shepard cuts 1/2 of piece of construction paper. She uses 1/6 of piece of paper to make flower. This means that she used 1/12 of sheet of paper to make the flower. True or false

Answers

Answer:

true

Step-by-step explanation:

subject?

who wants to really help me ill give brainlist and 5.0 and say thanks

Answers

Answer:

Because 5 + 9 = 9 + 5

Step-by-step explanation:

Answer:

Choice a is the correct answer

Step-by-step explanation:

Equalvalent expressions are two expressions that result with the same answer.

pls mark me brainiest

What is the surface area of this figure? Round to the nearest tenth if necessary.
10 ft
12 ft
6 ft
8 ft

Answers

Answer:

336 ft ²

Step-by-step explanation:

Find the area of the two triangles

In this case, both triangles are the same, so we can modify the formula for area of triangle

In the formula, we divide by two, but because we multiply the area by two for the two triangles, we can just use base x height

Triangles = 6 x 8 = 48 ft²

top rectangle = 10x12 = 120 ft²

bottom rectangle = 8x12 = 96 ft²

back rectangle = 6x12 = 72 ft²

Total = 48 ft² + 120 ft² + 96 ft² + 72 ft² = 336 ft²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

A 2.20 x 10-6 F capacitor is hooked
up to a 14.0 V power supply. How
much energy is stored in the
capacitor?

Answers

Answer:

[tex]E=2.15\times 10^{-4}\ J[/tex]

Step-by-step explanation:

Given that,

The capacitance of the capacitor, [tex]C=2.2\times 10^{-6}\ F[/tex]

Voltage of the power supply, V = 14 V

We need to find the energy stored in the capacitor.

The formula for the stored energy in the capacitor is given by :

[tex]E=\dfrac{1}{2}CV^2[/tex]

Put all the values,

[tex]E=\dfrac{1}{2}\times 2.2\times 10^{-6}\times 14^2\\\\E=2.15\times 10^{-4}\ J[/tex]

So, [tex]2.15\times 10^{-4}\ J[/tex] of energy is stored in the capacitor.

A Taste Test ask people from Texas and California which pasta they prefer, brand A or brand B. This table shows the results.

Answers

Answer: Yes, they are independent because P(Texas) ≈0.45 and P(Texas/Brand A)≈0.45

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