What value of x is in the solution set of 9(2x + 1) < 9x - 18?
-4
-3
-2
-1

Answers

Answer 1

Answer:

The only possible answer that is correct is the first one, x = -4.

Step-by-step explanation:

Simplify the given inequality as much as possible, and then substitute each of the given x values one by one to determine which is in the solution set.

9(2x + 1) < 9x - 18 becomes 18x + 9 < 9x - 18, which, if reduced by dividing all four terms by 9, becomes 2x + 1 < x - 2.

Simplifying further, we get x < - 3.  The only possible answer that is correct is the first one, x = -4.  -4 < -3 is true.

Answer 2

Step-by-step explanation:

9(2x + 1)<9x - 1818x + 9 < 9x - 1818x - 9x < - 18 - 99x < 27x = 27/9x = 3.

Related Questions

Which inequality can be used to explain why these
three segments cannot be used to construct a triangle?

Answers

Answer:

Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.

In ΔJKL, KL = 14, LJ = 11, and JK = 4. Which list has the angles of ΔJKL in order from smallest to largest?

Answers

Answer:

m<L, m<K, m<J

Step-by-step explanation:

The angle that sees the longest side length has the biggest measurement

so

for listing the angles from smallest to largest

m<L, m<K, m<J

Answer:K J L

Step-by-step explanation:

What percent is represented by the shaded area?

Answers

86.5%
173/200=(convert to decimal)86.5

What is the solution set of the equation 3x2 = 48 ?​

Answers

Answer:

Step-by-step explanation:

6=48

Gianna bought 6.2 pounds of berries. She used 4.8 pounds of the berries to make a pie. What equation can be used to find how many pounds of berries, b, Gianna has left over? A 6.2 + 4.8 = b
B b − 6.2 = 4.8
C 4.8 + b = 6.2
D b − 4.8 = 6.2

Answers

The answer is C. 4.8+b=6.2

This is because the total amount of berries she bought was 6.2 pounds

She used 4.8 pounds of berries and is left with b amount of berries

If you add the amount of berries used (4.8) to the amount left (b) you will get 6.2 pounds of berries

So the equation you can use to find the amount of berries left is 4.8 + b = 6.2
The answer is c because I had this question

A school cotains 357 boys and 323 girls if a student is chosen at random, what is the probability that it is a girl

Answers

Answer:

[tex]P(G)=0.475[/tex]

Step-by-step explanation:

From the question we are told that:

Number of boys[tex]N_b=357[/tex]

Number of girls [tex]N_g=323[/tex]

Total Number of students

[tex]N_t=N_b+N_g[/tex]

[tex]N_t=680[/tex]

Generally the equation for Probability of Choosing a Girl is mathematically given by

[tex]P(G)=\frac{N_g}{N_t}[/tex]

[tex]P(G)=\frac{323}{680}[/tex]

[tex]P(G)=0.475[/tex]

\frac{1}{cos^{2} x}-(3+\sqrt{3} )tanx-3+\sqrt{3} =0

Answers

Step-by-step explanation:

pls type the question

properly and I swear I will solve it

HELP PLEASEEEE!!!!!!!

Answers

Answer:

The first one with the sequence 0.25,1,4,16

Answer:

the first one

Step-by-step explanation:

What is the correct solution set for the following graph?

Answers

Answer: i do not see a graph

Step-by-step explanation:

PQR is a triangle. PR = 13 cm, PQ = 12 cm and angle QPR = 30°
Calculate the length of QR.

Answers

Answer:

6.55 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, acute, scalene, obtuse, right and equilateral triangle.

Cosine rule is used to show the relationship between sides and angles of a triangle. If a, b, and c are sides of a triangle, while A, B, and C are angles opposite to the corresponding sides. Then:

c² = a² + b² - 2ab*cos(C)

Given that PR = 13 cm, PQ = 12 cm and angle QPR = 30°, hence:

QR² = PR² + PQ² - 2(PR)(PQ)cos(∠QPR)

QR² = 13² + 12² - 2(13)(12)cos(30) = 169 + 144 - 270

QR² = 43

QR = 6.55 cm

please help asap ill give brainliest

Answers

Answer:

is 0.24 yards in the option, becausw i am getting this as my answer

According to the histogram, which interval of time do most students spend on the Internet?

0 - 30 minutes
31 - 60 minutes
61 - 90 minutes
91 - 120 minutes

Answers

Answer:

91 - 120 minutes

Step-by-step explanation:

In a histogram, the bar highest suggests the most common, so most students spend 91 - 120 minutes in this histogram.

Element X is a radioactive isotope such that every 69 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 20 grams, how much of the element would remain after 30 years, to the nearest whole number?

Answers

Answer:

[tex]15\text{ grams}[/tex]

Step-by-step explanation:

Since the mass of the radioactive isotope is halved every 69 years, we want to multiply its initial mass by [tex]1/2[/tex] every 69 years.

We can model this using the following equation:

The remaining mass, [tex]f(x)[/tex], is equal to the initial mass multiplied by [tex]\frac{1}{2}^{(\frac{t}{69})}[/tex], where [tex]t[/tex] is the number of years that have passed from the initial mass. The reason why the exponent is [tex]\frac{t}{69}[/tex] is because we only want to half the mass every 69 years, so [tex]\frac{69}{69}=1[/tex] and [tex]\frac{1}{2}^1=\frac{1}{2}[/tex].

Thus, we have:

[tex]f(x)=20\cdot \frac{1}{2}^{(t/69)}[/tex]

Substituting [tex]t=30[/tex], we get:

[tex]f(x)=20\cdot \frac{1}{2}^{(30/69)}=20\cdot 0.73980522316=14.7961044632\approx \boxed{15\text{ grams}}[/tex]

Las calificaciones de los alumnos en un examen de Estadística han sido: 6, 4, 4, 3, 6, 10, 1, 0, 2, 6 ,6, 8, 5. Calcula su media. Seleccione una: a. 4.6 b. 6.0 c. 5.0 d. 4.7

Answers

it is going dejkeke f fhrjej me birkenhead heineken jejej

Consider the series 1/4+1/6+1/9+2/27+4/81+....


Does the series converge or diverge?


Select answers from the drop-down menus to correctly complete the statements.

Answers

Answer:

The series converges as any two consecutive elements of the sum are monotonically decreasing.

Step-by-step explanation:

The series converges since the consecutive element is monotonically decreasing. That is:

[tex]\forall\,i\in \mathbb{N}\,a_{i} > a_{i+1}[/tex] (1)

Where:

[tex]a_{i}[/tex] - The i-th component of the sum.

[tex]a_{i+1}[/tex] - The (i+1)-th component of the sum.

PLEASE HELP!!


I'll mark brainliest! Please put it neatly so I can see :)

Answers

Answer: you can put it into addition form or multiplication just take the number from that place as the right amount of zeros behind it and you should be good so on 6 it could be 90 or if your suppose to be putting it in multiplication it would be 9x10

Step-by-step explanation:

Answer:

read below

Step-by-step explanation:

decomposed answ:

6. 9*10

7. 4*10

8. 89*10

9. 3*100

10. 7*1000

11. 37*100

decomposition:

12. 56*10

13. 43*100

14. 60*100

The figure represents a doorstop in the shape of a triangular prism. What is the volume of the doorstop in cubic inches?​

Answers

Answer:

7 times 5

35

divided by two

17.5

times 3

52.5 cubic inch

Find all solutions to the equation in the interval [0, 2pie] Enter the solutions in increasing order.
sin 2x = sin x

Answers

Answer:   {0, pi/3, pi, 5pi/3, 2pi}

=============================================

Work Shown:

sin(2x) = sin(x)

sin(2x) - sin(x) = 0

2*sin(x)*cos(x) - sin(x) = 0

sin(x)*(2cos(x) - 1) = 0

sin(x) = 0 or 2cos(x)-1 = 0

sin(x) = 0 or cos(x) = 1/2

Using the unit circle, the solutions to sin(x) = 0 are x = 0, x = pi, x = 2pi

Also, the solutions to cos(x) = 1/2 are x = pi/3, x = 5pi/3

So the entire solution set on the interval [0,2pi] is {0, pi/3, pi, 5pi/3, 2pi} when written in increasing order.

All solutions to the equation in the interval [0, 2[tex]\pi[/tex]]  is  {0, [tex]\frac{\pi }{3}, \pi , \frac{5\pi }{3} ,2\pi[/tex]}.

What is solution to an equation?

A solution is an assignment of values to the unknown variables that makes the equality in the equation true.

As sin2x = 2 sinx cosx,

sin2x = sinx is equivalent to

2 sinx cosx = sinx or 2 sinx cosx − sinx = 0 or

sinx (2cosx − 1) = 0 i.e.

either sinx = 0 and x = 0, π, 2π

or 2cosx − 1 = 0 i.e. cosx = [tex]\frac{1}{2}[/tex] i.e. x = [tex]\frac{\pi }{3} , \frac{5\pi }{3}[/tex]

Hence, solution to an equation is x = {0, [tex]\frac{\pi }{3}, \pi , \frac{5\pi }{3} ,2\pi[/tex]}

Learn more about solution to an equation here

https://brainly.com/question/14603559

#SPJ2

A square pyramid has base edges of 4 cm and a slant height of 10 cm, what is its
surface area?
a. 96 cm2
b. 193 cm2
c. 240 cm2
d. 272 cm

Answers

Answer:

96 cm 2

Option A is the correct answer

Step-by-step explanation:

Please mark me as Brainliest

Which expression is equivalent to 4+2(1+3x)?

a. 24x

b. 6 + 18x

c. 6 + 6x

d. 4 + 8x

ps: any incorrect, irrelevant, plagiarized, or absurd answers will be reported ! sorry for the inconvenience !

Answers

Answer:

6+18x

Step-by-step explanation:

=6(1+3x)

=6×1+6×3x

=6+18x

Hurry I need answers to this problem

Answers

y = 1/3x

This is explained with using rise over run, as the point rises 1 time and moves over 3 times from the y intercept, hence the name. Hope this helps, and makes sense, too!

- Mariana debe tomar dos pastillas; una cada 6 horas y otra cada 9 horas. Si a cierta hora toma las dos pastillas juntas, ¿después de cuantas horas volverá a tomarlas simultáneamente?

Answers

Answer:

Mariana takes the two pills together after 18 hours.

Step-by-step explanation:

Mariana must take two pills; one every 6 hours and another every 9 hours.

She take two pills together. Let she takes the two pills together after t hours at the time when she take initially.

To find the time to take the two pills together, take the least common multiple of 6 and 9.

6 = 2 x 3

9 = 3 x 3

So, the least common multiple is 2 x 3 x 3 = 18

So, she takes the two pills together after 18 hours.

The distance between the parallel lines x – 2y = 3 and 2x – 4y = 12 is

Answers

Answer:

???????????????????????

Step-by-step explanation:

sorry di ko po alam yung sagot pasensiya na po

Given :

Parallel lines are

x – 2y = 3 and 2x – 4y = 12

Step-by-step explanation:

Lets write the given lines in slope intercept form y=mx+b

[tex]x -2y = 3 \\-2y=-x+3\\Divide \; both \; sides \; by -2\\y=\frac{x}{2} -\frac{3}{2}[/tex]

From the above equation , y intercept of first line is [tex]\frac{-3}{2}[/tex]

Solve the second equation for y and find out y intercept

[tex]2x-4y=12\\-4y=-2x+12\\Divide \; by \; -4\\y=\frac{1}{2} x-3[/tex]

y intercept of second line is -3

To find the distance between parallel lines, we subtract the y intercepts

[tex]\frac{-3}{2} -(-3)=\frac{-3}{2} +\frac{6}{2} =\frac{3}{2} =1.5[/tex]

Answer:

The distance between the parallel lines = 1.5

Reference:

https://brainly.com/question/24145911

What is the name of the function f(x)=|x|
A. Linear Function
B. Absolute value Function
C. Quadratic Function
D. Cubic Function

Answers

Answer: B. Absolute value function

Can someone help me? It's urgent and thank you!

Answers

Answer:

12

Step-by-step explanation:

Create a SQUARE pyramid that has a base area of 49 mm2 and a volume of 588mm3. Show the volume calculation.

Answers

Answer:

sorry

Step-by-step explanation:

hindi ko din alam

The record for the largest scoop of ice cream was made in Wisconsin. Thebscoop of ice cream was 3,010 pounds! How many ounces of ice cream is that?

Answers

Answer:

48160

Step-by-step explanation:

Given a room is 14 feet by 16 feet and we have a circular rug with a radius of 4.5
feet, calculate the amount of floor left uncovered by the circular area rug in a
rectangular living room. Show all work.

Answers

The amount of floor left uncovered by the circular area rug is 160.36 ft².

What is the amount of floor left uncovered by the circular area rug?

The first step is to determine the area of the rectangular room.

Area of the rectangular room = length x width

14 x 16 = 224 ft²

The second step is to determine the area of the circular rug.

area of the circular rug = πr²

= 22/7 x 4.5² = 63.64

Now, subtract the area of the rug from the area of the room:

Area left uncovered =  224 ft² -  63.64 = 160.36 ft²

To learn more about the area of a circle, please check: https://brainly.com/question/14351152

Find y.
Round to the nearest tenth:
31°
у
х
400 ft
y = [ ? ]ft

Answers

y equals 240.3 ft. This is because the bottom angle of the triangle is an alternate interior angle to 31 degrees, so it is also 31 degrees. You can then create the equation tan31=y/400. To find y multiply each side by 400 and you’ll get 240.344

Pleasee help me, I might give brainliest to the best answer. I urgently need a answer

Answers

Answer:

1<1.35<2

Step-by-step explanation:

Answer:

1.35 is closer to 1 than 2

So the bag of nuts weighed about 1 pound.

Step-by-step explanation:

The decimal is closer to the whole number 1 when plotted on a number line, so it rounds to 1.

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