Solve the following inequalities by expressing the solution in interval form and on the number line:
a)-9x+7>16+12x
b)18+13x<14x-11
2)a)-3 5/2 - 7/4 . 14/15+(-3/10)²:4/5-2.3/7

Answers

Answer 1

The value of x is from negative infinity to negative 3/7 and 29 to positive infinity.

What is inequality?

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

The inequality equations are given below.

a)  - 9x + 7 > 16 + 12x

b)  18 + 13x < 14x - 11

Then

a)  - 9x + 7 > 16 + 12x

Solving for x, we have

21x < -9

  x < -3/7

The value of x is less than the negative of 3/7.

b)  18 + 13x < 14x - 11

Solving for x, we have

x > 29

The value of x is greater than 29.

More about the inequality link is given below.

https://brainly.com/question/19491153

#SPJ1


Related Questions



The axis of symmetry of a parabola is at x = -2. If one x-intercept is (6, 0),
what is the other x-intercept?

Answers

Check the picture below.

Solve for a... b=5/7(a-11)

Answers

Answer:

[tex]a = \frac{7b}{5} -11[/tex]

The set of all points in space that are the same distance from a center point

Answers

Answer:

circle

Definition: A circle is the set of all points in a plane that are equidistant from a given point called the center of the circle.

Find the following ratios for two similar figures.
If the side ratio is 4:17, then the area ratio is.....?

Answers

16:81 Scale factor for the sides of these triangles.
k
=
4
9
.
Therefore the ratio of area will be:
k
2
=
Area Triangle A
Area triangle B
k
2
=
(
4
9
)
2
=
16
81

Please explain it with EVERY step.

Answers

It’s most likely B.

6, 30, and another number are all factors of 270.

270/4 = 67.5

270/18 = 15

270/24 = 11.25

270/180 = 1.5

As you can see, 18 goes into 270 perfectly 15 times.

1) |x-(-18)| if x<-18
2) |2x| if x<0
3) |x-120| if x<120

Answers

The results of the absolute value expressions are:

|x - (-18)| if x < -18 is greater than 0|2x| if x < 0 is greater than 0|x - 120| if x<120 is greater than 0

How to solve the absolute value expressions

Expression 1:

We have: |x - (-18)| if x<-18

Open the bracket

|x + 18|

If x < -18, then the values of x are above -18 i.e. -19, -20...

This means that: |x + 18| > 0

Hence, |x - (-18)| if x < -18 is greater than 0

Expression 2:

We have: |2x| if x < 0

If x < 0, then the above equation would be greater than 0

Hence, |2x| if x < 0 is greater than 0

Expression 3:

We have: |x - 120| if x<120

If x < 120, then the values of x are less 120 i.e. 119, 118...

This means that: |x - 120| > 0

Hence, |x - 120| if x<120 is greater than 0

Read more about absolute value expressions at:

https://brainly.com/question/3381225

#SPJ1

Which side of a right triangle has the longest length?

Answers

Answer:

hypotenuse

Step-by-step explanation:

A hypotenuse is the longest side of a right triangle. It's the side that is opposite to the right angle (90°)

What is the rage of the data?

Answers

Answer

the range is the spread of your data from the lowest to the highest value in the distribution

Answer:

9

Step-by-step explanation:

To find the range, subtract the biggest number (here it's 9) and the smallest number (here it's 0).

9 - 0 = 9

The two-way table shows the number of games played by a team divided into categories based on whether the team warmed up or not as well as whether they made more shots than they missed during the game.


One of these games is selected at random. For each question, Event A is “game played when warmed up” and Event B is “more shots made than missed.” Use the data to estimate the probabilities.

Answers

The probabilities are: 20/52, 31/52, 651/2704, 14/31

What is Probability?

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one. Probability has been introduced in to predict how likely events are to happen.

given: Event A is “game played when warmed up” and Event B is “more shots made than missed.”

Now, P(A)= 20/52

P(B)= 31/52

P(A and B)= P(A)*P(B)

                 = 20/52*31/52

                  = 651/2704

P(A|B)= 14/52÷31/52

        =14/31

Hence, the probability is: 20/52,31/52,651/2704 and 14/13

Learn more probability here:

https://brainly.com/question/11234923

#SPJ1

Whoever answers first i will mark brainlist

Answers

The answer is A. Hope that helps.
pretty sure that the answer is a

Divide 15/18 by 6 any answers??

Answers

15/18 ÷ 6
= 15/16 ÷ 6/1
Changing the sign(÷) to multiplication (×), you get the reciprocal of 6/1
= 15/16 × 1/6
= 15/96
= 5/32
= 0.15625

Answer:

[tex] \frac{5}{36} [/tex]

Step-by-step explanation:

[tex] \frac{15}{18} \div 6 \\ = \frac{15}{18} \times \frac{1}{6} = \frac{5}{18\times 2} = \frac{5}{36} [/tex]

I’m confused on where you got the numbers from. Did you get them from the amount of full squares each shape takes up?

Answers

A square simply means a shape that has four equal sides and four equal angles.

How to illustrate the square?

Your information is incomplete. Therefore, an overview of a square will be given.

A square is a quadrilateral. It's also a rectangle that has two equal length adjacent sides. The four angles are equal to 90° each and are congruent to each other.

Learn more about squares on:

https://brainly.com/question/25092270

#SPJ1

NEED HELP ASAP 100 POINTS AND BRAINLIEST FOR THE CORRECT ANSWER!!!
Determine the solution to the system of equations graphed below and explain your reasoning in complete sentences.
g(x)=3x+2
f(x)=|x-4|+2

Answers

y=3x+2y=|x-4|+2

As it's already graphed their inetresection point is solution for both functions

Red one is g(x) as it's linearOther one is f(x) as it's modulus

The solution is (1,5)

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations would be where the lines of the two intersect. The point of intersection (based on the graph) is :

(1, 5)

Which is the rational number?

Answers

Answer:

F

Step-by-step explanation:

Evaluating the expression :

√8 × √2√164

4 is clearly a rational number.

Hence, the right option is F.

What is the area of a triangle whose vertices are R(3, 4), S(6, 2), and T(7, 10)?
Enter your answer in the box.

Answers

According to Heron's formula, the area of a triangle whose vertices are R(x, y) = (3, 4), S(x, y) = (6, 2) and T(x, y) = (7, 10) has a value of approximately 14.525 units.

How to calculate the area of a triangle by knowing its sides

In this question we must determine the lengths of the three sides of the triangle by Pythagorean theorem and then the area is determined by Heron's formula.

First, we determine the length of each side:

[tex]RS = \sqrt{(6-3)^{2}+(2-4)^{2}}[/tex]

[tex]RS = \sqrt{3^{2}+(-2)^{2}}[/tex]

[tex]RS = \sqrt{13}[/tex]

[tex]ST = \sqrt{(7-6)^{2}+(10-2)^{2}}[/tex]

[tex]ST = \sqrt{1^{2}+8^{2}}[/tex]

[tex]ST = \sqrt{65}[/tex]

[tex]RT = \sqrt{(7-3)^{2}+(10-4)^{2}}[/tex]

[tex]RT = \sqrt{4^{2}+6^{2}}[/tex]

[tex]RT = \sqrt{80}[/tex]

Now we calculate the area of the triangle by Heron's formula:

[tex]s = \frac{\sqrt{13}+\sqrt{65}+ \sqrt{80}}{2}[/tex]

s ≈ 10.306

[tex]A = \sqrt{10.306 \cdot (10.306 - \sqrt{13})\cdot (10.306 - \sqrt{65})\cdot (10.306 - \sqrt{80})}[/tex]

A ≈ 14.525

According to Heron's formula, the area of a triangle whose vertices are R(x, y) = (3, 4), S(x, y) = (6, 2) and T(x, y) = (7, 10) has a value of approximately 14.525 units.

To learn more on triangles: https://brainly.com/question/2773823

#SPJ1

NEED HELP ASAP!!! What is the sum of the geometric sequence -4, 24, -144, ... if there are 8 terms?

A. -959,781

B. 29,637

C. 26,661

D. 959,780

Answers

Answer:

D

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = - 4 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{24}{-4}[/tex] = - 6 , then

S₈ = [tex]\frac{-4((-6)^{8}-1) }{-6-1}[/tex]

     = [tex]\frac{-4(1679616-1)}{-6-1}[/tex]

     = [tex]\frac{-4(1679615)}{-7}[/tex]

      = [tex]\frac{-6718460}{-7}[/tex]

      = 959,780

The following curves bound an area: y = 2x + 1, y = -3, and x = 3. Set up the integral to find the VOLUME if this area is revolved about the line x = 3. DO NOT EVALUATE.

Answers

First note the intersections of each pair of lines.

x = 3   ⇒   y = 2•3 + 1 = 7   ⇒   (3, 7)

y = -3   ⇒   -3 = 2x + 1   ⇒   x = -2   ⇒   (-2, -3)

y = -3 and x = 3   ⇒   (3, -3)

Using the disk method, we consider disks with thickness ∆y and radius equal to the horizontal distance between the line y = 2x + 1 (or x = (y - 1)/2) and the axis of revolution, x = 3. Each disk will then contribute a volume of

∆V = π (radius)² (thickness) = π/4 (y - 1)² ∆y

As we let ∆y go to zero and let the number of disks go to infinity, the total volume of the resulting cone will be given by the integral

[tex]\displaystyle \frac\pi4 \int_{-3}^7 (y-1)^2 \, dy[/tex]

Susan bought gas for her car,the gas cost 2.79 per gallon susan bought 15.4 gallons,what was the total cost for susans gas

Answers

$42.966 is the total cost

HELP ME PLEASE. I REALLY NEED THIS

Answers

Answer:

girl good luck I cant even do that.

Simplify
1.Cube root of 125 subtract square root of a quarter
2. 1/2+1/4÷(1/3-1/4)
3.(-5)-(-8)-(-7)-(+2)

Answers

Answer:

1- 4.5

2- 7/2 (3.5)

3- 8

Step-by-step explanation:

Select the correct answer.
Maggle is training for a bicycle trip across her home state. She recorded the approximate number of miles she biked during 10 days of training.
The graph shows the data that she recorded as a function of the distance biked over time.
50
40
30
20
10
X
0
4 6
2
8
10
Days
Which function best models the data set?
Miles Biked

Answers

Answer:

B

Step-by-step explanation:

The data shows a positive correlation so the gradient must be positive so B.

Vertical angles are congruent. Find the measure of angle x. X 38 o x = = [?]​

Answers

Answer:

x=38 degrees

Step-by-step explanation:

Vertical angles are congruent. In the image, angle x is vertical to the angle that is given. Therefore, x=38 degrees

The probability that a randomly selected point on the grid below is in the blue area is StartFraction 9 over 16 EndFraction. A grid with 16 squares. 9 squares are shaded blue. Which expression can be used to find the probability that a randomly selected point is in the white area of the grid? 1 minus StartFraction 9 over 16 EndFraction 1 minus StartFraction 7 over 16 EndFraction 1 + StartFraction 9 over 16 EndFraction 1 + StartFraction 7 over 16 EndFraction

Answers

Answer: Choice A

1 minus StartFraction 9 over 16 EndFraction

This is the same as writing 1 - 9/16

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

Explanation:

9/16 is the fraction 9 over 16

It is a shorthand way of saying 9 squares are shaded out of 16 total.

When writing 1 - 9/16 or 1 - (9/16), this represents the number of white squares that aren't shaded blue.

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

This is what happens when you simplify the expression

1 - 9/16

16/16 - 9/16

(16-9)/16

7/16

This shows that there are 7 white squares.

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

Or if you want, you can think of it like this:

16 squares total, 9 are blue

16-9 = 7 squares are white

7/16 is the fraction of squares that aren't shaded blue.

HELP ASAP PLEASEE
Circle X with a radius of 6 units and circle Y with a radius of 2 units are shown. Circles X and Y are shown. Circle X has a radius of 6 units and circle Y has a radius of 2 units. Which steps would prove the circles similar?
-Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 4.
- Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 4.
-Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.
-Translate the circles so the center of one circle rests on the edge of the other circle, and dilate circle Y by a scale factor of 3.

Answers

Answer & step-by-step explanation:

to arrive at the similarity, the transformation must be as follow:

the small circle will be dilated for a specific scale factor,

the radius of X circle is R= 6, and the radius of the small circle is r = 2

besides, two circles are similar if and only if R = r, (their radius ar equal)

therefore  r = 2*k = 6, and from where k = 6 / 2 = 3 units

the answer is

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Answer:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

Step-by-step explanation:

To prove circles are similar:

Translate the circles so that they share a common center point. (The circles are now concentric as they have the same center).

Dilate the smaller circle to increase its size to coincide with the larger circle.  The amount that the circle needs to be dilated by is the scale factor.

As the radius of circle Y is 2 and the radius of circle X is 6, determine the scale factor by dividing the larger radius by the smaller radius:

scale factor = 6 ÷ 2 = 3

Solution:

Translate the circles so they share a common center point, and dilate circle Y by a scale factor of 3.

By the way, you forgot to give us the image:

Line A is represented by the equation given below: x + y = 4 What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point) Group of answer choices 4x + 4y = 4 4x + y = 4 2x + 2y = 8 x + y = 8

Answers

Answer:

2x+2y = 8

Step-by-step explanation:

Simply multiply the first equation x + y=4 by 2:

x + y=4
*2      *2

(x + y)2 = 8

2x+2y = 8

x + y = 4  and 2x+2y = 8 are the same equation. You can't solve x+y = 4, there's infinite number of solutions, just like how you can't solve 2x+2y = 8

Technology required. A function f gives the number of stray cats in a town t years since the town started an animal control program. The program includes both sterilizing stray cats and finding homes to adopt them. An equation representing fis f(t) = 243()': a. What is the value of f (t) when t is 0?​

Answers

The number of stray cats in the town in t=0 years will be 243.

What is a function?

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

The given function is:-

[tex]f(t) = 243(\dfrac{1}{3})^t[/tex]

f(t) is representing the number of the stray cats in t years so in t=0 years the number of the cats will be:-

[tex]f(t) = 243(\dfrac{1}{3})^0= 243[/tex]

f(t) = 243 cats

It states that initially at t=0 years there were 243 cats in the town.

Therefore the number of stray cats in the town in t=0 years will be 243.

To know more about function follow

https://brainly.com/question/25638609

#SPJ1

Find the slope on the table

Answers

Answer:

1

Step-by-step explanation:

x = +2 you add 2 every time

y = +2 you add 2 every time

2/2 = 1

Answer This Question For 5 Pts!

Answers

Hello!

First we should figure out what 7 x 800 is.

7x800 is 5,600.

Next, start step 1.

7 x 8 is already 56, so you would multiply 1 in the box

(7x8x1)

Second, step 2.

56 x 100 is 5,600, so you would put 100 in the box.

(56x100)

Finally, step 3.

Put your total in the box

(TOTAL: 5,600)

Hope this helps!

~~~PicklePoppers~~~

The descriptive statistics are shown.
Analyzing Misleading Graphs and Reports
Compare the measures. Describe what these measures indicate about the shape of the box-and-whisker plot.

Answers

The median is always at the center of the box, we can say the median of our question is also at the middle of the box.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The description of the measures given has been done below and also what they indicate about the shape of the box and whisker plot have been given.

From the given data we see that;

Mean = 39,500

Median = 20000

Mode = 23000

Minimum = 15,000

Maximum = 255000

A general view of a box and whisker plot has been attached.

From the attached file, we can see the following;

- whiskers to the left and right of the box.

- The box starts from the lower quartile and stops at the upper quartile.

- The median is at the middle of the box

- The minimum is at the end of the left whisker

- The maximum is at the end of the right whisker.

1) Now, since median is always at the center of the box, we can say the median of our question is also at the middle of the box.

2) The median is 20000 but the minimum which is the end of the left whisker is 15000 while the maximum which is the end of the right whisker is 255000. This means the minimum is very close to the median and as such the left whisker would be very short. In contrast, the right whisker will be very long since the maximum is far larger than the median.

3) Since the right whisker is far larger than the left whisker, then we can say the shape of the box and whisker plot is heavily skewed to the right.

To know more about graphs follow

https://brainly.com/question/25020119

#SPJ1

89 +500= 589 because if you add 500 + 89 and you get 589 or you can subtract 89 from 500

Answers

Answer: Second statement is false

Step-by-step explanation: You cannot subtract 89 from 500 and get 500. You get 411.

Other Questions
Describe how the kidney and bladder work together to remove waste from the body (y'all I understand nothing about biology) In the previous task you saw that the number ofmoves to solve the Tower of Hanoi with n disksgiven by the equation an -2-1.What is the fewest number of moves required for7 disks?1364J127128COMPLETEANSWER:127 9 in.5 in.45 in.What is the volume of a square pyramid that has abase length of 5 inches and a height of 9 inches?cubic inchesVolume of a pyramid: V = Bh Where "B" is the area of the pyramid's base) PLS HELP ME 1. If someone consulted this document for research, which of these MOST LIKELY expresses the type of information being researched? A) the contrast between California state and national boating laws B) the prescribed rules and regulations of boating laws in California C) the categories and consequences of boating law infractions in California D) the provisions for persons sailing the navigable waters the state of California Use the drop-down menus to classify each of the following compounds.HR: HHHH-C-C-O-C-C-HH-C-C--C-C-HAHRETRY>-H>HH BrH-C-C-C-H Peter has 96 stamps and Sam has 63. How many stamps should Sam give Peter so that Peter will have twice as many stamps as Sam? equation please This is very confusing to me help plssssssssssssssssssss What is 15 1/3 in radical form?2/1515 need help Please for collage 1. Some ripples spread across a pond with a frequency of 5 Hz. How much would be the period of these ripples.2. A sound wave has a time period of 0.01 seconds. What is its frequency?3. A radio wave has a time period of 0.0000002 seconds. What is its frequency? Find the volume of the rectangular prism pictured below if LM = 25 in, LO = 28 in, andPR = 9 in, and OR = 3 in.PRM62 in6300 in?248 in3o 2354 in3 Topic 16-1 number 13.Draw and label parallel lines XY and RS.Then draw and label TS so it is perpendicular to both XY and RS.Draw point Z on TS.Envision Math 4th grade Anthony graphed the inequality y < -2x + 1 as shown.What error did Anthony make? Which statement best explains why DNA is replicated within the cell? The top three teams qualified to compete at the state competition. At the state competition, however, scoring is done differently than at the other meets. Use the following information to create a system of equations where is the points for first place, is the points for second place, and is the points for third place.Results:Eagles got 5 first-place, 3 second-place, and 4 third-place finishes with a team total of 67 points.Pirates got 2 first-place, 5 second-place, and 5 third-place finishes with a team total of 56.Devil Rays got 6 first-place, 3 second-place and 3 third-place finishes with a team total of 72.We cant believe the Devil Rays came from behind and won! We need to determine how many points were awarded for each place. Use Cramers rule or inverse method to get the answers. Explain your process. What was the most and abominable go aspect of the red scare and McCarthys claims Help me out with this math problem for 50 points!!! only 10 percent of china's land is suitable for farming, but china is still the worlds leading producer of___ I does it.thi Describeyourschoolyear so far. What havebeen the most important events?