simplify 3x+7>x+2
[tex]simplify \: \: 3x + 7 \geqslant x + 2[/tex]

Answers

Answer 1

Answer:

  x ≥[tex]\frac{-5}{2}[/tex]

Step-by-step explanation:

step(i):-

Given inequality

               3x + 7 ≥ x +2

subtracting '2' on both sides, we get

          ⇒ 3x + 7 -2 ≥ x+2-2

         ⇒  3 x + 5 ≥ x

    subtracting 'x' on both sides, we get

           3x +5 -x≥ x-x

       ⇒ 3x +5 -x ≥ 0

      ⇒ 2 x + 5≥ 0

Step(ii):-

subtracting '5' on both sides ,we get

         2 x + 5 -5 ≥ 0-5

   ⇒  2 x ≥ -5

  ⇒  [tex]\frac{2}{2} x\geq \frac{-5}{2}[/tex]

Final answer:-

 ⇒    x ≥[tex]\frac{-5}{2}[/tex]


Related Questions

how to calculate area when you are given volume of 182m3 and height of 2.8m

Answers

Hey there!

We simply have to do 182/2.8, and you will get the area (65m^2).

We know that the formula for area is length x width, and the formula for volume is length x width x height. In the volume formula, we can see it can also be area x height to get volume. So, we know that area x height = volume, right? And in this equation, we are given volume and height. If          V = ha, with V = volume; h = height; a = area, we can divide "h" on both sides, and we get V/h = a, or volume divided by height is area. To solve for the above equation, we can plug the numbers in the formula: 182/2.8 = a, or 65 = a.

Hope this helps! Have an amazing day, and remember, you've got this!

For a hypothesis test of H0: p = 0.35 against the alternative, Ha: p > 0.35, the z test statistic is found to be 2.45. What can be said about this finding?

a. The finding is significant at α = 0.05, but not at α = 0.01.
b. The finding is significant at α = 0.01, but not at α = 0.05.
c. The finding is significant at both α = 0.05 and α = 0.01.
d. The finding isn't significant at α = 0.05 and α = 0.01.
e. The finding is inconclusive because we don't know the value of p.

Answers

Answer:

c? sorry if it's wrong...

The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring. 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.

Given that;

For a hypothesis test of H₀, p = 0.35 against the alternative,

And, Hₐ: p > 0.35, the z test statistic is found to be 2.45.

Now, We get;

P(z < 2.45) = 0.9929

Hence, Significant is,

⇒ 1 - 0.9929 = 0.0071

Thus, Significant at both 0.05 and 0.01 because both are greater than 0.0071.

So, The correct statement is,

⇒ The finding is significant at both α = 0.05 and α = 0.01.

Learn more about the probability visit:

https://brainly.com/question/13604758

#SPJ3

Please give the right answer and help me, i’ll give brainliest❤️

Answers

Answer: Wouldn't That be 15, Since He bought 515, Then spent 500, So 515-500=15 (If its Wrong I'm Sorry)

Helpppppppppppppppp please

Answers

I think it’s A. Here is my sloppy writing.

Using the formula A = 6s2, solve when s = 2?

Answers

Answer:

When s=2, A=24

Step-by-step explanation:

We are given the formula [tex]A = 6s^2[/tex]

We need to solve and find value of A , when s=2

So, putting value of s in the given formula we can find value of A

The formula given is:

[tex]A=6s^2\\Put\:s=2\\A=6(2)^2\\A=6(4)\\A=24[/tex]

So, by putting s= 2, We get A=24

Please help

Type the correct answer in each box. Consider this expression.
-4x^2+2x-5(1+x)

What expression is equivalent to the given expression

___x^2+___x+___

Fill in the three blanks.

Answers

Answer: n3 when

Step-by-step explanation: just say he fell in the water

Answer:

Step-by-step explanation:

The sand pit for the long jump has a width of 3.65 meters and a length of 9.5 meters. The cheerleaders want to cover the pit with a sign cheering on their team. How many square meters of paper will the cheerleaders need to cover the sand pit?

Answers

Answer:

34.675 square meters of paper

Step-by-step explanation:

multiply 3.65 by 9.5 to get the area or square meters

y is inversely proportional to x. What are the values of a and b?

Answers

Look at the picture attached for answers

Answer:

HEY CAN YOU HELP ME PLEASE WITH MY MATH YOU just did iv got a couple more please

Step-by-step explanation:HEY CAN YOU HELP ME PLEASE WITH MY MATH YOU just did iv got a couple more please

Several members of a running club would like to survey the rest of the members to determine which 5K races the club should enter. They decide to use a random number table to sample 10 of the 78 members. Which of the following correctly labels the population?

A.) 0–78
B.) 1–78
C.) 00–78
D.) 01–78

Answers

Answer:

D

Step-by-step explanation: edge 2021

students in the third grade class at lowell elementary school Were asked which breakfast they like best from the three choices shown in the bar graph how many more students choose eggs or fruit combined and cereal

Answers

Answer:

my guess would be 150 or 20 or 30 plz forgive me if im wrong i tryd

40 kids liked fruit and eggs combined rather than cereal


A shop sells floor tiles at Rs 48 per square meter. A
building contractor employees
machine that polishes
the tiles that damages 10% of the total number of
tiles which cannot be used
any
more. Calculate the
amount that need to be paid by contractor to tile
Shop owner, if the hall is of a square shape and
has a perimeter of 400m
a.Rs 400.000
b.Rs 600 000
c. 528000 d.365000​

Answers

Answer:

c. 528000

Step-by-step explanation:

The computation of the amount that need to be paid is shown below:

Let us assume the side of the square shaped hall be X meter s

So,

Perimeter = 4X

Now

4X = 400

X = 100m

Now

Area of the hall = 100 × 100 = 10000 sq. meter.

And,

The cost on total tiles is

= 10,000 × 48 = Rs. 480000

But, there is 10% damage has occurred that involved in the cost

So,

Total cost is

= Rs 480,000 + 10% of 480,000

= 480,000 + 48,000

= Rs. 5,28,000

4 hundreds = _ ones​

Answers

Answer:

4 hundred ones

Step-by-step explanation:

4 hundreds = 400

400 = 4 hundred ones.

The only difference is the plural use and singular use.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Which of the following rational numbers is equal to that? please help quickly

Answers

Answer:

31/9. you have to count by nines, get three whole numbers which are not fractions, and you are left with 4. and a whole 3 plus 0.4 = 3.4 hope that helps homie

Reflect (-3, -3) over the y-axis.
Then translate the result to the left 2 units.
What are the coordinates of the final point?

Answers

Answer: (1,-3)

Step-by-step explanation:

Solve the inequality
8(x/4 - 6) >_ 4


Answers

Answer:

D. x[tex]\geq[/tex]26

Step-by-step explanation:

Its x >_ 26

______________

Write an exponential function for each set of points.
(0 , 1024), (1,256), (2,64). (3 , 16) and (4 ,4)

Answers

Answer:

[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]

Step-by-step explanation:

We are given that

(0,1024),(1,256),(2,64),(3,16)and(4,4)

From given data we assume an exponential function

[tex]f(x)=a^{b+x}[/tex]

where b and a are constant

[tex]f(0)=1024[/tex]

[tex]1024=a^b[/tex]...(1)

[tex]f(1)=256[/tex]

[tex]256=a^{b+1}[/tex]...(2)

Equation (1) divided by equation (2)

Then, we get

[tex]\frac{1024}{256}=\frac{a^{b}}{a^{b+1}}[/tex]

[tex]4=a^{-1}[/tex]

[tex]a=\frac{1}{4}[/tex]

Using the the value of a in equation (1)

[tex]1024=(\frac{1}{4})^{b}[/tex]

[tex]4^{5}=4^{-b}[/tex]

[tex]-b=5[/tex]

[tex]b=-5[/tex]

Therefore, the exponential  function

[tex]f(x)=(\frac{1}{4})^{x-b}[/tex]

The function f(x) is a cubic function and the zeros of f(x) are -6, -3 and 1. The
y-intercept of f(x) is 90. Write the equation of the cubic polynomial in standard
form.

Answers

Answer:

[tex]P(x)=-5x^3-40x^2-45x+90[/tex]

Step-by-step explanation:

Equation of a Polynomial

Given the roots x1, x2, and x3 of a cubic polynomial, the equation can be written as:

[tex]P(x)=a(x-x1)(x-x2)(x-x3)[/tex]

Where a is the leading coefficient.

We know the three roots of the polynomial -6, -3, and 1, thus:

[tex]P(x)=a(x+6)(x+3)(x-1)[/tex]

Since the y-intercept of the polynomial is y=90 when x=0:

90=a(0+6)(0+3)(0-1)

90=a(6)(3)(-1)=-18a

Thus

a = 90/(-18) = -5

The polynomial is:

[tex]P(x)=-5(x+6)(x+3)(x-1)[/tex]

We must write it in standard form, so we have to multiply all of the factors as follows:

[tex]P(x)=-5(x^2+6x+3x+18)(x-1)[/tex]

[tex]P(x)=-5(x^2+9x+18)(x-1)[/tex]

[tex]P(x)=-5(x^3-x^2+9x^2-9x+18x-18)[/tex]

[tex]P(x)=-5(x^3+8x^2+9x-18)[/tex]

[tex]\boxed{P(x)=-5x^3-40x^2-45x+90}[/tex]

To ensure that the mass of an average grain of rock salt stays the same, what should you multiply the first factor 1.2 by so that 10 negative 2 becomes 10 negative 4

Answers

Answer:

Step-by-step explanation:

[tex]1.2 X 100=120.\\[/tex]

Answer:

The mass of an average grain of rock salt is 1.2 x 10^-2. In part A, you multiplied 10^-2 by 10^-2 to get 10^-4. So, multiply the first factor, 1.2 , by 10^2, or 100.

The first factor will then be 1.2 x 100 = 120.

Step-by-step explanation:

Edmentum answer

Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making mistakes

Answers

Answer:

6936 pints and 1156 cups

Step-by-step explanation:

Answer:

7514 pints

Step-by-step explanation:

i rechecked and this was correct?

Find the value of x for the right triangle.

Answers

Answer:

x= 4.5

Step-by-step explanation:

Please see the attached picture for the full solution.

5/6 divided by 1/4 equals?​

Answers

Answer:

10/3 or 3 1/3

Step-by-step explanation:

The sides of a rectangle are 2x + 3 and 14. What are 2 expressions that represent the area of the rectangle?

Answers

Answer:

28x+42

14(2x+3)

Step-by-step explanation:

Area of a rectangle is lenght times width

A = L * W

So

14(2x+3)

28x+42

help due in 5 min!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!will mark brainliest if correct!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

what do u need help with

Step-by-step explanation:

??

Determine the measure of ∠Q, rounded to the nearest tenth of a degree.

Question 9 options:


A)
22.8°


B)
73.5°


C)
36.1°


D)
66.0°

Answers

In the given triangle the measure of ∠Q is (B) 73.5°.

What is a triangle?A polygon with three edges and three vertices is called a triangle. It is one of the fundamental geometric shapes. Triangle ABC is the designation for a triangle with vertices A, B, and C. In Euclidean geometry, any three points that are not collinear produce a distinct triangle and a distinct plane.

So, let's use the Sine rule in the calculation as follows:

q/sin q = r/sin r15/sin q = 12/sin 50.1 (Cross multiply)12 × sin q = 15 × sin 50.1 (divide both sides by 12)sin q = 15 sin 50.1/12q = sin⁻¹(15 sin 50.1/12) ≈ 73.5° (Rounded off)

Therefore, in the given triangle the measure of ∠Q is (B) 73.5°.

Know more about triangles here:

https://brainly.com/question/28889256

#SPJ1

One of the vertices of △PQR is P(2, −1). The midpoint of PQ is M(3, 0). The midpoint of QR is N(5, 3). Show that MN || PR and MN = 1/2 PR.

The coordinates of Q are:

The coordinates of R are:

The slope of MN is:

The slope of PR is:

The line segments are (select)

MN =

PR =

Answers

Answer:

See the proof below

Step-by-step explanation:

Given the following coordinates

P(2, −1)

Midpoint of PQ M(3, 0)

We can get the coordinate point Q using the midpoint formula;

M(X,Y) = (x1+x2/2, y1+y2/2)

X = x1+x2/2

3 = 2+x2/2

6 = 2+x2

x2 = 6-2

x2 = 4

Y = y1+y2/2

0 = -1+y2/2

0 = -1 + y2

y2 = 0+1

y2 = 1

Hence the coordinate of Q is (4, 1)

Next is to get the coordinate of R

Given the midpoint of QR to be N(5, 3)

(5,3) = (4+x2/2, 1+y2/2)

5 = 4+x2/2

10 = 4+x2

x2 = 10-4

x2 = 6

1+y2/2 = 3

1+y2 = 6

y2 = 6-1

y2 = 5

Hence the coordinate of R is (6,5)

Given the coordinates M(3, 0) and N(5, 3)

Slope is expressed as:

m = y2-y1/x2-x1

m = 3-0/5-3

m = 3/2

Slope of MN = 3/2

Get the slope of PR

Given the coordinates P(2, −1) and R (6,5)

Slope of PR = 5-(-1)/6-2

Slope of PR = 5+1/4

Slope of PR = 6/4 = 3/2

Since the slope of MN is equal to that of PR, hence MN is parallel to PR i.e MN || PR

To show that MN = 1/2PR, we will have to take the distance between M and N and also P and R first as shown:

For MN with coordinates  M(3, 0) and N(5, 3)

MN = √(x2-x1)²+(y2-y1)²

MN = √(5-3)²+(3-0)²

MN = √2²+3²

MN = √13

Get the length of PR where P(2, −1) and R (6,5)

PR = √(6-2)²+(5+1)²

PR = √4²+6²

PR = √16+36

PR = √52

PR = √4*13

PR = √4*√13

PR = 2√13

Since MN = √13

PR = 2MN

Divide both sides by 2

PR/2 = 2MN/2

PR/2 = MN

Hence MN = 1/2 PR (Proved!)

I'm solving for UW. And we're using pythagorean theorem.​

Answers

UW = 45
a squared + b squared = c squared
- 6^2 + x^2 = 9^2
- 36 + x = 81
- (subtract 36 from both sides)
- x = 45

i'm pretty sure this is right and i hope it helps you!

Answer:

6^2+x^2 = 9^2

x^2 = 9^2-6^2 = 81-36 = 45

x = √45

UW = √45 ft

If point A is located at -8 on a number line and point B is located at 3 what is the distance between the two points?​

Answers

Answer:

5

Step-by-step explanation:

you just have to subtract 3 by 8 and then you get 5

Answer:

11

Step-by-step explanation:

You are finding the space between them so we are going to make them absolute values and then add them:

|-8| + |3| = 8+3 = 11

What is an angle complimentary of 3?

Answers

Answer:

∠2

Step-by-step explanation:

∠2 + ∠3 = 90°

complimentary angles add up to 90°

Find the value of f(x) = -3x +2
When x=2

Answers

Answer:

it is -4

Step-by-step explanation:

-3 * 2 = -6 + 2 = -4

Fernando borrowed $38 to go to the country fair. He won $42 at the horse races, and then spent $12 trying to win a large stuffed animal. What is his financial situation now??

Answers

$68

Add 38 with 42 then subtract by 12 to find the total sum.

$38+$42=$80

$80-12=$68

Total: $68.

Other Questions
Please help me! Need help! I will give brainliest. theThe Louisiana Purchase was important because it blankamount of territory in the US. Which of the following organisms would be considered the most important part of the ocean's ecosystem because they are producers?A: Clams B: Dolphins C: Jellyfish D: Phytoplankton HELLLPP PLLSThe Graph shows the total?! Who was John Brown and what happened at Pottawatomie, Kansas and later at Harper's Ferry , Virginia?What was to be the fate of John Brown? I need help with this ASAP!! What comparison can most likely be made between the authors of these two passages? A. They are both interested in civil rights. B. They both like to share personal stories. C. They are both members of a black church. D. They both write editorials for a daily newspaper. Need help telling time in spanish How do firms operating in the formal economy identify and analyze the parts of the informal economy relevant to their strategies a cylindrical container with a radius 12 cm and height 7cm is covered in paper . what is the area of the paper? Ray Barbee, a radio announcer, is single, earns $300.74 weekly, and claims 2 allowances. Who painted the image above? A resale stores having a sale on DVDs and cds. DVDs cost $7 and CDs cost $4. on one day, the store made $211 from DVD and CD sales and so the total of 40 times. Write a system of equations then solve to find how many DVDs and CDs were sold show both the equations and the solution Which religious groups settled close together in the new land? Select all that apply.Catholics in MarylandPuritansBaptists in VirginiaPilgrimsQuakers in Pennsylvania Jackson ran 2 12 miles around the track. Each lap around the track is 14 of a mile. How many laps did Jackson run? A system consumed 0.4 seconds of processor time, 0.3 seconds accessing the network, and 0.5 seconds accessing the disk drive to execute the task. Where is the bottleneck in this network Use the drop-down menu to complete the sentence. Accessibility refers to ..choose.. A. using grade-level words and activities.B. accessing the online textbook without a password.C. keeping a clutter-free work space at homeD. the usability of course content regardless of a person's ability or disability 6. Would you describe each of these temperatures as warm, hot, or cold?b. 60 Ca. 100 Kc. 250 Kd. 25 Ce.300 Kf. -100 Cg. 400 K If YOU were there...You walklng past a newspaper stand when a headline catches your eye: "Austria-Hungary's Archduke Francis Ferdinand Assassinated in Sarajevo" Your first thought is, "Who's he?"You plck up the paper and read about the archduke and about the rising tensions In Europe related to his death. The article makes it sound like Europe is about to explode into war.At this point, do you think the assassination will affect the United States? Why or why not? Claim A The school day should not be lengthened because as e becomes more strees, andents need dome more than ever claim & Now that students need to move than ever before we need a longer school day to cover everyting which clair does the flowing where beter Our school has recently and tour graduation requirements computer literacy heath and matters and a foreign language O c. Cam A best phase the day 0. Claim A, because it shows that runs harder A.45B.25C.118D.93