Which number line represents the solution set for the inequality 2x - 62 6(x - 2) + 8?
-15
-0.5
0
0.5
1
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1
-0.5
0
0.5
1.5
-1.5
-1.5
0
0.5
1
1.5

Which Number Line Represents The Solution Set For The Inequality 2x - 62 6(x - 2) + 8?-15-0.500.511.5-1.5-1-0.500.51.5-1.5-1-0.500.51.5-1.5-1.500.511.5

Answers

Answer 1

Answer:

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Interval Notation: (- ∞, -1/2]

The line starts from -1/2 with the arrow going to the left (decreasing). The endpoint or value from where it started, which is -1/2, should be shaded.  The inequality symbol x ≤ -1/2 represents the values at most or maximum -1/2.

Step-by-step explanation:

Answer 2

The number line representing the solution set for the inequality given is option C.

The inequality is 2x - 6 ≥ 6(x-2) + 8,

Solving for x,

2x - 6 ≥ 6(x-2) + 8

2x - 6 ≥ 6x - 12 + 8

6x - 2x ≤ - 6 + 4

4x ≤ -2

4x/4 ≤ -2/4

x ≤ -1/2

Therefore, the Interval Notation is (- ∞, -1/2]

This means that the all the values of x will be less than -1/2 or equal to it,

Therefore, the graph will be, the line starts from -1/2 with the arrow going to the left (decreasing).

Learn more about inequality, click;

https://brainly.com/question/30231190

#SPJ7


Related Questions

If m∠P = (7x – 22) ° and ∠P is a right angle, find the value of x.

Answers

Answer:

16

Step-by-step explanation:

If P is a right angle the the value of 7x - 22 would be equal to 90°

7x - 22 = 90°

7x = 112°

x = 16

In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to _____ and the measure of angle 1 is_____ degrees. The measure of angle 8 is _____ degrees.

Answers

Answer:

-11

Step-by-step explanation:

when rewriting in the form y=a(x-h)+k, by completing the square, the relation y=-x*2+6x+12 becomes:

Answers

Answer:

Step-by-step explanation:

you can complete the square or use a calculator online that does it for you.

the equation is in the for y = a(x-h)^2 + k

it should be y = (x + 3)^2 + 3

Answer:

The correct answer is [tex]y = - (x - 3)^{2} +21[/tex].

Step-by-step explanation:

To solve this equation (y = [tex]-x^{2} +6x + 12[/tex]), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve [tex]y = -x^{2} +6x - 9 + 12[/tex].

Then, you want to add the -9 to the other side of the equation to get [tex]y - 9 = -x^{2} + 6x - 9 + 12[/tex].

Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with [tex]y - 9 = -(x^{2} -6x+9) + 12[/tex].

Now, we use an identity in algebra that is difference of two squares identity. This says that [tex]a^{2} -2ab +b^{2} =(a-b)^{2}[/tex].

So, we will then factor the trinomial -[tex]x^{2} -6x+9[/tex] to get [tex]-(x-3)^{2}[/tex]. Our new and updated equation is [tex]y-9 = -(x-3)^{2} +12[/tex].

Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us [tex]y = -(x-3)^{2} +21[/tex].

This is our final equation.

Please help me with my question!!

Answers

[tex](5^3)^7[/tex]

[tex]5^{3 \times 7}[/tex]

[tex]5^{21}[/tex]

Answer:3*7=21 not 10

You have to multiply the number outside brackets with the inner number

Step-by-step explanation:

Let f(x) = 2x, g(x) = x2 + 2, and h(x) = 4x +3. Find the composite function.
(F*g)

Answers

Answer:

(f * g)(x) = 2(x²) + 4

Step-by-step explanation:

Explanation:-

let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3

(f * g)(x)  = f(g(x)) = f(x² + 2)

                           = 2(x² + 2)

                           = 2(x²) + 4

final answer:-

(f * g)(x) = 2(x²) + 4

Find the Shaded area 12 cm 18cm 8cm 8cm

Answers

Answer:

3,456

Step-by-step explanation:

12x18x(8x2)= 3,456

compare: 3 5/7 to 3 6/10 which one is greater

Answers

Answer:

3 5/7

Step-by-step explanation:

First we need to get a common denominator.

We can do this by multiplying the fractions by opposite denominators.

This gets us 3 50/70 and 3 42/70

Now we can see that 3 5/7 is greater

Steps:

Using the given inputs: 3  5/7   and  3  6/10

Rewriting these inputs as fractions:  3 5/7                3 6/10

                                                            26/7                 36/10

The least common denominator (LCD) is: 70.

Rewriting as equivalent fractions with the LCD:      3 5/7             3 6/10

                                                                                    260/70     252/70

Comparing the numerators of the equivalent fractions we have:

3 5/7   3 6/10

260/70 > 252/70

Comparison shows:  3 5/7 > 3 6/10

Answer: 3 5/7 > 3 6/10

Please mark brainliest

Hope this helps.

pls help me fast as u can
pls

Answers

Answer:

                        M5 W11 C1-CLASS ASSIGNMENT-LEVEL-1

I.Convert the following into minutes

a)2 hours 12 minutes 72  

b)7 hours 45 minutes 465

II.Convert the following into seconds.

a)1 hour 4 minutes 26 seconds 3866

b)2 minutes 43 seconds 163  

III.

a) 246 minutes= 4 hours 6 minutes

b) 117 seconds= 1  minutes 57 seconds

Step-by-step explanation:

if its wrong sorry i tried mmy best

Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are drawn from point B to points A and D to form 3 triangles within the larger triangle. Angle C B D is 125 degrees. The length of line segment A C is 52 centimeters and the length of line segment B D is 29 centimeters. If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options. m∠ABC = 125° and AB ≅ DB ΔACD is isosceles with base AD ΔABD is isosceles with base AD CD = 52 cm AB = 29 cm

Answers

Answer:

it's A B D i don't know why the other person couldn't have just said that and make it look confusing

Answer:

A< B< D

Step-by-step explanation:

Solve the equation for y: x = 2y - 3

Answers

Answer:

[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]

Step-by-step explanation:

Wht is the y-intercept of the line describes by the equation below?

Answers

Answer:

(0,7)

Step-by-step explanation:

This is in the form

y = mx+b where m is the slope and b is the y intercept

y = -5x +7

The slope is -5 and the y intercept is 7

(0,7)

Answer:

(0,7)

Step-by-step explanation:

y=mx+b

y=-5x+7

so y intercept is (0,7)

Can someone help me solve this?

Answers

Answer:

233.5

Step-by-step explanation:

step 1. A=wl=8·20=160

step 2. A=wl=6·12=72

step 3. A=ab

2=3·1

2=1.5

step 4.  160+72+1.5= 233.5

In a test +3 marks are given for every correct answer and -1 mark for every incorrect answer. Sona attempted all the questions and scored +20 marks through she got 10 correct answers. How many questions were asked?

Answers

Answer: 20

Step-by-step explanation:

(i) Sona got 10 answers correct.

1 correct answer = 3 marks

10 correct answers = 10×3 = 30 marks but she got only 20

1 wrong answer = -1 mark

that means she attempted 10 incorrect answers.

  

No.of questions in the test= no.of incorrect + no.of correct answers

10+10= 20

i would appreciate if you do a step by step work pls !!

Answers

Answer:

A. 2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

cos 60° = y / 4[tex]\sqrt{3}[/tex]

cos 60° = 1/2

y = 2[tex]\sqrt{3}[/tex]

write 55g as a percentage of 2.2kg​

Answers

Answer:

2.5%

Step-by-step explanation:

55 grams * 0.001 kg/1 gram=

0.055kg/2.2 kg = 0.025 kg

0.025*100% = 2.5%

2. What is the distance between the points M(-8,11) and N(3,7)?
a) 11.7
b) 10.2
c) 18.7
d) 19.4

Answers

Answer:

I'm not sure I feel like it's A

Step-by-step explanation:

-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.

If I were you I would not trust my answer

The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

What is a distance formula?

It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.

The distance formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is given that:

The two points are:

M(-8,11) and N(3,7)

From the distance formula, we can find the distance between these two points:

Applying the distance formula:

[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]

d = √137

d = 11.7 units

Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.

Learn more about the distance formula here:

brainly.com/question/18296211

#SPJ2

Find the surface area of a sphere. Use 3.14 for pi and round to the nearest tenth.

R=6.25

Answers

Yes that is correct 3.14 is r = 6.25 smile

Si mi disco duro tiene una capacidad de 1.5 Terabytes ¿ cuántas llaves de 32 Gigabits caben en ese disco duro?

Answers

Answer:

The number of 32 Gigabit keys that can be fitted on the hard drive is 375.

Step-by-step explanation:

The question is:

If my hard drive has a capacity of 1.5 Terabytes, how many 32 Gigabit keys can fit on that hard drive?

Solution:

1 Terabyte = 8000 Gigabits

Then 1.5 Terabytes in Gigabits is:

1.5 Terabytes = (8000 × 1.5) Gigabits

                      = 12000 Gigabits

One key is of 32 Gigabits.

Compute the number of 32 Gigabit keys that can be fitted on the hard drive as follows:

[tex]\text{Number of 32 Gigabit keys}=\frac{12000}{32}=375[/tex]

Thus, the number of 32 Gigabit keys that can be fitted on the hard drive is 375.

4x+3=-10x+ 3 in simples form

Answers

Answer:

14x=0

Step-by-step explanation:

Answer

14x+3=3

add 10x to both sides

Answer anyone please ?!

Answers

Answer:

A & D

Step-by-step explanation:

Vertical angles are equivalent angles made by intersecting lines. ISN and TSW, and TSN and ISW face each other and are equivalent.

a) ISN and TSW
They’re opposite angles made from 2 intersecting lines.

The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?

Answers

Answer:

68

ignore the rest of this i need 20 charecters

Answer:

68%

Step-by-step explanation:

Neon green is a paint color that contains the colors yellow and green in the ratio 3:5 by volume. How many ml of each color is in 100ml of neon green paint? Show your thinking

Answers

First you add the 5+3 (8) then you take your total of 100ml and you divide it by 8. (12.5) That shows you that you need to multiply both sides of the ratio by 12.5 so you get
37.5:62.5

Explain how to solve this problem by writing down the steps. The grass on the field erodes by -1 1/2% every year. If the total length of grass on the field was 220 feet long 3 years ago, how long is the length of grass on the field now?

Answers

Answer:

Step-by-step explanation:

Since the grass on the field erodes by -1 1/2% every year, it means that the rate of erosion is exponential. It is therefore eroding in geometric progression. We would apply the formula for determining the sum of n terms of a geometric sequence which is expressed as

Sn = a(1 - r^n)/(1 - r)

Where

n represents the number of terms(number of years) in the sequence.

a represents the first term in the sequence(the length 3 years ago)

r represents the common ratio(rate of erosion)

From the information given,

a = 220 feet

r = - 1.5/100 = - 0.015

n = 3

Therefore, the length of the field after 3 years, S3(length of the field now) would be

Sn = a(1 - r^n)/(1 - r)

S3 = 220(1 - (- 0.015^3)/(1 - - 0.015)

S3 = 220.0007425/1.015

S3 = 216.7495 feet

I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5

Answers

Answer:

(2,7)

Step-by-step explanation:

y=6x-5

y=x+5

Since they are both equal to y, set them equal to each other

6x-5 = x+5

Subtract x from each side

6x-x-5 = x+5-x

5x-5 = 5

Add 5 to each side

5x-5 +5 = 5+5

5x=10

Divide by 5

5x/5 = 10/5

x=2

y = x+5

y = 2+5

y =7

Answer:

Choice C: (2,7)

Step-by-step explanation:

Using substitution method let y = x + 5

We have x + 5 = 6x - 5

Get let’s get rid of the 6x, so -5x + 5 = -5

Get rid of the 5 by subtracting by 5, so -5x = -10

Divide -5 on both sides and you get x = 2

Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.

So (2,7)

Please mark BRAINLIEST!

what is 25,00+30,00=

Answers

Answer:

5,500

Step-by-step explanation:

2,500 + 3,000:

2000 + 3000 + 500

5000 + 500

5500

Easy!

11. Michael is trying to rent a car during his vacation. He finds two companies
with the following deals.
Carol's Car Rentals
AL's Auto Rentals
$180 down payment
+ $15 per day
$250 down payment
$s per day
+
Part A: Write an expression that represents the cost at Carol's Car Rentals for (d)
days.
Your answer

Answers

Answer:

$180 + $15d

Step-by-step explanation:

Since Carol's Car Rentals offers a deal of $180 down payment  + $15 per day and AL's Auto Rentals offer a deal of $250 down payment  $5 per day. To calculate the cost of Carol's Car Rentals deal, we use the formula:

cost of Carol's Car Rentals = Down payment + cost per day.

If you are to rent at Carol's Car Rentals for d days; The cost of Carol's Car Rentals = Down payment + cost per day = $180 + $15 per day × d days

cost of Carol's Car Rentals = $180 + $15d

the scale on a map is 1 cm : 7km. if two cities are 15 cm apart of the map, what is the actual distance between the cities?​

Answers

Answer:

x = 105 km

Step-by-step explanation:

We can use ratios to solve

1 cm               15 cm

------------ = ------------

7 km            x km

Using cross products

1 * x = 7 * 15

x = 105 km

Answer:

[tex]105km[/tex]

c

Step-by-step explanation:

[tex]1cm = > 7km \\ 1cm = > 700000[/tex]

[tex]1 : 70000[/tex]

[tex]1cm = > 700000cm \\ 15cm = > x[/tex]

[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]

Use cross multiply

[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]

so,

[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]

[tex]15cm = 10,500m \\ 15cm = 105km[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)

Answers

Step-by-step explanation:

SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.

[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18

Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)

Answers

Answer:

the answer is 1100

Step-by-step explanation:

you will do... 5500*20/100

What is the volume, in cubic in, of a cylinder with a height of 20in and a base radius of 6in, to the nearest tenths place?

Answers

Answer:

[tex]2262.20 in^3[/tex]

Step-by-step explanation:

Given data

height of cylinder h= 20 in

base radius r= 6 in

We know that the formula for the volume of a cylinder is expresses as

[tex]volume= \pi r^2h[/tex]

Substituting our data into the expression we have

[tex]volume= 3.142*6^2*20\\volume= 2262.24 in^2\\[/tex]

To the nearest tenth we have the volume to be

[tex]2262.20 in^3[/tex]

Answer: 2261.9


use volume of a cylinder formula

Substitute Variables into formula

Multiply

Then round to the nearest 10th

Other Questions
Account A pays simple interest. Future ValueA = Principal + Interest = Principal + [(Principal x Interest Rate) x Investment Period] = $2,000 + [($2,000 x 996) x 3 years]Future Value of Account X Note: Account X pays compound interest. Future Valuex = Present Value x Interest Rate Factor = Present Valuex(1 +Interest Rate)n years = $2,000 x (1 + 0.09)3 To find the interest rate factor, you can use three different ways, including multiplying it out: Interest Factor(1 0.09) x (1 0.09) x (1 0.09)1.2950 Or using exponents and calculating it directly: Interest Factor(10.09)31.2950 Or looking up the value in the Future Value Interest Factor Table: Interest Factors Periods 6% 7% 8% 9% 10 111 1.0600 1.0700 1.0800 1.0900 1.1000 1.1100 2 1.1236 1.1449 1.1664 1.1881 1.2100 1.2321 3 1.1910 1.2250 1.2597 1.2950 1.3310 1.3676 4 1.2625 1.3108 1.3605 1.4116 1.4641 1.5181 The fourth alternative for solving the equations is to let a financial calculator perform the calculation. This requires that you know how your calculator functions and how to enter the following variables: P/ Y N I / YR PV FV1 3 9 2,000 P/Y indicates the number of compounding periods per year, N is the number of years, I is the interest rate, PV is present value, and FV is future value.Difference in Future Values Difference = FVx_FVA Christian created a modelof his truck using a scale of1 inch : 36 inches. If the lengthof his actual truck is 250.4inches, how long is his model,rounded to the nearest inch? Please help! Correct answer only!For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff? Select the term that does not describe the triangle. Select all that apply.A) acuteB) obtuse C) scalene what is the value of x in the equation 2x+3y=36 when y=6 A pension fund manager is considering three mutual funds. The first is a stock fund, the second is a long-term government and corporate bond fund, and the third is a T-bill money market fund that yields a sure rate of 4.4%. The probability distributions of the risky funds are: Expected Return Standard Deviation Stock fund (S) 14% 34% Bond fund (B) 5% 28% The correlation between the fund returns is 0.0214. What is the expected return and standard deviation for the minimum-variance portfolio of the two risky funds HELP! Point A is located at (3, -1). It is moved 5 units to the left and 4 units up. Its new coordinates are: 36x^2-16 factored. please and thanks Why does Washington's "Root of Liberty" grow the fastest under Jefferson's Presidency? Analysez la situation et choisissez le mot de vocabulaire qui y correspond le mieux. Hugo has just finished his study abroad program in Italy and is buying a ticket to go back home. He wonders if he'll ever travel back to Italy. un billet aller-simple: one-way ticketun billet de classe touriste: coach ticket un billet aller-retour: round-trip ticket Is a percent a ratio?Describe using 1 complete sentence. I NEED ANSWER RN OR ILL BE DED 12. Which of the following numbers iscontained in the solution set of theinequality 1-5x + 35| > 20?A-1B39D10 can somebody write me a summery for chapter 5 of the boy in striped pajamas please Please help! 100 points! Only answer if you know :)What are some ways that the nitrogen cycle overlaps with or influences the oxygen and carbon cycles?Are any of these interactions between the cycles positive?Are any negative?What about when the nitrogen cycle is thrown off balance by the Haber-Bosch process and others like it?How can that influence the oxygen and carbon cycles?Are there other cycles involved that have not been mentioned in this question?What does this discussion suggest about the nature of the Earth as one large system? What is a reasonable product of 3 9/10 4 1/5? 1. (a) The battery on your car has a rating stated in ampere-minutes which permits you toestimate the length of time a fully charged battery could deliver any particular current before discharge. Approximately how much energy is stored by a 50 ampere-minute 12 volt battery? Her husband suggested _______ a horror after work. 1) see 2) seeing 3) seen 4) to see After suggest, the right answer is seeing follow the rule. But the teacher said the correct answer is to see. Who is right and which answer is correct? There should be only one answer. With an explanation, please. Pleeaassee heeellllllppppp Assume that you have a list of n home maintenance/repair tasks (numbered from 1 to n ) that must be done in numeric order on your house. You can either do each task i yourself at a positive cost (that includes your time and effort) of c[i] . Alternatively, you could hire a handyman who will do the next 4 tasks for the fixed cost h (regardless of how much time and effort those 4 tasks would cost you). The handyman always does 4 tasks and cannot be used if fewer than four tasks remain. Create a dynamic programming algorithm that finds a minimum cost way of completing the tasks. The inputs to the problem are h and the array of costs c[1],...,c[n] . a) Find and justify a recurrence (without boundary conditions) giving the optimal cost for completing the tasks. Use M(j) for the minimum cost required to do the first j tasks. b) Give an O(n) -time recursive algorithm with memoization for calculating the M(j) values. c) Give an O(n) -time bottom-up algorithm for filling in the array. d) Describe how to determine which tasks to do yourself, and which tasks to hire the handyman for in an optimal solution.