Graph the inequality on the axes below. y≥3/2x-1

Answers

Answer 1

The graph will be a shaded region above and including the straight line y = (3/2)x-1.

We are asked to graph the inequality y ≥ (3/2)x-1. Describing the graph of an inequality, it will be a region on one side of a straight line.

So first we need to sketch the straight line, y = (3/2)x-1.

So find two points (x, y) satisfying this equation of line because a line need at least two points.

x y

0 -1

2/3 0

So first sketch a line joining the points (0, -1) and (2/3,0). This line will lie below the origin. That is, origin lies on the region above this line.

So the line y = (3/2)x-1 divided the plane into two regions, one of which represents the inequality y ≥ (3/2)x-1. So to find this required region we will check if origin lies in the region for inequality.

Substituting (0, 0) into y ≥ (3/2)x-1,

0 ≥ -1, which is true.

Thus in the graph, the region for inequality is the region where the origin lies. Hence shade the region above the line y = (3/2)x-1. This is the graph of the inequality y ≥ (3/2)x-1.

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Related Questions

Aaron Rodgers' yearly salary is 2.2 x 10' dollars. The yearly salary of one of his backup
quarterback's is 6.3x105 dollars. How many times greater is Aaron Rodgers' salary than his
backup's salary?

Answers

Aaron Rodgers salary is 2.19×[tex]10^1^1[/tex] greater than his backups.

To find how many times a quantity x is greater than y we do subtraction. That is we do [tex]x-y[/tex].

So, here Aaron's salary is given to be $ 2.2× [tex]10^1^0[/tex]

And his quarterback's salary is $ 6.3×[tex]10^5[/tex].

Thus the difference between salaries= 2.2×[tex]10^1^0[/tex] - 6.3 × [tex]10^5[/tex]

= 2.19×[tex]10^1^1[/tex]

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Question 2 of 10
Question 2
"If two lines intersect, then the lines are coplanar."
Identify the following statements as the contrapositive, converse, or inverse of the
statement above.
• If two lines do not intersect, then the lines are not coplanar. inverse
+
• If two lines are coplanar, then the lines intersect. converse
• If two lines are not coplanar, then the lines do not intersect.
contrapositive
C

Answers

The inverse of the conditional statement is : if two lines do not intersect, then the lines are not coplanar.

Conditionals are commands used in programming languages to handle decisions.

Conditional statements are those that have both a hypothesis and a conclusion. It is also known as a "If-then" statement. If the conclusion and the hypothesis are both true, the conditional statement is untrue.They include conditional statements, conditional expressions, and conditional constructions. Particularly, conditionals carry out various calculations or actions according on whether a boolean condition set by the programmer evaluates to true or false. The decision is always made in terms of control flow by selecting changing the control flow based on some situation.

The contrapositive statement is : If two lines are not coplanar, then the lines do not intersect.

The converse statement is : If two lines are coplanar, then the lines intersect.

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What are the coordinates of point A? x x x A (1.2, 3.5) B (2,4) C D (1.7. 3.8) (4.9. 3.9) 6 5 4 3 2 1 1 2 B 3 4 5 5 ◆m 7 FO 00 В 9 73

Answers

The coordinates of point A is (1.7,3.8)

What is coordinate plane ?

A coordinate plane is a surface with two dimensions made up of two number lines. It is created when the origin, the point at which the X-axis and Y-axis cross, is reached. To locate points, one uses the numbers on a coordinate grid. A coordinate plane is useful for graphing points, lines, and many other things. It serves as a map and provides clear instructions for getting from one place to another.

Start at the point, then move up or down a vertical line until you reach the x-axis. Your x-coordinate is shown there which is 1.7. To get the y-coordinate, repeat the previous step while adhering to a horizontal line you will get y coordinate as 3.8

The coordinates of point A is (1.7,3.8)

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Anthony finds some nickels and pennies in his change purse. How much money (in dollars) does he have if he has 100 nickels and 60 pennies? How much money (in dollars) does he have if he has xx nickels and yy pennies?

Total value, 100 nickels and 60 pennies (dollars):

Total value, xx nickels and yy pennies (dollars):

Answers

Answer:

Nickels are equal to 5 cent and pennies are equal to 1 so:

5 times 100 = 500

1 times 60 = 60

500 + 60 = 560

560 converted to dollars would be $5.60!

Step-by-step explanation:

Hope it helps! =D

The points (3, – 1) and (2,s) fall on a line with a slope of – 9. What is the value of s?

giving free brainlist!

Answers

Answer:

Step-by-step explanation:

x f(x)
−2 4
−1 3
0 2
1 1
2 0
3 1
4 2
5 3
6 4

What are the vertex and range of the function?
Vertex (0, 2), Range: {y | 0 ≤ y < ∞}
Vertex (0, 2), Range: {y | 2 ≤ y < ∞}
Vertex (2, 0), Range: {y | 0 ≤ y < ∞}
Vertex (2, 0), Range: {y | 2 ≤ y < ∞}

Answers

Examining the given function it could be found that

the vertex is (2, 0)the range is {y | 0 ≤ y < ∞}

This makes the third option a more correct option

How to find the vertex and range

The term vertex is used most times when the graph discussed is a curve, I t represents the peak of the graph. It may be the lowest or highest value depending on where the graph opens

This graph opens up and the vertex is the least value in the y axis which is 0, that is (2, 0)

The range is in the y axis. It is all the values in the y direction, that is from least to the maximum values. making the value: {y | 0 ≤ y < ∞} correct

This tow values are seen in the third option

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You can use this rule to work out the total cost, in pounds, of hiring a carpet cleaner. Multiply the number of days by 7.8 and then add 12
Andy hires a carpet cleaner.
The total cost is £82.20
(a) Work out the number of days Andy hires the carpet cleaner for.

Answers

Andy hired the carpet cleaner for 9 days, bringing the total cost to £82.20.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables. Dependent variables depend on other variable while an independent variable .

Let y represent the amount of money paid to the carpet cleaner for working x days. Multiply the number of days by 7.8 and then add 12, Hence:

y = 7.8x + 12

For a total cost of 82.20

82.2 = 7.8x + 12x = 9.

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Please help!! 15 points

Answers

We can figure this out by simply testing out the answers. For example y= 5x is a possible answer. And we know that in the data table there are x values. So just replace the x value and solve to see if it equals the y value in the table as shown:

(I’m going to be using the first x value in the data table but any value will work.)

Y = 5x: Y= 5*5 which is 25 ❌And in the data table $5 is supposed to equal the y value of 0.41 so keep trying the other equations

Y = 10.82x: Y= 10.82*5 which is 54.1 ❌
Y = 0.41x: Y= 0.41*5 which is 2.05 ❌
Y = 0.082x: Y = 0.082*5 = 0.41 ✅

Now finally, check your answer by using another value in the data table and substituting it in the answer you believe is correct

Y = 0.082x = 0.082*10 which is 0.82.

This answer seems to hold true so I believe it is D: Y = 0.082x

I apologize if this is wrong and if you have any questions please ask me.

Write a formula for each rule, and graph the formula for each one.

1.The perimeter P of an equilateral tri-angle equals three times the length of a side s.

2.The number of tablespoons T is equal to the number of teaspoons x divided by 3.

Answers

The proportional relationships that model each relation are given as follows:

1. P = 3s.2. T = x/3.

What is a direct proportional relationship?

A proportional relationship is a function in which the output variable is given by the multiplication of the input variable and the constant of proportionality represented by k, according to the equation below:

y = kx.

Both items in this problem are represented by direct proportional relationships, we just have to identify the constants then graph the relations.

For item 1, the constant is of 3, as the perimeter is of three times the side length of the triangle.For item 2, the constant is of 1/3, as a division by 3 is equivalent to a multiplication by 1/3.

The graph of a proportional relationship is linear with slope given by the constant and intercept at 0, hence the graphs for each item are given at the end of the answer.

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Samuel was absent for the last biology test. For those who took the test, the mean was 84.6, the median was 82, and the mode was 88. When Samuel took the test, the class mean went down to exactly 84. His score was different from every other students’ score. What effect, if any, did Samuel’s score have on the class mode?

A: None; the mode stayed the same.
B: It decreased the mode by exactly 1 point.
C: It increased the mode by exactly 1 point.
D: It increased the mode by greater than 1 point.
E: The effect of Samuel’s score on the mode cannot be determined from the given information.

Answers

The correct option is A: None; the mode stayed the same.

What is Mode?

Mode of a data set is the value that occur most frequently in a data set.

There may be no mode, one mode or more than one mode for a data depending on the number of times values are repeating.

Given that before Samuel taking a test,

Mean = 84.6

Median = 82

Mode = 88

After Samuel took the test,

Mean = 84

Also given that, his score was different from every other students’ score.

This means that from the data of scores, Samuel's score is not repeating.

Mode is the most repeating element.

So Samuel's score does not effect the mode and thus stayed the same.

Hence the mode stayed the same.

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I have one fair 6-sided die and one unfair 6-sided die. On the unfair die, the probabilities of rolling numbers 2,…,6 are equal and the probability of rolling a 1 has a different value. I roll each die once.

If the probability of rolling one 3 and one 4 is 1/24, what is the probability of rolling two 1’s?

Answers

Answer:

[tex]\dfrac{1}{16}[/tex]

Step-by-step explanation:

Probability Distribution Table for X

Where X is the score on a fair, six-sided dice:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} x & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(X=x) \phantom{\dfrac11}&\frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} & \frac{1}{6} \\\cline{1-7}\end{array}[/tex]

Probability Distribution Table for Y

Where Y is the score on an unfair, six-sided dice, and the probabilities of rolling numbers 2, 3, 4, 5 and 6 are equal, and the probability of rolling a 1 has a different value:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} y & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(Y=y) \phantom{\dfrac11}&1-5k&k&k&k&k&k\\\cline{1-7}\end{array}[/tex]

Note: The probabilities of all the possible values that a discrete random variable can take add up to 1.

The outcomes of rolling one 3 and one 4 are:

Rolling a 3 with the first die and a 4 with the second die, ORRolling a 4 with the first die and a 3 with the second die.

Given the probability of rolling one 3 and one 4 is ¹/₂₄:

[tex]\implies \text{P}(X=3)\; \text{and} \; \text{P}(Y=4) \; \text{or} \; \; \text{P}(X=4) \; \; \text{and} \; \; \text{P}(Y=3)=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{1}{6} \times k +\dfrac{1}{6} \times k=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{k}{6} + \dfrac{k}{6}=\dfrac{1}{24}[/tex]

[tex]\implies \dfrac{2k}{6}=\dfrac{1}{24}[/tex]

[tex]\implies 24(2k)=6[/tex]

[tex]\implies 48k=6[/tex]

[tex]\implies k=\dfrac{1}{8}[/tex]

Therefore:

[tex]\implies 1-5k=1-\dfrac{5}{8}=\dfrac{3}{8}[/tex]

Hence, the probability distribution table for the unfair 6-sided dice is:

[tex]\begin{array}{|c|c|c|c|c|c|c|}\cline{1-7} y & 1 & 2 & 3 & 4 & 5 & 6\\\cline{1-7} \text{P}(Y=y) \phantom{\dfrac11}&\frac{3}{8} & \frac{1}{8} & \frac{1}{8}& \frac{1}{8} & \frac{1}{8}& \frac{1}{8} \\\cline{1-7}\end{array}[/tex]

There is only one possible outcome of rolling two 1's, so the probability of rolling two 1's is:

[tex]\implies \text{P$(X=1)$ and P$(Y=1)$}=\dfrac{1}{6}\times\dfrac{3}{8}=\dfrac{3}{48}=\dfrac{1}{16}[/tex]

Note: Please see attachment for the sample-space diagram showing the possible outcomes of rolling two dice. The possible outcomes of rolling one 3 and one 4 are highlighted in yellow. The possible outcome of rolling two 1's is highlighted in blue.

what is 12 root divided by 3 root (simplify)

Answers

Answer:

Дсдслсьмтстстсьсьалалла =4

Answer: 2

Step-by-step explanation:

1. Simplify the expression

[tex]sqrt(12)/sqrt(3)\\3.464/sqrt(3)\\3.464/1.732[/tex]

2. Perform any multiplication or division, from left to right:

[tex]3.464/1.732[/tex]

[tex]2[/tex]

A new mobile device has a value of $256.25. It’s value changes by -22 1/2% each year. What is the value of the phone after two years?

Answers

If new mobile device has a value of $256.25 and its value changes by [tex]22\frac{1}{2}[/tex]% each year, then the value of phone after two years is $153.76

The value of new mobile device = $256.25

The percentage of value change = [tex]22\frac{1}{2}[/tex]%

Convert the mixed fraction to decimal form

[tex]22\frac{1}{2}[/tex]% = 22.5%

After one year mobile value = 256 - (256×22.5/100)

= 256-57.6

= $198.4

After two year the mobile value = 198.4-(198.4×22.5/100)

= 198.4-44.64

= $153.76

Hence, if new mobile device has a value of $256.25 and its value changes by [tex]22\frac{1}{2}[/tex]% each year, then the value of phone after two years is $153.76

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When x²+x-3 is subtracted from 3x² - 5, the result is
A. -2x² + x + 2
B. 2x² - x - 2
C. 2x² - x + 2
D. 4x²+x-8

Answers

Answer:

B 2x² - x - 2

Step-by-step explanation:

When x²+x-3 is subtracted from 3x² - 5

We get (3x² - 5) - (x² + x - 3)

==> step 1 remove parenthesis and change signs

3x² - 5 - x² - x + 3

==> step 2 combine like terms

2x² - x - 2

Remember like terms are terms with the same variable and degree.

For example 3a² and 5a² would be like terms because both terms have a variable of "a" and a degree of 2

Calculate the value of 1 3/5 x 2/5
As a fraction in its simplest form

Answers

Answer:

16/25

Step-by-step explanation:

1 3/5 = 8/5

8/5 x 2/5 = 16/25

16/25

1 3/5=8/5
8/5 x 2/5=16/25

Find the value of x for which r || s. Then find m∠1 and in∠2.
m∠1=75-2x
mZ291-3x

The value of x for which r || s is
mt=1
m<2=□

Answers

Answer:

Since r and s are parallel lines, angle 1 = angle 2 (corresponding angles)

75 - 2x = 91 - 3x

x = 16

Angle 1 = 75 - 2(16) = 43°

Angle 2 = Angle 1 = 43°

what is the answer to Abdul drinks 1 1/2 pints of milk a day. How much is this in cups?
Write your answer as a whole number or a mixed number in simplest form. Include the correct unit in your answer.

Answers

Answer:

3 us cups

Step-by-step explanation:

multiply by 2

Can anyone please help me?

Answers

Answer:

the answer is 60

Step-by-step explanation:

find the common difference of thr arithmetic sequence -19 -14 -9

Answers

-5 is the common difference of the arithmetic sequence.

What is arithmetic sequence?

A series of numbers called an arithmetic progression or arithmetic sequence has a constant difference between the terms. An arithmetic progression with a common difference of 2 is found, for instance, in the numbers 5, 7, 9, 11, 13, and 15. The nth term of an arithmetic progression is determined using the arithmetic sequence formula. The series where the common difference between any two next words stays constant is known as an arithmetic sequence.

Given Data

Arithmetic sequence

-19, -14, -9

Common difference = a₂ - a₁

Common difference = -14 - (-19)

Common difference = -14 + 19

Common difference = -5

-5 is the common difference of the arithmetic sequence.

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The sum of three consecutive numbers is thirty-three. What is the middle number

Answers

Answer:

The first number is 10

The middle number is 11

The last number is 12

BRAINIEST AND A LOT OF EXTRA POINTS FOR A SURE AND CORRECT ANSWER

Answers

Using the arithmetic operations, the total change in her monthly electric bill over 5 months is +$10.58

For the past 5 months,

The change in her July electric bill = +$18.02

The change in her August electric bill = +$1.03

The change in her September electric bill = -$0.44

The change in her October electric bill = -$6.84

The change in her November electric bill = -$1.19

The total change in her monthly electric bill over 5 months = Sum of all changes in her electric bill over 5 months

= +18.02+1.03-0.44-6.84-1.19

= +$10.58

Hence, the total change in her monthly electric bill over 5 months is +$10.58

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7x2 – 5x + 10x – 8x2

Answers

Answer:

-1(x - 5)x

Step-by-step explanation:

7x2 - 5x + 10x -8x2

7x2 + 5x -8x2

7x2 + 5x - 8x2

-1x2 + 5x

-x2 + 5x

7x2 - 5x + 10x - 8x2

-1 (x2 - 5x)

-1(x - 5)x

SOMEONE PLEASE HELPPPP!!! LOOK AT THE PICTURE!

Answers

Answer:

x+2=3

collect like terms

x=3-2

x=1

x-12=x+30

collect like terms

x-x=30-12

=18

2(x+6)=2x+12

open bracket

2x+12=2x-12

collect like terms

2x-2x=-12+12

3(x-2)=3x-2

open bracket

3x-6=3x-2

collect like terms

3x-3x=-2+6

[tex]\sqrt{3(\sqrt{3}-1)^2 }[/tex]

Answers

Answer:

3-[tex]\sqrt{3}[/tex] is the exact form

the daily useage time on the apple iphone is normally distributed with mean 5.4 hours and standard deviation 1.2 hours. what proportion of iphone owners use their iphone between 4 and 7 hours in a day? round your answer to three decimal places.

Answers

Solving for the probability using the z-table, the proportion of iPhone owners who use their iPhone between 4 and 7 hours in a day is 0.787.

For a normally distributed set of data, given the mean and standard deviation, the probability can be determined by solving the z-score and using the z-table.

First, solve for the z-score using the formula below.

z-score = (x – μ) / σ

where x = individual data value (4 and 7)

μ = mean = 5.4

σ = standard deviation = 1.2

z-score = (4 - 5.4) / 1.2 where x = 4

z-score = -1.4 / 1.2

z-score = -7/6 or -1.1667

z-score = (7 - 5.4) / 1.2 where x = 7

z-score = 1.6 / 1.2

z-score = 4/3 or 1.3333

Find the probability that corresponds to the z-score in the z-table. (see attached images)

z-score = -7/6 or -1.1667 probability = 0.12197

z-score = 4/3 or 1.3333 probability = 0.90853

To determine the proportion of iPhone owners who use their iPhone between 4 and 7 hours in a day is the difference between the probabilities of the two values.

proportion = 0.90853 - 0.12197

proportion = 0.787

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Factor the expression using the GCF 6y + 3

Answers

[tex]3(2y+1)[/tex] I believe is the solution you seek.

You factor 3 out of 6y + 3, leaving you with the solution.

Hope this helps!

5.) Claire deposited $32 each week for 8 weeks. How much money did she deposit after 8
weeks?
O $256
O-$256
O-$40
O $40

Answers

ANSWER:

$256

EXPLANATION:

Deposited means to put in. So if Claire put in $32 each week for 8 weeks our work should look like this, 32 x 8. Withdrawal means to take out and we aren’t Withdrawing so our answer is $256

A computer manufacturer built a new facility for assembling computers. There were construction and new equipment costs. The company paid for these costs and made combined profits of $40 million after 4 years, while profits increased $30 million per year. Select the linear function in slope-intercept form that models this situation (in millions).
Group of answer choices

y = 160x + 30

y = 40x + 4

y = 30x - 40

y = 30x - 80

Answers

The answer should be A

I need help quickly please

Answers

the answer would be C ( i am not 100% sure though) c= -36x-9

d);

12(3x) = 36x

-12(-3/4) = 9

Abdul runs 8 miles in 60 minutes
How many miles does he run per minute

Answers

Answer:

2/15 mile per minute

Step-by-step explanation:

8 miles in 60 minutes is equivalent to 8/60 miles per minute

= 2/15 mile per minute

Answer:

Step-by-step explanation:

60/8=7.5

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