Select the graph for the solution of the open sentence. Click until the correct graph appears. |x| + 1 > 7/2

Answers

Answer 1

The graph is shown below:

What is inequality?

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Rearrange unknown terms to the left side of the equation:

|x| > 7/2-1

Now,

|x| > (7-2)/ 2

Calculate the sum or difference:

|x| > 5/ 2

Convert the absolute inequality to standard inequality:

x> 5/2 or x< -5/2

Solve the inequality:

x> 5/2

Solve the inequality:

x< -5/2

Graph on number line is attached

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Select The Graph For The Solution Of The Open Sentence. Click Until The Correct Graph Appears. |x| +

Related Questions

A circle is defined by the equation given below.

Answers

The centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0

What is a circle?

It is described as a set of points, where each point is at the same distance from a fixed point (called the centre of a circle)

The question is incomplete.

The complete question is:

A circle is defined by the equation given below.

x² + y² − x − 2y − 11/4 = 0

What are the coordinates for the centre of the circle and the length of the radius?

We know the standard form of a circle:

(x - h)² + (y - k)² = r²

Here (h, k) is the centre of the circle and r is the radius of the circle

[tex]\rm x^2 - x + \dfrac{1}{4} + y^2 - 2y + 1= \dfrac{11}{4} +\dfrac{1}{4} + 1\\\\[/tex]

[tex]\rm (x - \dfrac{1}{2})^2+(y-1)^2 = 2^2[/tex]

Thus, the centre of the circle is (1/2, 1) and the radius of the circle is 2 if the circle equation is x² + y² − x − 2y − 11/4 = 0

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Which points would you find on the graph for |x| +1 < 3?
-1
-3
0
1

Answers

The points would you find on the graph for |x| +1 < 3 are -1, 0 and 1

How to determine the points?

The inequality is given as:

|x| + 1 < 3

Subtract 1 from both sides

|x| < 2

This means that the absolute value of x is less than 2

From the list of options, the true values are -1, 0 and 1.

Because their absolute values are less than 2

Hence, the points would you find on the graph for |x| +1 < 3 are -1, 0 and 1

Answers

Answer:

x = 9

Step-by-step explanation:

x-2 = 7

you solve by adding 2 to both sides to maintain equality. and you add by 2 to cancel out the -2 to isolate the x.

x = 9

Answer: 9
if you remove the X with 9 it would be 9-2=7

A small organization is responsible for distributing two craft products made in a small community, these products are jam and bread. The marginal utility function for the jam is f(x) = 55–4x, and the marginal utility for the package of bread is given by g(x) = 37–x.
Find:
a) The total utility function of the jam.
b) The total utility function of bread.
c) If the consumer wants to buy 2 jars of jam and 3 packages of bread, which of the items will produce more utility.

Answers

3 packages of bread would produce more utility than 2 jars of jam

The total utility function of the jam

The marginal utility function of jam is given as:

f(x) = 55 - 4x

Integrate the above function to determine the total utility function

f'(x) = 55x - 2x^2

Hence, the total utility function of the jam is f'(x) = 55x - 2x^2

The total utility function of bread

The marginal utility function of bread is given as:

g(x) = 37 - x

Integrate the above function to determine the total utility function

g'(x) = 37x - 0.5x^2

Hence, the total utility function of the bread is g'(x) = 37x - 0.5x^2

The items that produce more utility

We have:

Jam = 2 jars

Bread = 3 packages

Substitute 2 for x in f'(x) = 55x - 2x^2

f'(2) = 55 * 2 - 2 * 2^2

f'(2) = 102

Substitute 3 for x in g'(x) = 37x - 0.5x^2

g'(3) = 37 * 3 - 0.5 * 3^2

g'(3) = 106.5

106.2 is greater than 102

Hence, 3 packages of bread would produce more utility

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What’s the first step

Answers

Answer:

To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y

x-intercept(s): None

y-intercept(s): (0,5)

Step-by-step explanation:

What is y + 1 = -2x - 3 in standard form

Answers

[tex]y+1=-2x-3\\y=-2x-4\\y+2x=4[/tex]

hi! The work I have is solving linear equations with fractions, i only have practice exercises so they should probably be a bit simple, shown work would be appreciated <3
Just 4 questions
1) y / 3 + 6 = -3 / 2
2) -2 / 3 r - 3 = 3
3) 2 / 3 - 2x = x
4) 7x / 2 + -5 / 2 = 9/2
I’ll add a photo of the problems in a simple format

Answers

The value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2

How to solve the variables?

(1) y/3 + 6 = -3/2

Multiply through by 3

y + 18 = -9/2

Subtract 18 from both sides

y = -18 - 9/2

Take LCM

y = (-18 * 2 - 9)/2

Evaluate

y = -45/2

(2) -2r/3 - 3 = 3

Multiply through by 3

-2r - 9 = 9

Add 9 to both sides

-2r = 18

Divide by 2

r = -9

(3) 2/3 - 2x = x

Multiply through by 3

2 - 6x = 3x

Add 6x to both sides

2 = 9x

Divide by 9

x = 2/9

(4) 7x/2 + -5/2 = 9/2

Multiply through by 2

7x - 5 = 9

Add 5 to both sides

7x = 14

Divide by 7

x = 2

Hence, the value of the variables are y = -45/2, r = -9, x = 2/9 and x = 2

Answers

Answer:

[tex]\frac{4}{60}[/tex] = [tex]\frac{1}{15}[/tex]

Step-by-step explanation:

an inequality that represents each verbal expression.

v is greater than or equal to 5.

Answers

Answer:

v ≥ 5

Step-by-step explanation:

v ≥ 5

What is the area of this triangle?

1375 ft²

1500 ft²

3300 ft²

4500 ft²

Answers

Answer:

Area of a triangle = 1/2 * base * height

here ,

base = 120 ft

height = 25 ft

Area = 1/2* 120*25

= 60 * 25

= 1500 ft²

Answer 2

Answer:

1/2 * base * height

so 1/2 * 25 * 120

= 1500

If you receive a 25% DISCOUNT off an item costing $22.00, how much money do you save?

Answers

Answer:

The amount of money you saved by receiving a discount of 25% is $5.5

Step-by-step explanation:

Discount is the reduction in the price of goods or services offered by shopkeepers at the marked price. Selling price is the actual price at which an article is sold after any reduction or discounts in the cost price.

discount is always calculated on the cost price of the article

formula to calculate the discount and discount %

Discount = List Price - Selling Price

Discount (%) = (Discount/cost price) × 100

here, in the question discount % is given = 25%

cost price of the item = $22

therefore using the above mentioned discount percentage formula:

25 = (Discount/22)×100

25/100 = Discount/ 22

0.25 × 22 = Discount

$5.5 = Discount

thus ,

the amount of many you saved by receiving a discount of 25% is $5.5

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[20 Points]
Add the expressions 4- 2/3b+ 1/4a and 1/2a + 1/6b -7 . What is the simplified sum?
A: -1/6a + 5/12b - 3
B: 3/4a + 1/2b - 3
C: 3/4a + 5/6b - 3
D: 5/12a - 1/6b - 3

Answers

Answer:

B: 3/4a + 1/2b - 3

Step-by-step explanation:

Which currency is it

Answers

Answer:

pounds (£)

Step-by-step explanation:

pounds are used in countries such as the UK and South Georgia

There is a swimming pool which has a length of 15 m and a width of 12 m. There is a 2 m wide path around the pool. If the cost of the path is $5 per , what is the cost of the path? Use words, numbers, and/or symbols to justify your answer.

Answers

The cost of the path around the swimming pool with length 15m and width 12m is $1,190

Area of a rectangle

Length = 15mWidth = 12m

Pathway with 2m wide:

Length = 15m + 2m = 17mWidth = 12m + 2m = 14m

Area of the path = length × width

= 17m × 14m

= 238 square meters

Cost of the path = $5 per square meter

Total cost of the path = 238 square meters × $5

= $1,190

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Which graph represents a function? A. B. C. D. E.

Answers

Answer:

Graph B

Step-by-step explanation:

In order for a graph to represent a function, it needs to pass the vertical line test. In this case, graph B is the only one that passes the vertical line test.

Hope this helped :)

1. A bus traveled for 4 hours and 30 minutes to travel 183 miles. What was it's average speed?
A. 42.56 mph
B. 40.67 mph
C. 32.09 mph
D. 30.67 mph

Answers

Answer:

B or 40.67mph

Step-by-step explanation:

To solve we will use formula distance over total time, so are distance is 183miles and are time is 4 hours and 30 minutes. If we put that in hours we get 4.5 hours. Now we simply divide 183/4.5 to get about 40.67 .

A coordinate plane with 2 lines. The first line is labeled y equals f(x) and passes through (0, 4) and (1, 1) The second line is labeled y - g(x) and is horizontal passing through (negative 2, 2), (0, 2), and (2, 2). The lines intersect at a point that is slightly to the right of (0.5, 2).
If f(x) = −3x + 4 and g(x) = 2, solve for the value of x for which f(x) = g(x) is true.

Answers

The value of x if both lines intersect is 2/3

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given the equation of a line that passed through the points (0, 4) and (1, 1) expressed as h(x) = -3x +4

The equation of the second line g(x) passing through the points (-2, 2) and (0, 2) is g(x) = 2

If the lines intersect, then h(x) = g(x)

Substituting the functions to get the value of "x"

-3x + 4 = 2

Subtract 4 from both sides

-3x + 4 - 4 = 2 - 4

-3x = - 2

Divide both sides by - 3

x = 2 / 3

Hence the value of x if both lines intersect is 2/3

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Answer:

2/3

Step-by-step explanation:

edge23

Missing angles/math please help guys

Answers

Answer:

Step-by-step explanation:

what is the moop3fngonoi9w

Answers

Hbubvr vunnigvvtfryyfsgg

If salt (5.99 × 10–6 mol) is dissolved in 1.50 × 10–2 l of water, which expression can be used to find the molarity of the resulting solution? 2.50 × 10-8 m 2.50 × 103 m 3.99 × 10–4 m 3.99 × 104 m

Answers

The molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M

Molarity of a solution

From the question, we are to determine the molarity of the resulting solution

From the given information,

Number of moles = 5.99 × 10⁻⁶ mol

Volume = 1.50 × 10⁻² L

Using the formula,

Molarity = Number moles / Volume

∴ Molarity = (5.99 × 10⁻⁶) / (1.50 × 10⁻²)
Molarity = 3.99 × 10⁻⁴ M

Hence, the molarity of the resulting solution is 3.99 × 10⁻⁴ M. The correct option is the third option 3.99 × 10⁻⁴ M

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Answer:

The answer is 3.99 × 10–4 M

Step-by-step explanation:

I just did the assignment on Edge :)

The scores of a high school entrance exam are approximately normally distributed with a given mean mu = 82.4 and standard deviation sigma = 3.3. what percentage of the scores are between 75.8 and 89? 68% 95% 99.7% 100%

Answers

The percentage of the scores that are between 75.8 and 89 is; 95%

How to find the percentage from z-score?

We are given;

Population mean; μ

Standard deviation; σ = 3.3

Thus;

z-score for a mean score of 75.8 is;

z = (75.8 - 82.4)/3.3

z = -2

z-score for a mean score of 89 is;

z = (89 - 82.4)/3.3

z = 2

From online p-value from z-score calculator, the p-value between both z-scores is;

p-value = 0.9545 = 95.45%

Approximating to the nearest percent = 95%

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Answer:

Step-by-step explanation:

it is

This is my final please help

Answers

Thw measurements based on the arrow on the rulers will be:

A= 1.3cm

B = 2.1 cm

C = 3.4cm

D = 4.4cm

E = 5.5cm

F = 7cm

G = 8.2cm

H = 10.3cm

I = 11cm

J = 11.7cm

K = 12.7cm

L = 14.7cm

How to depict the measurement?

It should be noted that 10 millimeters make 1 cm. Therefore, to convert the centimeters to millimeters, you simply have to multiply by 10.

A = 1.3cm × 10 = 13mm

B = 2.1cm = 21mm

C = 3.4 × 10 = 34m

Using same method, the value of the remaining will be:

D = 44mm

E = 55mm

F = 70mm

G = 82mm

H = 103mm

I = 110mm

J = 117mm

K = 127mm

L = 147mm

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B, C and D are points on the circumference of a circle, centre O.
AB and AD are tangents to the circle.

Angle DAB = 50 degrees

Work out the size of angle BCD.

Answers

Construct OD and BD. Then, in quadrilateral ABOD, angles ODA and OBA are right angles and thus angle DOB is 130 degrees (since angles in a quadrilateral add to 360 degrees).

So, this means arc DB also measures 130 degrees. Hence, by the inscribed angle theorem, angle BCD is 65 degrees.

pls help i dont understand .Thankkk uuu!!!!

Answers

the third one because eighteen does not have factor that can be added or subtracted to make 3 ;)

Abigail works as a salesperson at an electronics store and sells phone: accessories. Abigail earns a $12 commission for every phone she sells commission for every accessory she sells. On a given day, Abigail mad $258 in commission and sold 6 more accessories than phones. Write a equations that could be used to determine the number of phones sold a number of accessories sold Define the variables that you use to write thigail works as a salesperson at an electronics store and sells phones and phone cessories. Abigail earns a $12 commission for every phone she sells and a $3 mmission for every accessory she sells. On a given day, Abigail made a total of 258 in commission and sold 6 more accessories than phones. Write a system of quations that could be used to determine the number of phones sold and the umber of accessories sol Define the variables that you use to write the system.

Answers

The system of equations are:

$12p + $3a = $258

a - p = 6

Where:

a = phone accessories p = phone

What are the system of equations?

Two linear equations would be derived from the question. The linear equations would be a function of the phones and accessories sold. These equations are known as simultaneous equations and they would have to be solved together in order to determine the required values.

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Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form

Answers

Answer:

y = 3/4x + 2

Step-by-step explanation:

let me know if you want an explanation :))

The table shows some information about the lifetimes,
t
, in hours, of some lightbulbs.

Lifetime Frequency
25 <
t
≤ 50 70
50 <
t
≤ 100 76
100 <
t
≤ 150 29
150 <
t
≤ 200 91
200 <
t
≤ 250 0
250 <
t
≤ 300 15
300 <
t
≤ 350 23

Estimate the mean lifetime of a bulb.
Give your answer rounded to 2 DP.

Answers

Answer:

25 < t < 350

Step-by-step explanation:

The mean lifetime of a bulb ranges from 25 to 350 hrs but the question is unclear.

Need help with this question (pic included)

Answers

Answer:

answer= 3

hope this helps if not I'll try to do it again

(X-5)\(3x^2-14x-5) solve by polynomial long division

Answers

Answer: 3x+1

Step-by-step explanation: See attachment

a cylinder tin,7cm high,is closed at one end.if its total surface area is 462cmsquare,calculate its radius

Answers

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The radius of the cylindrical tin is 7 cm.

What is a cylinder?

A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centers overlap each other to form a right cylinder.

The height of the cylindrical tin can is 7 cm, while the total surface area is 462 cm². Therefore, the total surface area of the tin will be,

The total surface area = area of base + Lateral surface area

462 cm² = πR² + 2πRH

462 = π(R² + 2R7)

147 = R² + 14R

R² + 14R - 147 = 0

R = 7, -21

Since the radius can not be negative.

Hence, the radius of the cylindrical tin is 7 cm.

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