Find the domain. Y= 1-7x / 8-|3x-15|

The set X is convex.

In geometry, a subset of an affine space over the real numbers, or more broadly a subset of a Euclidean space, is said to be convex if it contains the entire line segment connecting any two points in the subset. A solid cube is an example of a convex set, whereas anything hollow or with an indent, such as a crescent shape, is not. Alternatively, a convex region is a subset that crosses every line into a single line segment.

b)The set X is convex as any two points on the set X is included in the whole set as x>0. So a line joining any two points on the set X is completely inside the set x.

c)set X is not a closed set as the compliment of the set is not an open set.

d)Set X is not bounded. If a set S contains both upper and lower bounds, it is said to be bounded. A set of real numbers is therefore said to be bounded if it fits inside a defined range. hence set x is not bounded.

To learn more about convex sets:

https://brainly.com/question/12577430

#SPJ9

Joe earned $140 for working 20 hours

To determine the value of a single unit from a specified multiple, use the unitary technique. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Joe worked 14 hours  and earned = $119

Joe worked for 1 hour and earned = $ 119/ 14

Joe worked for 20 hours and earned = $ 119/ 14 x 20

                                                                 = 4140

To learn more about unitary method,  https://brainly.com/question/24587372

#SPJ9

Answer:

14

Step-by-step explanation:

B is the midpoint of AC, in other words it is the halfway point.

So A to B should be equal to B to C

Our expression is:

2x + 9 = 37

Subtract 9

2x = 28

Divide by 2

x = 14

Answer:

if this shape has greater that's obtuse

Answer:

18

Step-by-step explanation:

Distribute the 2 to the terms inside the parenthesis.

24=8+2y-20

Combine like terms

24=2y-12

Add 12 to 24

36=2y

Divide by 2

18=y

Answer:

18

Step-by-step explanation:

24 = 8 + 2 (y-10)

24-8 = 8 + 2 (y-10) -8

16 = 2 (y-10)

16 = 2y - 20

16 + 20 = 2y -20 + 20

36 = 2y

36/2 = 2y/2

18 = y

Answer:4000 meters

Step-by-step explanation: 1 kilometer =1,000 meters

The daily success rate of the toll-free answers is 87.5%.

Now, as per the given data;

The number of consumer information asked in one day is 120.

Total number of toll-free consumer's question answered = 105.

To find the daily success rate, determine the percentage of 105.

Let the x% of the total be 115.

Thus, x% of 120 = 105

x × 120/100 = 105

12x = 1050

x = 1050/12

x = 87.5 %

Therefore, the answer rate of the toll-free is 87.5%,

To know more about the percentage, here

https://brainly.com/question/24304697

#SPJ9

13.25 represents the fee for renting a bicycle for 1 day;

13.25 × 5 + 6.5 = Total Cost

Since, helmet's fee does not depend upon days;

 13.25 represents the fee for renting a bicycle for 1 day;

For 5 days; 13.25 × 5 represents the fee for renting a bicycle for 5 days;

To learn more about this; visit: https://brainly.com/question/10466695

#SPJ9

The number of feet the submarine ascended is the same as the number of feet f below sea level.

A number line is a straight line with a zero point in the middle and positive and negative numbers listed on either side of zero and going on indefinitely.

We have,

The submarine is at feet f below sea level.

We represent the distance below sea level by a negative number.

We represent ascended by a positive number.

So the distance traveled by submarine is:

= Distance below sea level + Distance ascended

= (-f) + distance ascended

We have,

The submarine ascended to 0 feet above sea level.

This means,

The distance traveled by submarine = 0

Distance below sea level + Distance ascended = 0

(-f) + Distance ascended = 0

Distance ascended = f

Thus the number of feet the submarine ascended is same as the number of feet f below sea level.

Learn more about number line here:

https://brainly.com/question/619161

#SPJ1

Answer:

5.3 x 10^-23 g

Answer:

  E = mc²

Step-by-step explanation:

You want an example of a literal equation.

A literal equation is one that uses variable names to represent numerical values.

Any equation that has no numbers is a literal equation.

One of the more famous literal equations in the world is Einstein's relation between mass and energy:

  E = mc²

We use literal equations as formulas for length, area, volume, and relations between chemical and engineering properties.

  P = 2(L+W) . . . . perimeter of a rectangle with length L and width W

  V = I·R . . . . voltage in a circuit with current I and resistance R

  PV = nRT . . . . ideal gas law relating pressure, volume, temperature, and quantity of gas

The distance between -10 and 5 on a number line is 15

From the question, we are to determine the distance between the given points on a number line

The given points are -10 and 5

On a number line, the distance between any two points is the difference between the largest number and the smallest number

That is,

Distance between two points on a number line = Value of the largest number - Value of the smallest number

The given points are -10 and 5

The largest number is 5

and

The smallest number is -10

Thus,

Distance between -10 and 5 on a number line = 5 - -10

Distance between -10 and 5 on a number line = 5 + 10

Distance between -10 and 5 on a number line = 15

Hence, the distance between -10 and 5 on a number line is 15

Learn more on Distance between points on a number line here: https://brainly.com/question/17143316

#SPJ1

The answer and all work is shown in the provided screenshot! :)

Have a great day!

Answer:

Step-by-step explanation:

Answer: 4.631*10^5

Step-by-step explanation:

463,100=

400,000+63,100=

4*100,000+(63,100/100,000)*100,000=

4*10^5+(631/1000)*10^5=

4*10^5+0.631*10^5=

(4+0.631)*10^5=4.631*10^5

The value of exponents when 463,100 is written in scientific notation is 5.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Scientific notation is a way to represent numbers in exponents form of 10

For example 2.245 × 10³

Given that,

Number of books in library = 463,100

Multiply and divide by 10⁵

⇒ 463,100 × 10⁵/10⁵

⇒ 4.63100 × 10⁵

Hence "The value of exponents when 463,100 is written in scientific notation is 5".

For more about the number system,

https://brainly.com/question/22046046

#SPJ2

Answer:

  2x +3y = -27

Step-by-step explanation:

You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).

A parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.

To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:

  2x +3y = c

  2(-3) +3(-7) = c = -6 -21 = -27

The desired equation is ...

  2x +3y = -27

Answer:

it's is the way to do it

Step-by-step explanation:

the equation is X-4y-35

The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.

Rounding off number:

1)Round the number up if 5, 6, 7, 8, or 9 follow the number you are rounding.

2)Round the number down if the rounded number is followed by a 0, 1, 2, 3, or 4.

The given numbers are 493 and 917

The rounding-off number of 493 is

⇒493, The last number is 3, need to decrease and round off⇒490

The rounding-off number of 917 is

⇒917, The last numberis 7, need to increase and round off⇒920

Therefore, The rounding off a number of 493 is 490 and The rounding off a number of 917 is 920.

Learn more about numbers here:

https://brainly.com/question/17429689

#SPJ9

given ∛1000

∛1000 = ∛(10 × 10 × 10)

∛1000 = 10

The values of x and y are 25° and 33° respectively.

It is important to note the following;

From the information given, we have that

Angles 5x + 4 and 3x - 24 are supplementary.

This is represented as;

5x + 5 + 3x - 24 = 180

collect like terms

8x = 180 + 20

add lik terms

8x = 200

x = 200/8

x = 25°

Also,

2y and 114 are on a straight line

This is represented as;

2y + 114 = 180

collect like terms

2y = 180 - 114

2y = 66

Make 'y' the subject

y = 66/2

y = 33°

Thus, the values of x and y are 25° and 33° respectively.

Learn more about supplementary angles here:

https://brainly.com/question/2046046

#SPJ1

Answer: 314

Step-by-step explanation: I am not sure what this question is asking me to do, but a number between 300 and 350 is 314, if that helps.

Answer:

Step-by-step explanation:

First I would begin by dividing both sides by 4

4(x+y) = 48     4/4 = 1      48/4 = 12

x + y = 12

next I'm going to assume this is needed in y = mx+b format so I will solve for y by subtracting the x:

y = -x + 12

this line has a slope of -1 and has a y-intercept at 12.

The measure of each of the supplementary angles are: 88.6° and 91.4°.

Based on the definition of supplementary angles, the sum of two angles that are supplementary equals 180 degrees.

Given the following:

Let one of the angles equal x

The second angle would be expressed as: x + 2.8

Therefore, we would have the equation:

x + 2.8 + x = 180 [supplementary angles]

2x + 2.8 = 180

2x = 180 - 2.8

2x = 177.2

x = 177.2/2

x = 88.6

Thus:

One of the angles = x = 88.6°

Th second angle is: x + 2.8 = 88.6 + 2.8 = 91.4°

Therefore, the measure of each of the supplementary angles are: 88.6° and 91.4°.

Learn more about supplementary angles on:

https://brainly.com/question/8992900

#SPJ1

Answer:

x cannot equal seven, there's a mark for it in RSM menu

Step-by-step explanation:

so the answer is y = -7

Answer:

1/9

Step-by-step explanation:

[tex]y = - 9x - 4[/tex]

The slope of the perpendicular line is the interverse(opposite) of the slope of the original line.

Hope this helps!

Have any questions? Feel free to ask!

Answer:

150 ?

Step-by-step explanation:

150*2 = 300 / 2 = 150

Answer:

the answer is 150

Step-by-step explanation:

150×2÷2

150×1

150

People of the US will spend 24 billons dollars on statins in the year 2008.

An equation sometimes represents the output for a given specified input.

The amount of sales(S) of a top-selling cholesterol control drug statin is given by the equation S - 1.8x = 6.

Assuming x represents the number of years.

In the given question number of years is (2088-1998) = 10 years.

now we have to substitute these values in the sales of statins which will be

S - 1.8(10) = 6 in billions of dollars.

S - 1.8(10) = 6 billion dollars.

S - 18 = 6 billions.

S = 6 + 18 billions.

S = 24 billion dollars.

learn more about equations here :

https://brainly.com/question/10413253

#SPJ1

The inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p

What is inequality?

From the information given, we have that;

Area of the small pizza = 730(seven hundred thirty) square centimeters

p  = area of the larger pizza

In writing inequality, we have to use the signs

<  less than

> greater than

Since p has a greater area, we have

730(seven hundred thirty) < p

Thus, the inequality that describes p, the area of a pizza that is larger than a small pizza 730(seven hundred thirty) < p

Learn more about inequality here:

https://brainly.com/question/11613554

#SPJ9

Answer:

1/4

Step-by-step explanation:

12 cm x 1/4 = 3 cm

also i already learned scaled copys  

Answer: The scale factor used in figure 2 is 1/4 or one fourth

Step-by-step explanation:

Hope this helps!

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

A picture of the original quadrilateral ABCD is attached aside and we are asked to generated a scaled copy of the quadrilateral ABCD using a scale factor of 2. First, we generate two orthogonal axes (x, y) and we assume that the center of dilation is at point A.

The coordinates of each point of the original quadrilateral are A(x, y) = (1, 9), B(x, y) = (3, 9), C(x, y) = (2, 7) and D(x, y) = (1, 8).

Second, determine the coordinates of the new quadrilateral by using the dilation formula:

P'(x, y) = O(x, y) + k · [P(x, y) - O(x, y)]          

Where:

If we know that O(x, y) = (1, 9) and k = 2, then coordinates of the dilated point are:

A'(x, y) = (1, 9) + 2 · [(1, 9) - (1, 9)]

A'(x, y) = (1, 9)

B'(x, y) = (1, 9) + 2 · [(3, 9) - (1, 9)]

B'(x, y) = (1, 9) + 2 · (2, 0)

B'(x, y) = (1, 9) + (4, 0)

B'(x, y) = (5, 9)

C'(x, y) = (1, 9) + 2 · [(2, 7) - (1, 9)]

C'(x, y) = (1, 9) + 2 · (1, - 2)

C'(x, y) = (1, 9) + (2, - 4)

C'(x, y) = (3, 5)

D'(x, y) = (1, 9) + 2 · [(1, 8) - (1, 9)]

D'(x, y) = (1, 9) + 2 · (0, - 1)

D'(x, y) = (1, 9) + (0, - 2)

D'(x, y) = (1, 7)

The coordinates of the scaled copy of the quadrilateral ABCD using a scale factor of 2 are A'(x, y) = (1, 9), B'(x, y) = (5, 9), C'(x, y) = (3, 5) and D'(x, y) = (1, 7).

To learn more on dilations: https://brainly.com/question/13176891

#SPJ1

Answer:

6x + 9 = 4

Step-by-step explanation:

Answer: 300

Step-by-step explanation: