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erica [24]
3 years ago
6

Numbers 11-14 pls I’m having a lot of trouble

Mathematics
1 answer:
Ksivusya [100]3 years ago
6 0

The term "closed" in math means that if you take two items from a set, do some operation, then you'll always get another value in the same set (sometimes you may get the same value as used before). For example, adding two whole numbers leads to another whole number. We therefore say "the set of whole numbers is closed under addition". This applies to integers as well because integers are positive and negative whole numbers. So we can say that integers are closed under addition.

Integers are not closed under division. Take two integers like 2 an 5 and divide: 2/5 = 0.4 which is not an integer. Integers don't have decimal parts.

The set of whole numbers is {0,1,2,3,...} and we can subtract the two values 1 and 2 to get 1-2 = -1. The order matters here. Subtracting a larger value from a smaller leads to a negative. The value -1 is not in the set of whole numbers. So we can say that whole numbers is not closed under subtraction

Finally, the set of irrational numbers is closed under addition. Adding any two irrational numbers leads to another irrational number. For instance, pi+sqrt(2) = 3.142 + 1.414 = 4.556; I'm using rounded decimals as approximate values. An irrational number is one where we cannot write it as a fraction of integers. Contrast that with a rational number in which we can write it as a fraction of integers. Example: 10 = 10/1 is a rational number.

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A point M on a segment with endpoints X(1, −2) and Y(10, 3) partitions the segment in a 4:1 ratio. Find M. You must show all wor
kow [346]

Answer:

(8.2,2)

Step-by-step explanation:

1.

4:1 ratio means XY divided into 5 equal sections. (5 = 4+1)

4:1 ratio means (4/(4+1))

4:1 ratio means (4/5)

2.

4:1 ratio means M is 4/5 of the way from the initial point X(1, −2)

3.

get the x and y distances between (1, −2) and  (10, 3)

x2-x1=9

y2-y1=5

4.

since  initial point is (1, −2)

you add 1 to the new x value and

you add -2 to the new y value

ANSWERS:

x-coordinate of M = 1 + (4/5)(9) = 1 + 7.2 = 8.2

y-coordinate of M = -2 + (4/5)(5) = -2 + 4 = 2

As we move along XY from X to Y,

x increases by 9 and

y increases by 5

M is the point on XY that is 4/5 of the way from X to Y.

M is 4/5 of the distance from (1,-2) to (10,3).

To find M x and y coordinates 4/5 of distance between (x1,y1) and (x2,y2):

To find M x and y coordinates 4/5 of distance between (1,-2) and (10,3):

x-coordinate of M = 1 + (4/5)(9) = 1 + 7.2 = 8.2

y-coordinate of M = -2 + (4/5)(5) = -2 + 4 = 2

wyzant

jon s.

mark m.

Raymond B.

5 0
1 year ago
What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y?
jok3333 [9.3K]

Answer:

7x + 2y + 4

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

3 + 8x - 2y - x + 1 + 4y

<u>Step 2: Simplify</u>

  1. Combine like terms (x):                                                                                    7x + 3 - 2y + 1 + 4y
  2. Combine like terms (y):                                                                                    7x + 2y + 3 + 1
  3. Combine like terms:                                                                                         7x + 2y + 4
8 0
2 years ago
What is the value of the expression below when z=2 b.
yan [13]

14

Step-by-step explanation:

5(2)^2 -2 -4

5(4)-6

20-6

14

5 0
3 years ago
Read 2 more answers
to gather data for a statistics project, a student asked 10 friends how many hours of sleep they got on the previous night. The
vovikov84 [41]

Answer:

3

Step-by-step explanation:

Given the data: 7 6 5 9 3 4 7 9 5 8

INTERQUARTILE RANGE (IQR) = Q3 - Q1

Rearranging the data: 3, 4, 5, 5, 6, 7, 7, 8, 9, 9

Q3 = 0.75(n+1)th term

Q3 = 0.75(10 + 1) th term

Q3 = 0.75(11)th term = 8.25th term

Taking the 8th term = 8

Q1 = 0.25(11)th term = 2.75th

Taking the average of the 8th and 9th term:

(5 + 5) / 2 = 10/2 = 5

Q3 - Q1 = (8 - 5) = 3

7 0
3 years ago
Find slope for 2x+5y=8?
Nitella [24]
First thing, you need to transform this equation to the form of y = ax + b

So you get:
2x + 5y = 8
5y = -2x + 8
y =  -\frac{2}{5} x +  \frac{8}{5}

In the form of y = ax + b, a is the slope.
In y = -\frac{2}{5} x + \frac{8}{5}, you can see "- \frac{2}{5} x", and always the number before x is the slope
So, the slope of 2x + 5y = 8 is - \frac{2}{5}

Hope this Helps :)
7 0
3 years ago
Read 2 more answers
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