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DIA [1.3K]
3 years ago
9

Use the facts that the negation of a ∀ statement is a ∃ statement and that the negation of an if-then statement is an and statem

ent to rewrite the statement without using the words necessary or sufficient. Having a large income is not a necessary condition for a person to be happy.
Mathematics
1 answer:
marin [14]3 years ago
7 0

Answer:

it`s not true that for every person, if the person is happy, the person has a large income/there are people that are happy and doesn't have large incomes

Step-by-step explanation:

let be x the group of people in the world

let be I(X)=x has a large income

let be H(x)=x is happy

Having a large income is not a necessary condition for a person to be happy.

¬∀x, H(x)-->I(x)

<em>it`s not true that for every person, if the person is happy, the person has a large income</em>

∃x /  H(x)^¬I(x)

<em>there are people that are happy and doesn't have large incomes</em>

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If (-3, y) lies on the graph of y = 3^x, then y =<br><br> 1/27<br> -1<br> -27
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1/27

Cuz y=3^(-3)=1/(3^3)=1/27
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4 years ago
1. What is the value of the y-coordinate of the solution to the system of equations x + 2y = 9 and x - y = 3? 1) 6 3) 3 2) 2 4)
Andreyy89

Answer:

2) 2

Step-by-step explanation:

Subtract each equation from each other

x + 2y = 9

<u>-x+  y  = -3</u>

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3       3

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3 years ago
Find the value of x.
juin [17]

Assuming those lines are parallel, then this means the alternate interior angles are the same measure

3x-26 = 2x

3x-26+26 = 2x+26 ... adding 26 to both sides

3x = 2x+26

3x-2x = 2x+26-2x ... subtracting 2x from both sides

3x-2x = 26

<h3>x = 26 is the answer</h3>
8 0
3 years ago
Each parking space will be 19 feet by 8 feet. what is the maximum number of parking spaces that will fit in the lot? 10 30 35 40
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The maximum number of parking spaces that will fit in the lot given the area of the parking lot is 30.

<h3>what is the maximum number of parking spaces that will fit in the lot? </h3>

The parking lot has the shape of a rectangle. The area of a rectangle is length x width

The area of the available parking space =  length of the lot - [width of the lot - (width of the alley x 2)

80 x (77 - 10 - 10) = 4560 ft²

Maximum number of parking spaces = 4560 / (19 x 8) = 30

Please find attached the complete question. To learn more about how to calculate the area of a rectangle, please check: brainly.com/question/16595449

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