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vfiekz [6]
3 years ago
5

Please help with the ones you can do. It’s due tomorrow

Mathematics
1 answer:
tia_tia [17]3 years ago
7 0
Hope that helps you, Good luck!

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Rewrite the following statements less formally, without using variables. Determine, as best as you can, whether the statements a
Anni [7]

Answer:

The answer is given below

Step-by-step explanation:

a) Let u and v be real numbers. The sum of u and v = u + v and the difference between u and v = u - v.

u + v < u - v means the sum of two real numbers is less than the difference between the two numbers.

There exist two real numbers such that their sum is less than the difference between them

This is true when atleast one of the numbers is negative, for example u = 2 and v = -2

u + v = 2 + (-2) = 0 , u - v = 2 - (-2) = 4

u + v < u - v.

b) Let x be a real number and x² be the square of the real number

x² < x means that the square of a real number is less than the real number

We can rewrite the statement as: There exist a real number such that its square is smaller than itself.

The statement is true for x is between 0 and ±1

E.g. for x = 1/2, x² = (1/2)² = 1/4

1/4 < 1/2

c) Let n represent all positive integers. n² is the square of n.

n²≥n means that the square of n is greater or equal to n.

We can rewrite the statement as: For all positive integer numbers, the square of the number is greater than or equal to the number itself

The statement is true.

1² ≥ 1, 2² ≥ 2 e.t.c

d)  Let a and b be real numbers. The sum of a and b = a + b. |a| is the absolute value of a and |b| is the absolute value of b

|a+b|≤|a|+|b| means the absolute value of the sum of two real numbers is less than or equal to the sum of their individual absolute value.

We can rewrite the statement as: For two real numbers, the absolute value of their sum is less than or equal to their individual absolute value sum.

This statement is true for all real numbers.

4 0
2 years ago
Rohit wants to find the best model for a bivariate data set. He used a calculator to create a linear model, a quadratic model, a
san4es73 [151]

The answer is quadratic, I took the test.

8 0
3 years ago
Read 2 more answers
You have a square piece of paper. Where do you cut it to make a regular octagon?
gregori [183]
Cut the 4 corners off and you will have an 8-sided octagon
6 0
3 years ago
Could someone help me with this question
Lelechka [254]

Answer:

try b=32

Step-by-step explanation:

6 0
3 years ago
How is a rectangle similar to a square?
STatiana [176]

Answer:

So a square is a special kind of rectangle, it is one where all the sides have the same length. Thus every square is a rectangle because it is a quadrilateral with all four angles right angles. However not every rectangle is a square, to be a square its sides must have the same length.

Hope this helps!


7 0
3 years ago
Read 2 more answers
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