-59 = m - 11, m = ? i dont know the answer
2 answers:
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Answer:
a)TRUE
b)FALSE
c)TRUE
d)FALSE
e)TRUE
f)TRUE
g)TRUE
h)FALSE
i)FALSE
j)TRUE
Step-by-step explanation:
a) For every x there is y such that :
TRUE
This statement is true, because for every real number there is a square number of that number, and that square number is also a real number. For example, if we take 6.5, there is a square of that number and it equals 39.0625.
b) For every x there is y such that :
FALSE
For example, if x = -1, there is no such real number so that its square equals -1.
c) There is x for every y such that xy = 0
TRUE
If we put x = 0, then for every y it will be xy=0*y=0
d)There are x and y such that
FALSE
There are no such numbers. If we rewrite the equation we obtain an incorrect statement:
e)For every x, if there is y such that xy=1:
TRUE
The statement is true. If we have a number x, then multiplying x with 1/x (Since x is not equal to 0 we can do this for ever real number) gives 1 as a result.
f)There is x for every y such that if then xy=1.
TRUE
The statement is equivalent to the statement in e)
g)For every x there is y such that x+y = 1
TRUE
The statement says that for every real number x there is a real number y such that x+y = 1, i.e. y = 1-x
So, the statement says that for every real umber there is a real number that is equal to 1-that number
h) There are x and y such that
We have to solve this system of equations.
From the first equation it yields x=2-2y and inserting that into the second equation we have:
Which is obviously false statement, so there are no such x and y that satisfy the equations.
FALSE
i)For every x there is y such that
We have to solve this system of equations.
From the first equation it yields and inserting that into the second equation we obtain:
Inserting that back to the first equation we obtain
So, there is an unique solution to this equations:
x=1 and y=1
The statement is FALSE, because only for x=1 (and not for every x) exists y (y=1) such that
j)For every x and y there is a z such that
TRUE
The statament is true for all real numbers, we can always find such z. z is a number that is halway from x and from y.
In the carnival the number of games number of rides Wyatt went on is 3 and 6 respectively.
<h3>What is system of equation?</h3>
A system of equation is the set of equation in which the finite set of equation is present for which the common solution is sought.
The number of unknown objects can be find using the system of solution.
Given information-
The cost of each game is $1.25.
The cost of each ride is $2.75.
Total amount of money spent by the Wyatt is $20.25.
The number of rides he went on is twice the number of games he played.
Suppose the number of games Wyatt played is x and the number of rides he went in the carnival is <em>y. </em>
As, the number of rides he went on is twice the number of games he played. Thus,
Let the above equation as equation one.
As total amount of money spent by the Wyatt is $20.25 and The cost of each game is $1.25 and the cost of each ride is $2.75. Thus,
Put the value of y in the above equation from the equation one as,
Thus the number of games he played is 3.
Put this value of <em>x </em>in the equation one as,
Thus the number rides Wyatt went on is 6.
Hence, In the carnival the number of games number of rides, Wyatt went on is 3 and 6 respectively.
Learn more about the system of equations here;