I need your help please!
1 answer:
You might be interested in
Answer:
Options (2), (3), (5) and (6)
Step-by-step explanation:
Let the number of bicycles = x
and the number of treadmills = y
Since, number of new bicycles must be more than times of new treadmills,
Inequality representing the statement will be,
x > y
Each bicycle costs $340 and each treadmill costs $670.He must spend less than $5650,
Inequality will be,
340x + 670y < 5650
And the number of bicycles and treadmills should be greater than 0.
x > 0
y > 0
Therefore, constraints for this situation are,
Option (2)
Option (3)
Option (5)
Option (6)
Answer:
Only function (a) is one-to-one.
Step-by-step explanation:
If every element of the range of the function corresponds to exactly one element of the domain, then the function is called one-to-one.
The elements of a function are
A = {a,b,c,d}
We need to check whether is one to one or not.
(a)
f (a) = b, f (b) = a, f (c) = c, f (d) = d
Here, for each value of x, there exist exactly one value of y.
Therefore, this function is one-to-one.
(b)
f (a) = b, f (b) = b, f (c) = d, f (d) = c
Here, the value of function is b for x=a and x=b. For two domains the functions has same range.
Therefore, this function is not one-to-one.
(c)
f (a) = d, f (b) = b, f (c) = c, f (d) = d
Here, the value of function is d for x=a and x=d. For two domains the functions has same range.
Therefore, this function is not one-to-one.