Answer: The function is not one-to-one
Step-by-step explanation:
An one-to-one function is such that no two elements in the domain correspond to the same element in the range.
Now, we have the function:
y = f(x) = round(x)
Which rounds x to the nearest whole number.
Now, to round to the next whole number we must look at the first number after the decimal point.
If that number is 5 or larger, we round up
If that number is smaller than 5, we round down.
Then, for example:
f(1.2) = 1
because the first number after the decimal point is smaller than 5.
and:
f(1.1) = 1
f(1.2) = 1
f(1.2423) = 1
f(1.348) = 1
So we have a lot (if x is real, we have infinite) values of x that are maped into the same value in the range.
Then this can not be an one-to-one function.
Answer:
k = 30
Step-by-step explanation:
<h3>The time in fourth race is 43.04 seconds</h3>
<em><u>Solution:</u></em>
Given that,
Shelly is trying to improve her running time for a track race
She ran the first race in 43.13 seconds
Her time was 43.1 seconds in the second race and 43.07 seconds in the third race
<em><u>Therefore, pattern is:</u></em>
43.13, 43.1, 43.07 , ..
<em><u>Find the difference between each terms</u></em>
d = 43.13 - 43.1 = 0.03
d = 43.1 - 43.07 = 0.03
Thus the difference is same
<em><u>If this pattern continues what will shellys time be in the fourth race?</u></em>
Fourth race = third race - 0.03
Fourth race = 43.07 - 0.03 = 43.04
Thus the time in fourth race is 43.04 seconds
Since it reads 1 hundreds, that means 100. 4 ones mean 4 * 1, which is 4. 2 tens means 2 * 10, which is 20. Add those together and you get 124. Where it reads "1 tenth", that means 0.1
Therefore, the number is 124.1
