Answer:
- The function is injective but nor surjective
Step-by-step explanation:
<u>We see that:</u>
<u>For any x₁ and x₂ ∈ N, </u>
- f(x) = x₁³ = x₂³ ⇒ x₁ = x₂, both are natural numbers
It it confirmed one-to-one, hence it is injective
<u>Check the surjectivity:</u>
f(x) = y ∈ N
<u>Let y = 2, then:</u>
Since x is not natural, the function is not surjective
5x ÷ x² - 9 + 7 ÷ x + 3
Write the division as a fraction:
- 9 +
+ 3
Simplify the expression:
- 9 +
+ 3
Calculate the sum:
- 6 + 
Write all numerators above the common denominator:

Add the numbers and you get the final answer:

0.405, 0.45 , 0.5 , 4.5 : Least to greatest!
Answer:
The marked price of the watch is $2,702.27.
Step-by-step explanation:
Since allowing 20% discount on the marked price of a watch, the value of the watch will be Rs. 2378, to determine, if the VAT of 10% is added, it's marked price, the following calculation must be performed:
1 - 0.2 = 0.8
0.8 x 1.1 = 2378
0.88 = 2378
0.88 = 2378
0.8 = X
0.8 x 2378 / 0.88 = X
1,902.4 / 0.88 = X
2,161.81 = X
0.8 = 2,161.81
1 = X
2,161.81 / 0.8 = X
2,702.27 = X
Therefore, the marked price of the watch is 2,702.27.
Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)
Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:

The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.
Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.
y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.