Answer:
How do you figure out if a relation is a function? You could set up the relation as a table of ordered pairs. Then, test to see if each element in the domain is matched with exactly one element in the range. If so, you have a function!
Step-by-step explanation:
The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by .
What is a function?
- A function in mathematics from a set X(ax) to a set Y allocates exactly one element of Y to each element of X(ax).
- A relation between a collection of inputs and labor is known as a function.
You can use the fact that the raise is done on the previous year's salary.
Let the initial salary be P = $24000
After 1 year, her salary increased by R = 3.5% which, thus,
Total salary = P + increment
Similarly going on, we get
(we can say)
Putting values of P(value of P) and R(value of R), we get
Thus,
The function that Ngozi's salary s(t) in dollars, t years after she starts to work as an interpreter is given by
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Answer:
The inequality describing the situation is:
Step-by-step explanation:
Joe works as a busboy at the rate of = $7 per hour
Let the number of hours he works as a bus boy this month be = hours
∴ Amount Joe would make this month working as a busboy =
Joe works as a theater usher at the rate of = $9 per hour
Let the number of hours he works as a theater usher this month be = hours
∴ Amount Joe would make this month working as a theater usher =
Total amount Joe would make this month =
His goal is earn more than $1500 this month.
∴ The situation can be represented in the following inequality:
10
10
10
10
6
should be the answer
The distance between Branch A and Branch B is given by the Pythagoras theorem
AB² = (Vertical Distance)² + (Horizontal Distance)²
AB² = (4-1)² + (1 - -3)²
AB² = 3² + 4²
AB² = 9 + 16
AB² = 25
AB = 5
BC² = (Vertical distance)² + (Horizontal distance)²
BC² = (-2 - 4)² + (5-1)²
BC² = (-6)² + (4)²
BC² = 36 + 16
BC² = 52
BC = 7.21
Half way of BC = 7.21 ÷ 2 = 3.6 miles
Total distance travelled from A to B and then halfway from B to C is 3.6+5 = 8.6 miles