Answer:
Step-by-step explanation:
first we will break the parts of the question down:
d= distance
t= time
function: d=t(60)
the <em>independent </em>variable is t, time, because the (distance) that the car travels <u>depends </u> on how long the car has been traveling for (time) meaning that the dependent value is distance.
A table we can create with 5 coordinate pairs is:
(time) (distance)
1 hr 60miles
2 hr 120 miles
3 hr 180 miles
4 hr 240 miles
5 hr 300 miles
(to graph the coordinate pairs, you can graph the points listed in the table. the time value represents the x value since it is the independent variable, and the y value will be the distance values since it is dependent.)
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Answer:
f(-2) = -1
f(0) = -5
f(4) = -1
Step-by-step explanation:
The number inside of f( ) is telling you which equation to use to get the answer.
Example:
f(-2) since -2 is less than 0 you would use (x^2) - 5. So, ((-2)^2) - 5 = 4-5 = -1
f(0) since 0 is less than or equal to 0 you would use (x^2) - 5 again. So, ((0)^2) - 5 = 0-5 = -5
f(4) since 4 is grater than 3 you would use (2^(x-1)) - 9. So, (2^(4-1)) - 9 = -1
<u><em>The Graph, try to make it as straight as possible</em></u>
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Do solve this you use PEMDAS. This stands for:
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction
Because there are no parentheses or exponents in this equation, we go straight to the division.
1) 8 divided by 4 equals two so we rewrite the equation. 5+6 x 2 - 2 + 7.
2) Next in order of pemdas is multiplication. Yes I know that in pemdas multiplication does come before division but it doesn’t matter in this problem which you do first. So now we do 6 x2 =12. We then rewrite the equation 5+12-2+7.
3) lastly, addition and subtraction are grouped together and you can just do it in order of the problem. So we do 5+12=17. 17-2=15. And 15+7=22.
So the final answer is: 22
You can try them out and see which one works.
a: f(2) = f(1) +6 = 5+6 = 11 . . . . . . not this one
b: f(1) = f(2) -6 = -1-6 = -7 . . . . . . not this one (5 ≠ -7)
c: f(2) = f(1) - 6 = 5 - 6 = -1 . . . . . this gives the right f(2)
d: f(2 = -6(f(1) = -6(5) = -30 . . . . not this one
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The appropriate choice is ...
... f(n +1) = f(n) - 6
— — — — —
You can also recognize that the next term is 6 less than the current one, so f(n+1) = f(n) - 6, which corresponds to the 3rd selection.
