Answer:
Step-by-step explanation:
Let R be the amount of money Hillel raises is a function of t, the length of his performance in minutes.
We have been given that Hillel raises $15 for each minute of juggling performance. This means that change in amount of money with every minute of juggling performance is 15, so slope of our line will be 15 and money raised in t minutes of performance will be 15t.
His initial appearance raises $500, so 500 will be our y-intercept.
The total money raised by Hillel after t minutes of juggling performance will be: 
.
Since we know that line of an equation in slope-intercept form is: 
, where,
m = slope of line,
b = y-intercept.
We are also given that R is a function of t, so substituting our given values in slope-intercept form of equation we will get our function formula as:
Therefore, the function gives the amount R of money Hillel raises in t minutes of juggling performance.
Answer:
43 and 41
Step-by-step explanation:
2n-1+2n-3=84
4n-4=84
4n=88
n=22
2(22)-1 and 2(22)-3
44-1 and 44-3
43 and 41
write these numbers according to the directions (in least to greatest form) and you get the numbers 41 and 43.
.
Odd integers can be written in as 2n-1, 2n+1, 2n+3 and so on. Basically, by writing 2n, you guarantee an even integer and when you add an odd integer to an even integer, you get an odd integer. Try using 2n-1 and 2n+1 as your consecutive odd integers and you will get the same solution.
-32
Step-by-step explanation:
Step 1:
The rate of change over an interval is got by finding the change in g(x), the change in x and dividing it.
Step 2:
Given, x denotes the number of miles walked by Marcus for the fund raiser
g(x) denotes the amount of money he has left to raise after x miles of walking
g(x) for the interval [6,10] is 408,280
Change in x = 10-6 = 4
Change in g(x) = 280-408 = - 128
Rate of change = -128/4 = -32
Hence the average change in rate over the given interval is -32
1 kilo = 1000 meters
So, 332 kilo = 332000 meters
D=rt for t
÷r both sides
d/r=t
A
