Answer:
46
Step-by-step explanation:
The smallest value of n (found by trial and error) is 13. The next larger value is 4·5 = 20 more than that, 33.
The sum of these values is 13 +33 = 46.
_____
Actually, we looked for solutions to ...
n = 4k +1 = 5m +3
4k -5m = 2 . . . . . . subtract 5m+1
We found the smallest solution to be k=3, m=2 giving 12 -10 = 2. Then further solutions are of the form ...
k = 5p+3, m = 4p+2 . . . . . for any integer p
The corresponding values of n are ...
n = 4(5p+3)+1 = 20p+13
The two smallest values correspond to p=0 and p=1, so are 13, 33.
Answer:
Step-by-step explanation:
Given
The attached graph
Required
Determine the equation
First, pick any 2 corresponding coordinates
Next, calculate the slope (m)
The equation is calculated as:
Where:
and
Make y the subject
C = 2pi*r
Plug in the circumference
6.28 = 2*pi*r
3.14 = pi *r
plug in pi
3.14 = 3.14 * r
r = 1
2 = 7 r statement
2/7 = r divide both sides by 7
Answer:
{-7, 2, 8}
Step-by-step explanation:
We see that the domain is limited to three x-values: -3, 0 and 2. To find the range (which is the set of all y-values) we just need to plug-in these x-values and find the corresponding y-values.
So our equation is:
y = 3x + 2
Then we substitute for the x-values:
y = 3(-3) + 2
y = -9 + 2
y = -7
y = 3(0) + 2
y = 0 + 2
y = 2
y = 3(2) + 2
y = 6 + 2
y = 8
So our range would be {-7, 2, 8}.
