Answer:
Step-by-step explanation:
Formula
Sn = (a + a + (n - 1)*d) * n / 2
Givens
Sn = 60
a = 3
Solution
You want integer values for d and n
60 = (2*a + (n - 1)*d) * n/2 Multiply both sides by 2
120 = (2*3 + (n - 1)*d ) * n
120 = (6 + n*d - d) * n
120 = 6n + n^2*d - d*n
This gives some really wild results. I will list all of them here. and then discuss them.
These are the ones that give results without any question and are correct.
n d tn
2 54 3 57
3 17 3 20 37
4 8 3 11 19 27
Here are some that are the gift of the equation
20 0 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3 3
Now the equation says the following 3 are correct, but are they? Can you have a negative n? The equation says yes, but I doubt your instructor will.
-5 5
-1 63
-2 22
You can bring these up if you are in a classroom. I wouldn't if you have to submit this to a computer which has absolutely no ability whatever to think about exceptions. Even the 20 0 is one I wouldn't use.
Answer:
Table 3; Blue graph; y = -4; 2x-3y = 7.
Step-by-step explanation:
Table 3 is a linear relationship because the y-coordinates, or outputs, change by the same rate throughout the table. A constant rate of change defines a linear function.
The blue graph is linear because it is a straight line.
The equation y = -4 is linear because it is the equation of a horizontal line at -4. A function with a line for a graph is linear.
The equation 2x-3y = 7 is linear because it is written in standard form of a linear function, Ax+By = C (in this case A = 2, B = -3 and C = 7).
Answer:
Any of the Pythagorean Triples
Step-by-step explanation:
The area is found by multiplying the length by the width.
The original area = 60 x 40 = 2,400 square feet
He wants to make it 1/2 that size, so the new size would be 2,400 / 2 = 1,200 square feet.
To find the length divide the new area by the new width:
1,200 / 30 = 40
The new length should be 40 feet.
I think this is the right answers i am not sure tho
