Please help im timed
2 answers:
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Answer:
The first term is 14
The common difference is -2.5
Step-by-step explanation:
we know that
The rule to calculate the an term in an arithmetic sequence is
where
d is the common difference
a_1 is the first term
we have that
The third term of an arithmetic sequence is equal to 9
so
substitute
----> equation A
The rule to find the sum of the the first n terms of the arithmetic sequence is equal to
we have
The sum of the first 8 term is 42
so
substitute
----> equation B
Solve the system of equations
----> equation A
----> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
the solution is (14,-2.5)
see the attached figure
therefore
The first term is 14
The common difference is -2.5
Answer:
2x + 3y = -10
Step-by-step explanation:
First convert the line into slope intercept form to find the slope of the line.
2x + 3y = 4
3y = 4 - 2x
y = -2/3x + 4/3
The slope of the line is -2/3. Parallel lines have the same slope so the slope for a line through the point (1,-4) will be -2/3. Substitute m = -2/3 and (1,-4) into the point slope of a line.
Now convert the line into standard form by using the distributive property.