The slope-intercept form is defined as: m for slope and b for y-intercept, which corresponds to the point (0, b). For the points (4, 3) and (0, 1), we find b = 1. Now let's calculate the slope.
All prime numbers are odd with the exception of two. Hence, if we consider the sum of the first million primes, it consists of one even number combined with 999,999 odd numbers. Since the product of an odd number multiplied by another odd number results in an odd number, we conclude that the sum must be an odd number, being even + odd = odd.
It's clear that an odd number ends with an odd digit, so the only digit that can be eliminated is b (an even digit).
The formula for the sum of an arithmetic series is expressed as:
Sn=n/2(a1+an)
where:
n=total terms
a1=the initial term
an=the final term
given
n=18, an=275, Sn=4185
substituting these values into the equation results in:
4185=18/2(a1+275)
after simplification, we obtain:
4185=9(a1+275)
dividing by 9 yields:
465=a1+275
therefore
a1=465-275
a1=190
Conclusion: the first term is 190
Responses
19 fiction books
7 nonfiction books
Explanation
x + y = 26............................................. (i)
x – y = 12............................................ (ii)
By adding the two equations, Elliot obtained the result of
2x = 38.
When divided by 2;
x = 19
Therefore, there are 19 fiction books.
Substituting x into equation (i),
x + y = 26 when x = 19
19 + y = 26
y = 26 - 19
= 7
This means there are 7 nonfiction books
