Answer:
n = 
Step-by-step explanation:
Given
9 = n + 
Multiply through by 3 to clear the fraction
27 = 3n + 10 ( subtract 10 from both sides )
17 = 3n ( divide both sides by 3 )
= n
bearing in mind that
standard form for a linear equation means
• all coefficients must be integers, no fractions
• only the constant on the right-hand-side
• all variables on the left-hand-side, sorted
• "x" must not have a negative coefficient
8 - 5y = - 2x
2x - 5y = - 8
hemisphere and cone
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
Suppose we ask how many subsets of {1,2,3,4,5} add up to a number ≥8. The crucial idea is that we partition the set into two parts; these two parts are called complements of each other. Obviously, the sum of the two parts must add up to 15. Exactly one of those parts is therefore ≥8. There must be at least one such part, because of the pigeonhole principle (specifically, two 7's are sufficient only to add up to 14). And if one part has sum ≥8, the other part—its complement—must have sum ≤15−8=7
.
For instance, if I divide the set into parts {1,2,4}
and {3,5}, the first part adds up to 7, and its complement adds up to 8
.
Once one makes that observation, the rest of the proof is straightforward. There are 25=32
different subsets of this set (including itself and the empty set). For each one, either its sum, or its complement's sum (but not both), must be ≥8. Since exactly half of the subsets have sum ≥8, the number of such subsets is 32/2, or 16.
Answer:
f(x)=4x^2 and g(x)=-8x^2 + 4x - 4
(f+g)(x) = -8x^2 + 4x - 4 + 4x^2 = -4x^2 + 4x - 4 = -4(x^2 -x + 1)
(f+g)(-3) = -4( -3^2 -(-3) + 1) = -4 x 13 = -52
Hope this helps!
:)