<span><span>Note: , where nPr is the formula for permutations of n objects taken r at a time.</span><span>Example:How many different committees of 4 students can be chosen from a group of 15?</span><span>Answer:There are possible combinations of 4 students from a set of 15.</span><span>There are 1365 different committees</span></span>
Since both terms are perfect squares, factor using the difference of squares formula,
a² − b² = (a + b) (a − b) where a = 5(x + 5/4) and b = 4 (x (7/4) ).
− (12x + 25/4) (2x + −25/4)
1.-x[6+(4*2)]-5, first do the things in the parenthesis: 4*2=8, then +6=14 then *-x=-14x and keep the -5
-14x-5
Based on the given data; the table represent an inverse variation and the equation that model the data in the table is y = 8/x
<h3>Variation</h3>
y = k × x
4 = k × 2
4 = 2k
k = 4/2
k = 2
when y = 2 and x = 4
y = k × x
= 2 × 4
y = 8
y = k/x
4 = k / 2
8 = k
when y = 2 and x = 4
y = k/x
2 = k/4
2 × 4 = k
k = 8
So,
y = k/x
y = 8/x
Learn more about variation:
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Multiply the bracket by 6
6(-p+8)= -6p + 12
-6p+48= -6p+12
Move -6p from right side to left side
Sign changes from -6p to +6p
-6p+6p+48= -6p+6p+12
48= 12 ( No solution )
Answer : No solution
