Answer:
b = 81
Step-by-step explanation:
given a² and b are directly proportional then the equation relating them is
a² = kb ← k is the constant of proportionality
to find k use the condition a = 2 when b = 9 , then
2² = 9k
4 = 9k ( divide both sides by 9 )
= k
a² = b ← equation of proportion
when a = 6 , then
6² = b
36 = b ( multiply both sides by 9 to clear the fraction )
324 = 4b ( divide both sides by 4 )
81 = b
About 49 pounds
$5.75 x 2 = 11.50
561.60 / 11.50 = 48.83 (round)
49 lbs
567 = 500+60+7
4*567 = 4*(500+60*7)
4*567 = 4*500 + 4*60 + 4*7 ... see note below
4*567 = 2000 + 240 + 28
4*567 = 2268
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note: multiply the outer term 4 by each term inside the parenthesis to use the distributive property. The general distributive property is a*(b+c) = a*b+a*c. This can be extended to a*(b+c+d) = a*b+a*c+a*d. You can have as many terms as you like inside the parenthesis.
The factoring method which can be considered for such a cubic tetranomial expression is; factor by grouping sum of cubes.
<h3>What factoring method can be considered for the polynomial?</h3>
It follows from the task content that the order of the Polynomial is 3 and the polynomial is a tetranomial as it contains 4 terms.
On this note, since 3x³ is not a perfect cube, it follows that the best factorisation method for such a polynomial is; factor by grouping sum of cubes.
Read more on factorisation;
brainly.com/question/25829061
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Answer:
6x+11
Step-by-step explanation:
1. Add the 2x, x, and 3x together (6x)
2. Add 5 and 6 together (11)
3. Put the two solutions together getting 6x+11
