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yan [13]
3 years ago
9

Verify that the function satisfies the three hypotheses of Rolle’s Theorem on the given interval. Then find all numbers c that s

atisfy the conclusion of Rolle’s Theorem. f(x)=5-12x+3x^2, [1, 3]
Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
4 0

Answer:

Step-by-step explanation:

the answer is 12 or 9

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\bold{1.}\\\\\ mmnn=m^2n^2=(mn)^2\\\\\bold{2.}\\\\3x=5+7\\3x=12\qquad\text{divide both sides by 3}\\x=4\\\\\bold{3.}\\\\\dfrac{x}{3}=7\qquad\text{multiply both sides by 3}\\x=21\\\\\bold{4.}\\\\0.5x=12\qquad\text{multiply both sides by 2}\\1x=24\\x=24\\\\\bold{5.}\\\\4x-6=2x+4\qquad\text{add 6 to both sides}\\4x=2x+10\qquad\text{subtract 2x from both sides}\\2x=10\qquad\text{divide both sides by 2}\\x=5

\bold{6.}\\\\3x^2\ for\ x=6\ /\text{put x = 6 to the expression}/\\\\3(6)^2=3(36)=108\\\\\bold{7.}\\\\3y^2+2y\ for\ y=3\ /\text{put y = 3 to the expression}/\\\\3(3)^2+2(3)=3(9)+6=27+6=33

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