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Alina [70]
3 years ago
8

What is the product of 5x + 3 and 8x2 – 2x + 5? A) 40x3 + 14x2 – 19x – 15 B) 40x3 + 14x2 – 31x – 15 C) 40x3 + 34x2 + 31x + 15 D)

40x3 + 14x2 + 19x + 15

Mathematics
2 answers:
kenny6666 [7]3 years ago
8 0

Answer:

D is the answer

Step-by-step explanation:

zimovet [89]3 years ago
3 0

Answer: D: 40x3 +14x2+19x+15

Step-by-step explanation:

(5x + 3) (8x2 - 2x + 5)

5x ( 8x2 - 2x + 5) +3 ( 8x2 - 2x + 5)

expanding the bracket

(40x3 - 10x2 + 25x) + ( 24x2 - 6x +15)

removing the bracket

40x3 - 10x2 + 25x + 24x2 - 6x + 15

collecting like terms

40x3 - 10x2 + 24x2 + 25x - 6x + 15

40x3 + 14x2 +19x + 15

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Answer:

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Step-by-step explanation:

Given,

f =​ {(-1, 4)​,(1, 9)​,(4, 0)​},

g = ​{(-1, -8)​,(2, -7)​,(4, 8)​,(5, -9)​}

So, Domain of f = {-1, 1, 4},

Domain of g = {-1, 2, 4, 5}

Since,

\frac{g}{f}(x) = \frac{g(x)}{f(x)}

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If x = -1,

\frac{g}{f}(-1) = \frac{g(-1)}{f(-1)}=\frac{-8}{-4}=2

If x = 4,

\frac{g}{f}(4) = \frac{g(4)}{f(4)}=\frac{8}{0}=\infty (\text{ not possible})

Hence, the domain of g/f = {-1}

And, g/f = {(-1, 2)}

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