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Dafna1 [17]
4 years ago
15

Each set of (x, y) values represent a set of equivalent ratios. Find the ratio of x to y for each set to determine which set des

cribes the proportional relationship: 17 ounces of nuts to 22.1 ounces of raisins.
A) (5, 7)(60, 84)(47, 65.8)
B) (36, 48.6)(2, 2.7)(12, 16.2)
C) (3, 3.9)(65, 84.5)(24, 31.2)
D) (11, 13.2)(99, 118.8)(20, 24)
Mathematics
2 answers:
klio [65]4 years ago
8 0
Answer: <span>C) (3, 3.9)(65, 84.5)(24, 31.2)
 </span>
Explanation:


Ou choice is C) and we just need to prove that 17:22.1 = 3:3.9. First, we will change the ratios into fractions so that

\boxed{ \frac{17}{22.1} = \frac{3}{3.9}}

To prove the above equation we use cross multiplication so that

17(3.9) = 3(22.1)
66.3 = 66.3

Which is a true equation. Therefore, 17:22.1 = 3:3.9.
shepuryov [24]4 years ago
7 0

Answer:

B

Step-by-step explanation:

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Verify in the following whether g(x) is a factor of p(x)
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\red{\large\underline{\sf{Solution-i}}}

Given that,

\rm \longmapsto\: p(x) =  {x}^{4} -  {x}^{3} -  {x}^{2} - x - 2

and

\rm \longmapsto\:g(x) = x - 2

<em>We know, </em>

Factor theorem states that if g(x) = x - a is a factor of polynomial f(x), then remainder f(a) = 0.

So, using Factor theorem, Consider

\rm \longmapsto\:p(2)

\rm \:  =  \:  {2}^{4} -  {2}^{3} -  {2}^{2} - 2 - 2

\rm \:  =  \:  16 - 8 - 4 - 4

\rm \:  =  \:  16 - (8 + 4 +  4)

\rm \:  =  \:  16 - 16

\rm \:  =  \: 0

\rm\implies \:p(2) \:   =  \: 0

<u>So, </u>

\bf\implies \:g(x) \: is \: factor \: of \: p(x)

\red{\large\underline{\sf{Solution-ii}}}

\rm \longmapsto\: p(x) = 2{x}^{3}  +  {x}^{2} - 2x + 1

and

\rm :\longmapsto\: g(x) = x + 1

Now, By using Factor Theorem, Consider

\rm \longmapsto\:p( - 1)

\rm \:  =  \: 2 {( - 1)}^{3} +  {( - 1)}^{2} - 2( - 1) + 1

\rm \:  =  \:  - 2 + 1  + 2 + 1

\rm \:  =  \: 2

\rm\implies \:p( - 1) \:  \ne \: 0

<u>So, </u>

\bf\implies \:g(x) \: is  \: not \: a\: factor \: of \: p(x)

8 0
3 years ago
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Step-by-step explanation:

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