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2 years ago

Which equation represents a proportional relationship between the x and y values a) y+4=3x b) y-3x=0 c) y+5x=6 d) y+1/4x=2

Mathematics

1 answer:

stich3 [128]2 years ago

5 0

Answer: B

Option is B) y-3x=0 represents a proportional relationship between the x and y values

Explanation:

Case 1 = y+4=3x

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 4 .

Case 2: y-3x=0

From the above equation we can see that if we change the value of x, the value of y changes by proportionality.

Hence the correct option is B.

Case 3 = y+5x=6

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 6.

Case 4 = y+1/4×x=2

From the above equation we can see that if we change the value of x, the value of y does not changes by proportionality due to the presence of 2.

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Evaluate the given expression. Subscript 5 Baseline P Subscript 2 a. 40 c. 25 b. 32 d. 20

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Answer:

d. 20

Step-by-step explanation:

The given question implies 5 permutation 2, i.e $_{5}$ $P_{2}$ .

But,

$_{n}$ $P_{r}$ = $\frac{n!}{(n - r)!}$

So that for $_{5}$ $P_{2}$ , n = 5 and r = 2.

$_{5}$ $P_{2}$ = $\frac{5!}{(5 - 2)!}$

= $\frac{5!}{3!}$

= $\frac{5*4*3*2!}{3*2!}$

Cancel out 3 and 2 with respect to the numerator and denominator.

$_{5}$ $P_{2}$ = 5 * 4

= 20

Therefore,

$_{5}$ $P_{2}$ = 20

So that the correct option is D.

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Answer:

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Step-by-step explanation:

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so this equation has no real solutions.

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Answer:

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Step-by-step explanation:

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