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3 years ago

Is 3y = x a function?

Mathematics

2 answers:

Evgen [1.6K]3 years ago

5 0

<span>Is 3y = x a function?

</span> $3y= x \\ \\ y= \frac{x}{3} \\ \\ \boxed{y= \frac{1}{3}x}$ <span>
</span>

leonid [27]3 years ago

5 0

A function defines one variable in terms of another.

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the eccentricity of a hyperbola is defined as e=c/a. find an equation with vertices (1,-3) and (-3,-3) and e=5/2

Ksivusya [100]

Answer:

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ .

Step-by-step explanation:

If (α, β) are the coordinates of the center of the hyperbola, then its equation of the hyperbola is $\frac{(x - \alpha )^{2} }{a^{2} } - \frac{(y - \beta )^{2} }{b^{2} } = 1$ .

Now, the vertices of the hyperbola are given by (α ± a, β) ≡ (1,-3) and (-3,-3)

Hence, β = - 3 and α + a = 1 and α - a = -3

Now, solving those two equations of α and a we get,

2α = - 2, ⇒ α = -1 and

a = 1 - α = 2.

Now, eccentricity of the hyperbola is given by $b^{2} = a^{2}(e^{2} - 1) = 4[(\frac{5}{2} )^{2} -1] = 21$ {Since $e = \frac{5}{2}$ given}

Therefore, the equation of the given hyperbola will be

$\frac{(x + 1 )^{2} }{4} - \frac{(y + 3 )^{2} }{21} = 1$ . (Answer)

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3 years ago

If Greg can do a job in 6 hours, and pepper can do that same job in 5 hours, how long will it take to complete the job if they w

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2 years ago

What does the ratio 2 frogs : 5 turtles mean?

Reptile [31]

Hi,

That means on 2 frogs in some group there are 5 turtles.

Hope this helps.
r3t40

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3 years ago

One bulb of elephant garlic cost $2 . How many bulbs of elephant garlic can you buy for $14

SpyIntel [72]

Answer:

Step-by-step explanation:

Since 14 divided by 2 is 7, you can get 7 bulbs of elephant garlic.

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3 years ago

<1 and <2 form a linear pair. The measure of <1 = (2x+8) and the measure of <2 = (8x + 22). What is the measure of &

attashe74 [19]

Answer:

Step-by-step explanation: Since the given problem states that the two angles, angle 1 and angle 2 form a linear pair, this means that they form a 180° line, so that:

measure angle 1 + measure angle 2 = 180°

Since measure of angle 2 is six more than twice the measure of angle 1, therefore:

measure angle 2 = 2 (measure angle 1) + 6

hence, substituting this into the first equation:

measure angle 1 + 2 (measure angle 1) + 6 = 180

3 (measure angle 1) = 174

measure angle 1 = 58°

Therefore,

measure angle 2 = 2 (measure angle 1) + 6

measure angle 2 = 2 (58°) + 6

measure angle 2 = 122*

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3 years ago