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3 years ago

Write an equation of the direct variation that includes the point (6,-2)

Mathematics

1 answer:

olga55 [171]3 years ago

7 0

Answer:

$y = - \frac{1}{3}x$

Step-by-step explanation:

The equation of a direct variation is generally written as:

$y = mx$

Where m is the slope of the equation of the direct variation line.

We want a direct variation equation that contains (6,-2).

We substitute the x=6 and y=-2 to find m.

$- 2 = 6m$

Divide both sides by 6.

$\frac{ - 2}{ 6} = \frac{6m}{ 6}$

$- \frac{1}{3} = m$

The required equation is

$y = - \frac{1}{3}x$

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Tamiku [17]

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Vadim26 [7]

Answer:

$\displaystyle D) {x}^{5} + \rm C$

Step-by-step explanation:

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$\displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx$

therefore,

$\displaystyle 5\int {x}^{4} \, dx$

recall exponent integration rule:

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so let,

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Thus integrate:

$\displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)$

simplify addition:

$\displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)$

reduce fraction:

$\displaystyle = {x}^{5}$

finally we of course have to add the constant of integration:

$\displaystyle \boxed{ {x}^{5} + \rm C}$

hence,

our answer is D)

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3 years ago

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Avery’s water bottle holds 300 milliliter. Dashawn’s container holds 3/4 as much water. How many milliliters do both containers

Nady [450]

Answer:

Both containers hold 225 ml.

Step-by-step explanation:

300/4 =75 so 1/4 is equal to 75 mL

300-75=225mL

Dashawn's water bottle holds 225mL

Hope this helps! :)

<h3>CloutAnswers</h3>

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