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seropon [69]
3 years ago
12

Suppose that x and y vary inversely and that Y=8/3 when x = 8. Write a function that models the inverse variation and find y whe

n x = 4.
Mathematics
1 answer:
Gekata [30.6K]3 years ago
6 0
<span>xy = k

solve for k...

(8) * (8/3) = (64/3) = k

y = k / x

when x = 4,

y = (64/3) * (1/4) = (16/3)


Hope this helps!
</span>
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Given the functions, fx) = x - 8 and g(x) = x2 + x - 1, perform the indicated operation. When applicable, state the domain
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Answer:

A

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

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(-4, -2); y = - 2x + 4
padilas [110]

Answer:

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Step-by-step explanation:

Slope intercept form of equation is of form

y = mx+c

where m is the slope of line and c is the y intercept of the line.

Y intercept is point on y axis where the line intersects the y axis.

_____________________________

Given equation

y = -2x +4

comparing it with y = mx+ c

m = -2 , c = 4

_____________________________

when two lines are parallel, their slopes are equal.

Let the equation of new line in slope intercept form be y = mx + c

Thus slope of of new required line is -2

Thus m for new line is -2.

now, equation of required line : y = -2x+c

Given that this line passes through (-4, -2). This point shall should satisfy equation  y = -2x+c.

Substituting the value of (-4, -2) we have

-2 = -2(-4)+c

=> -2 = 8 +c

=> -2 -8 = c

=> c = -10.

Thus , equation of required line is  y = -2x - 10.

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Step-by-step explanation:

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