Is 1/x + 3y = -5 a function ?

Answers

Answer 1

Answer:

We can say that a relationship between two variables is a function if, for every input, we get one and only one unique output. If we want to talk about y as a function of x in this problem, we want to make sure that every x has only one y associated with it. We can do this by solving our equation for x and seeing whether we can have more than one y that satisfies that equation. Here, I'll do the algebra and briefly explain my steps:

Multiply either side by x to cancel the denominator in 1/x:

$x((1)/(x)+3y)=x(-5)\n1+3xy=-5x$

Add 5x to either side to collect all of the x terms on one side, and subtract 1 to get all of the constants on one side:

$(1+3xy)+5x-1=-5x+5x-1\n3xy+5x=-1$

Factor an x out of the left side of the equation:

$x(3y+5)=-1$

Divide either side by 3y + 5 to get the x by itself:

$(x(3y+5))/(3y+5)=(-1)/(3y+5) \n\nx=(-1)/(3y+5)$

For every x we pick, only one y can satisfy the above equation, so we can say that yes, $(1)/(x)+3y=-5$ is a function.

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Describe how to find 5-(-8) on a number line. If you found the difference using counters, would you get the same result? Explain

Answers

First of all 5-(-8) is the same thing as 5+8. So you would add 5+8=13

Matthew is 2 yards tall. How many inches tall is he?

Answers

He is 72 inches tall because 1 yard = 36 inches and 36 x 2 equals 72 inches

72 inches because 36 inches is 1 yard so you add 36 and 36 together to get 72 which is 2 yards.

The graphs represent Daniel's ride to the ballpark. Describe Daniel's speed as he gets closer to the park. Justify.A) constant; the slope of the line between points B and C is 0
B) decreasing; the slope of the line between points D and E is negative
C) increasing; the slope of the line between points D and E is positive
D) decreasing; the slope of the line between points D and E is undefined

Answers

B) decreasing; the slope of the line between D and E is negative.
you can rule A out because the graph isn't constant.
You can rule C out because the slope between DandE is going downward (negative slope)
and you can rule D out because the line between DandE is a straight line so it's identified and again its moving downward so it's negative

Answer: d & e

Step-by-step explanation: i took the k-12 test corect answer.

Solve 2/3 x d = 10/9

Answers

Answer:

Exact Form:

d=5/3

Decimal Form:

d=1. 6

Mixed Number Form:

d=1 2/3

What is 78/100 in simplest form

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39/50 as a fraction in simplest form

A matchbox tray slides into its outer cover in how many different ways can you do this

Answers

-- Slide end-A of the tray, right-side-up, into end-A of the cover. (0 0 0)
-- Slide end-A of the tray, right-side-up, into end-B of the cover. (0 0 1)
-- Slide end-A of the tray, upside-down, into end-A of the cover. (0 1 0)
-- Slide end-A of the tray, upside-down, into end-B of the cover. (0 1 1)
-- Slide end-B of the tray, right-side-up, into end-A of the cover. (1 0 0)
-- Slide end-B of the tray, right-side-up, into end-B of the cover. (1 0 1)
-- Slide end-B of the tray, upside-down, into end-A of the cover. (1 1 0)
-- Slide end-B of the tray, upside-down, into end-B of the cover. (1 1 1)

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