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4 years ago

Let y be inversely proportional to x. if x doubles, what happens to y?

Mathematics

1 answer:

Mila [183]4 years ago

4 0

When it is said that a variable is inversely proportional to another, it is best to write out an equation to represent it.

This means;

y=k/x (where k is a constant number like 1 or 2, etc)

If you double x, the value of y is halved. I have attached a graph that shows this.

Hope I helped :)

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Y² - 11y + 21.25 = 0

Elodia [21]

Answer:

y=17/2 y=5/2

Step-by-step explanation:

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3 years ago

Read 2 more answers

The area of the rectangle as a single expression

Ne4ueva [31]

Answer: $A=15x^2+6x-48$

Step-by-step explanation:

The area of a rectangle can be calculated with this formula:

$A=l*w$

Where "l" is the length and "w" is the width.

You can identify from the figure that the length and the width of this rectangle are:

$length=3(x+2)\\width=5x-8$

Then, you need to substitute this lenght and this width into $A=l*w$ :

$A=3(x+2)(5x-8)$

Now, apply Distributive property:

$A=(3x+6)(5x-8)\\\\A=15x^2-24x+30x-48$

Finally, you need to add the like terms. Then, you get:

$A=15x^2+6x-48$

5 0

3 years ago

Write the equation of the line that passes through the given point and is parallel to the given line.

romanna [79]

<u>(Note: this answer is assuming that the equation has to be put in slope-intercept format.)</u>

Answer:

$y = \frac{1}{2} x - \frac{5}{2}$

Step-by-step explanation:

1) Let's use the point-slope formula to determine what the answer would be. To do that though, we would need two things: the slope and a point that the equation would cross through. We already have the point it would cross through, (-3,-4), based on the given information. So, in the next step, let's find the slope.

2) We know that the slope has to be parallel to the given line, $y = \frac{1}{2}x - 8$ . Remember that slopes that are parallel have the same slope - so, let's simply take the slope from the given equation. Since it's already in slope-intercept form, we know that the slope then must be $\frac{1}{2}$ .

3) Finally, let's put the slope we found and the x and y values from (-3, -4) into the point-slope formula and solve:

$(y- (-4)) = \frac{1}{2} (x - (-3))\\y + 4 = \frac{1}{2} (x + 3))\\y + 4 = \frac{1}{2}x+ \frac{3}{2} \\y = \frac{1}{2}x + \frac{3}{2} - 4\\y = \frac{1}{2}x + \frac{3}{2} - \frac{8}{2} \\y = \frac{1}{2}x - \frac{5}{2}$

Therefore, $y = \frac{1}{2}x - \frac{5}{2}$ is our answer. If you have any questions, please do not hesitate to ask!

3 0

3 years ago

12dogs to 92 cats whats the ratio as a fraction in simplest form

DedPeter [7]

12 dogs to 92 cats.

12/92

Both 12 and 92 are divisible by 4.

12/4=3

92/4=23

Simplified ratio: 3/23

There are 3 dogs for every 23 cats.

4 0

3 years ago

A home mortgage is usually borrowed for how long

mash [69]

The traditional home mortgage is usually borrowed for 30 years.

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3 years ago

Let y be inversely proportional to x. if x​ doubles, what happens to​ y?

Let y be inversely proportional to x. if x doubles, what happens to y?