A) Work out the value of 213 + (29)2

Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation

jarptica [38.1K]

SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}$

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

$\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

So we have the formula

$y=\frac{k}{x}$

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

$\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}$

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

$\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}$

Hence the answer is option C

7 0

1 year ago

The midpoint of a line can be found using either a compass and straightedge construction or a straightedge and tracing paper con

Klio2033 [76]

The midpoint of a line can be found using either a compass and straightedge <span>construction or a straightedge and tracing paper construction.
</span>true :)

4 0

2 years ago

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The sum of two polynomials is 8d5 – 3c3d2 + 5c2d3 – 4cd4 + 9. If one addend is 2d5 – c3d2 + 8cd4 + 1, what is the other addend?

MatroZZZ [7]

Answer:

a. $x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8$

Step-by-step explanation:

Given that

$8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9$

Now

if one is added i.e.

$2d^5 - c^3d^2 + 8cd^4 + 1$

Now let us assume the other polynomial be x

So,

$8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 = x + (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\x = 8d^5 + 3c^3d62 + 5c^2d^3 - 4cd^4 + 9 - (2d^5 - c^3d^2 + 8cd^4 + 1)\\\\$

$x = (8d^5 - 2d^5) + (-3c^3d^2 + c^3d^2) + 5c^2d^3+ (-4cd^4-8cd^4) + (9-1)\\\\x = 6d^5 - 2c^3d^2 + 5c^2d^3 - 12cd^4 + 8$

8 0

2 years ago

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WILL GIVE BRAINLIST AS SOON AS I CAN i thought that this one was 151.45 but it wasn't and I'm not sure what to do

zimovet [89]

Answer:

151.4496

Step-by-step explanation:

Take the sum of its bases, multiply the sum by the height of the trapezoid, and then divide the result by 2

5 0

2 years ago

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when coloring in a grid to show a fraction, what does 3/10 look like when the grid represents a whole

Katarina [22]

Answer:

3 of 10 grid squares making up the whole will be colored.

Step-by-step explanation:

1/10 is one of ten equal parts. 3/10 is three of those ten equal parts. Essentially, the fraction 3/10 means "three out of ten".

_____

If the whole is divided into more than 10 parts, 3/10 will be 3 out of every 10. So if there are 20 parts, for example (2 tens), the 3/10 will be 6 of those parts (3 of each of the two tens).

5 0

2 years ago