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3 years ago

What is the constant of proportionality?

Mathematics

1 answer:

Tju [1.3M]3 years ago

8 0

Answer:

1

Step-by-step explanation:

The equation of the following line looks like this:

$y=x$

In this type of line, every single y value corresponds to the given x value. The slope of this line is considered to be positive one, as you can multiply x by one and still get the same number (Identity property)

A constant of proportionality originates from this type of equation:

$y=kx$

K is the constant, and the number multiplied by x. It can also be recognized as the slope (m)

I hope I was of assistance! #SpreadTheLove <3

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Could someone help with this question brainlest and points

gogolik [260]

Answer:

12.99

Step-by-step explanation:

I divided 3 by 0.231, 5 by 0.385, and 10 by 0.77 and got 12.99 for each.

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3 years ago

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Which transformation are needed to change the parent cosine function to y=3cos(10(x-pi))

BlackZzzverrR [31]

Answer:

Step-by-step explanation:

First, we can transform y = cos(x) to y = 3*cos(x) by stretching the graph vertically by a factor of 3. At x = 0, the y value would now be 3 * 1 = 3 instead of 1 (the stretching would cause all new y-values to be 3 times their original values for any given x).

Now transforming y = 3*cos(x) to y = 3*cos(10*x) will stretch the graph horizontally by a factor of 10 (for any given y value, the new x value corresponding to it is 10 times the original x value).

Finally, to transform y = 3*cos(10*x) to y = 3*cos(10(x-pi)), shift the graph to the right by pi.

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4 years ago

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A number added by 7 is the same as that

boyakko [2]

Answer:

$x+7=4x-11$

Step-by-step explanation:

Hi there!

Let $x$ represent "the number".

A number added by 7 is the same as that number times four minus eleven.

A number added by 7 ⇒ $x+7$

Is the same as ⇒ $x+7=$

The number times four ⇒ $x+7=4x$

Minus eleven ⇒ $x+7=4x-11$

I hope this helps!

4 0

3 years ago

We invested $10000 into two bank accounts. One account earns 14% per year, the other account earns 8% per year. How much did we

Blababa [14]

Answer:

$7,300 was invested in the 14% account while $2,700 was invested in the 8% interest account

Step-by-step explanation:

Let the amount invested in first account be $x while the amount for second account is $y

Mathematically;

x + y = 10,000 •••••••••(i)

Interest on first account

= 14% of x = 14/100 * x

Interest on second account

= 8% of y= 8/100 * y

Adding all together will give total

14/100 * x + 8/100 * y = 1238

Multiply through by 100

14x + 8y = 123800 •••••••(ii)

From equation 1, x = 10,000 - y

Insert this into second equation

14(10,000-y) + 8y = 123,800

140,000 - 14y + 8y = 123,800

140,000 - 6y = 123,800

6y = 140,000 - 123,800

6y = 16,200

y = 16,200/6

y = $2,700

Recall

x + y = 10,000

x = 10000 - y

x = 10,000 - 2,700

x = $7,300

3 0

4 years ago

Find the nth term for the following sequences: Q2)3, 9, 15, 21

elixir [45]

Answer:

$a_{n}$ = 6n - 3

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 9 - 3 = 15 - 9 = 21 - 15 = 6

This indicates the sequence is arithmetic with n th term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 3 and d = 6, then

$a_{n}$ = 3 + 6(n - 1) = 3 + 6n - 6 = 6n - 3

6 0

3 years ago