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3 years ago

15

Which relationships have the same constant of proportionality between y and x as in the equation y=1/3x?

1 answer:

Marina CMI [18]3 years ago

4 0

Y and X is urgent answer

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The population of bacteria can be modeled by the function below, where t represents the time since the population started decayi

Oksana_A [137]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete. I will assume the function is:

$f(t) = 15(0.86)^t$

Required

Determine the rate of decay

In an exponential function $f(x) = ab^x$ ,

The decay rate of the function is calculated as:

$1 - r = b$

By comparison:

$b = 0.86$

So, the equation becomes:

$1 - r = 0.86$

Make r the subject

$r = 1 - 0.86$

$r = 0.14$

<em>The rate of decay is 0.14</em>

3 0

3 years ago

Q1: Identify the graph of the equation and write an equation of the translated or rotated graph in general form.

marin [14]

Answer:

C. hyperbola; $9x^2-25y^2-250y-850=0$

Step-by-step explanation:

The given conic has equation:

$9x^2-25y^2=225$

Divide through by 225.

$\frac{9x^2}{225}-\frac{25y^2}{225}=\frac{225}{225}$

$\frac{x^2}{25}-\frac{y^2}{9}=1$

This is a hyperbola centered at the origin.

The hyperbola has been translated from the origin to (0,5).

The translated hyperbola will have equation;

$\frac{(x-0)^2}{25}-\frac{(y-5)^2}{9}=1$

Multiply through by 225.

$9(x-0)^2-25(y-5)^2=225$

Expand

$9x^2-25(y^2-10y+25)=225$

$9x^2-25y^2+250y-625=225$

Rewrite in general form;

$9x^2-25y^2+250y-625-225=0$

$9x^2-25y^2+250y-850=0$

3 0

3 years ago

(2x)² . (3x²)<br> What is the simplest form of this equation

Montano1993 [528]

Simplest form: 5x^2

7 0

3 years ago

Simplify √49 + [√81 - x(9x = 14)]

eimsori [14]

$\longrightarrow{\green{- 9 {x}^{2} + 14x + 16}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$\sqrt{49} + [ \sqrt{81} - x \: (9x - 14) ] \\ \\ = \sqrt{7 \times 7} + [ \sqrt{9 \times 9} - 9 {x}^{2} + 14x] \\ \\ = \sqrt{( {7})^{2} } + [ \sqrt{ ({9})^{2} } - 9 {x}^{2} + 14x ] \\ \\ (∵ \sqrt{ ({x})^{2} } = x ) \\ \\ = 7 + (9 - 9 {x}^{2} + 14x) \\ \\ = 7 + 9 - 9 {x}^{2} + 14x \\ \\ = - 9 {x}^{2} + 14x + 16$

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}$

3 0

3 years ago

Which figures are polygons?<br> MORE THAN ONE CORRECT ANSWER<br><br> please explain

Dahasolnce [82]

Answer:

all of them that have more than 4 sides

5 0

2 years ago

Read 2 more answers