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3 years ago

How do you graph 1/3 to negative powers

1 answer:

6 0

${1/3}^{-x} = 3^x$ . From here, you can graph it the way you would any other exponential equation by inserting values of x. For x=2, for instance, y=9.

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4 out of 9 dogs weigh less than 20 pounds. What is the decimal equivalent for the number of dogs weighing under 20 pounds?

iVinArrow [24]

4/9=0.44444444 repeating

6 0

3 years ago

On Naomi's cell phone plan, the amount she pays each month for international text messages is proportional to the number of inte

Lostsunrise [7]

A) The constant of proportionality in this proportional relationship is $k = \frac{y}{x}$

B) The equation to represent this proportional relationship is y = 0.2x

<h3><u>Solution:</u></h3>

Given that,

The amount Naomi pays each month for international text messages is proportional to the number of international texts she sends that month

Therefore,

This is a direct variation proportion

$\text{ amount Naomi pays each month } \propto \text{ number of international texts she sends that month}$

Let "y" be the amount that Naomi pays each month

Let "x" be the number of international texts she sends that month

Therefore,

$y \propto x$

y = kx -------- eqn 1

Where, "k" is the constant of proportionality

Thus the constant of proportionality in this proportional relationship is:

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

<em><u>Last month, she paid $3.20 for 16 international texts</u></em>

Therefore,

y = 3.20

x = 16

Thus from eqn 1,

$3.20 = k \times 16\\\\k = \frac{3.20}{16}\\\\k = 0.2$

Substitute k = 0.2 in eqn 1

y = 0.2x

The equation would then be y = 0.2x

8 0

3 years ago

Jess and Wes used to race each other when they were younger. Jess could cover 8

marshall27 [118]

Answer:

160 meters

Step-by-step explanation:

Let call dj distance run by Jess and dw distance run by Wes

By Jess courtesy Wes will be 60 meters ahead of Jess

Let call t the time in which both runners are at the same point, which in fact is when both distances are equal

dj = 8 m/sec * t and dw = 60 + 5 m/sec * t

Then we make dj = dw

8*t = 60 + 5*t

3*t = 60

t = 20 sec

Now passed 20 sec dj = 8 * 20 = 160 m

and dw = 60 + 5*20 dw = 160 m

5 0

3 years ago

Please HELP! URGENT!! <br> Lets say that if 1cm represent 1m in real life, what will 1mm represent?

Ghella [55]

1 mm = 0,1 cm

1 cm - 1 m
0,1 cm - x m

$x=\dfrac{0,1\cdot1}{1}=0,1 \text{ m}=10\text{ cm}$

4 0

3 years ago

(ANSWER FOR POINTS AND BRAINLEST!!!) Identify the scale factor in the image below.

igor_vitrenko [27]

Answer:

it should be 3/2 !

4 0

3 years ago

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