Mathematics, 02.11.2019 10:31 ashhull2002

Which of the choices below follow an exponential pattern? select all that apply.

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Answer from: mary9590

The choices that follow an exponential pattern is:

A. Division of skin cells every half hour.

C. $y=4\cdot 3^x$

Step-by-step explanation:

We know that an exponential function is one which gradually increases or decreases by a constant rate.

Division of skin cells every half hour.

It will determine a exponential pattern since it could be represented in the form of:

y=ab^x

where a is the initial amount of skin cells and also the number of skin cells decreases by a constant rate in every half hour.

Hence, option: A is correct.

y=x^2

It is not a exponential function.

It is a quadratic function.

Hence, option: B is incorrect.

$y=4\cdot 3^x$

It is a exponential function.

Since it is represented in the form of:

y=ab^x

Hence, option: C is correct.

From the given table we could see that this represent a linear function and not exponential since the values are increasing by a fixed rate i.e. 3

Hence, option: d is incorrect.

You are driving at a constant rate of 55 mph.

This situation will represent a linear function or we may say a constant function.

Hence, option: e is incorrect.

y=2x^3

It represent a cubic function and not exponential.

Hence, option: F is incorrect.

Answer from: Quest

the system of inequity is

$y\leq -x+4$

$3y> x$

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

$y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

the solid line passing through the points (0,4) and (4,0).

$y-4=\frac{0-4}{4-0}(x-0)$

$y=-x+4$

the related equation of solid line is $y=-x+4$ .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

$y-0=\frac{0-1}{3-0}(x-0)$

$3y=x$

the related equation of dashed line is $3y=x$

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

$1=-0+4$

$1=4$

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be $\leq$ . the required inequality is

$y\leq -x+4$

similarly, check the second related equation.

$3(1)=0$

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

$3y> x$

15 points write a system of inequalities to represent the shaded portion of the graph

Answer from: Quest

idk

step-by-step explanation:

58.35 what is the volume of the can below? use - 3.14 and round your answer to the nearest tenth. 8

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Which of the choices below follow an exponential pattern? select all that apply.
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