7 y-2= 3 (x-8) What is the slope intercept form of the equation

Mathematics

1 answer:

iogann1982 [59]3 years ago

7 0

Answer:

y = 3x - 22

Step-by-step explanation:

y - 2 = 3(x - 8)

y - 2 = 3x - 24

y = 3x - 22

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Which of the binomials below is a factor of this trinomial? x2 + 8x + 16

Gre4nikov [31]

X^2 + 8x + 16 =
(x + 4)(x + 4) or (x + 4)^2

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3 years ago

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saveliy_v [14]

Answer:

Y =2X +2

y = 2(13) + 3

y = 29 after 13 months

Step-by-step explanation:

x1 y1 x2 y2

0 2 2 6

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The function y = 58. 7(1. 03)^t gives a country’s population, y (in millions), where t is the number of years since January 1994

GREYUIT [131]

Answer:

Approximate population ≈ 74.36 million.

Step-by-step explanation:

The given problem involves modeling of an exponential growth or decay function of a population.

<h2>Definition:</h2>

Exponential growth ( relative growth ) occurs when a population grows or increases exponentially by the same factor, over the same amount of time.
Exponential decay occurs when a population decreases continuously by a constant factor, over the same amount of time.

We can model the exponential growth of a population using the following Exponential Growth Model:

⇒ $\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$

Where:

P( t ) = population after "t" years
P₀ = initial population
r = relative growth rate; positive "r" value means that the population is increasing; negative "r" value implies that the population is decreasing.
t = time (typically in years)

<h2>Solution:</h2>

Based from the given equation, $\displaystyle\mathsf{y\:=\:58.7(1.03)^t }$ , we can infer that:

⇒ $\displaystyle\mathsf{P(t)\:=\:P_0 (1\:+\:r)^t }$ or $\displaystyle\mathsf{y\:=\:P_0 (1\:+\:r)^t }$

Where:

P( t ) or y = population after "t" years
P₀ = initial population = 58.7
r = relative growth rate = 0.03 or 3% = the population is increasing (exponential growth).
t = time (typically in years) = 8 years (difference between January 2002 and January 1994).