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2 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Which equation matches the graph?

Mathematics

1 answer:

tatyana61 [14]2 years ago

3 0

Answer: D) -2 |x| - 2

<u>Step-by-step explanation:</u>

A v-shaped graph is an absolute value graph.

The general form of an absolute value equation is: y = a |x - h| + k

where (h, k) represents the vertex and "a" represents the vertical stretch (aka slope).

The vertex of the given graph is (0, 2), however the graph is inverted (upside-down) which is a reflection across the x-axis. Therefore,

a = -2
(h, k) = (0, -2)

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2 years ago

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1 year ago

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3 years ago

In 1960, the population of a town was 14 thousand people. Over the course of the next 50 years, the town grew at a rate of 30 pe

andre [41]

SOLUTIONS

Given: Assume y is the population

$\begin{gathered} t=0=1960,y=14030 \\ t=1=1961,y=14060 \\ so\text{ b = 14000} \\ so\text{ k = 30} \end{gathered}$

The town grow at the rate of 30 people per year.

$y=kt+14000$ $y=30t+14000$

(A) The population predicted to be in 2030 will be

$\begin{gathered} 2030-1960=70 \\ y=30k+14000 \\ y=30(70)+14000 \\ y=2100+14000 \\ y=16100people \end{gathered}$

(B) so when y = 15000, find t

$\begin{gathered} y=15000 \\ y=30t+14000 \\ 15000=30t+14000 \\ 15000-14000=30t \\ 1000=30t \\ t=\frac{1000}{30} \\ t\approx33 \\ t=1960+33 \\ t=1993 \end{gathered}$

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6 months ago