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elixir [45]
3 years ago
11

Which is the graph of f(x) = -(x + 3)(x + 1)?

Mathematics
1 answer:
Bas_tet [7]3 years ago
4 0

Answer:

See attachment

Step-by-step explanation:

A function is given to us and we need to tell which graph represents the given function. The function given to us is,

\tt: \implies f(x) = -( x + 3 )( x + 1 )

Let's find out at which points do the graph Intersects x axis / finding the roots. For that substitute f(x) = 0 , we have ,

\tt: \implies  -(x +3)( x + 1 ) = 0

Equate each factor by 0 ,

\tt: \implies \boxed{\blue{ \tt x = -1,-3 }}

Therefore the graph will intersect x axis at x is equal to -1 and x is equal to -3 .

On looking at the given graphs in the options the second graph intersects x axis at -1 and -3 .

<u>Hence</u><u> </u><u>the </u><u>second</u><u> </u><u>option</u><u> </u><u>is </u><u>correct</u><u> </u><u>.</u><u> </u>

{ See attachment }

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A population of insects, in thousands, can be molded using the function (t)= 1.75(0.97)x
Dominik [7]

Question:

A population of insects, in thousands, can be modeled using the function

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C. The population is growing at a rate of 75% each month.

D. The population is growing at a rate of 97% each month.

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A. The population is decaying at a rate of 3% each month.

Step-by-step explanation:

Given

p(t) = 1.75(0.97)^t

Required

True statement about the function

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