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xenn [34]
3 years ago
14

Two functions are defined as shown.

Mathematics
2 answers:
maxonik [38]3 years ago
7 0

Answer:

Graph (2).

Step-by-step explanation:

Given question is incomplete: Find the complete question in the attachment.

Given : f(x) = -\frac{1}{2}x-2

            g(x) = - 1

To find : The graph showing f(x) = g(x)

If the given functions f(x) = g(x)

-\frac{1}{2}x-2=-1

-\frac{1}{2}x=-1+2

-\frac{1}{2}x = 1

x = -2

That means both the functions have the same value at x = -2

f(-2) = g(-2) = -1

In other words, both the lines will intersect at a point (-2, -1).

From the given graphs,

Graph number (2) shows the required results.

A straight line g(x) = -1 parallel to x- axis and another straight line f(x) = -\frac{1}{2}x-2, intersect each other at (-2, -1).

Therefore, Graph (2) will be the answer.

kolezko [41]3 years ago
6 0

Answer:

2nd Graph

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

we are given half-life of PO-210 and the initial mass

we want to figure out the remaining mass <u>after</u><u> </u><u>4</u><u>2</u><u>0</u><u> </u><u>days</u><u> </u>

in order to solve so we can consider the half-life formula given by

\displaystyle f(t) = a {0.5}^{t/T}

where:

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since it halves every 140 days our T is 140 and t is 420. as the initial mass of the sample is 5 our a is 5

thus substitute:

\displaystyle f(420)=5\cdot{0.5}^{420/140}

reduce fraction:

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By using calculator we acquire:

\displaystyle f(420)=0.625

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Step-by-step explanation:

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