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ElenaW [278]
3 years ago
5

NEED HELP SOLVING PLEASE!!!

Mathematics
1 answer:
slamgirl [31]3 years ago
5 0
1. SET UP EQUATION
(15x+1)+(6x+5)+(4x-1)=180
2. SIMPLIFY
25x+5=180
3. SUBTRACT 5 ON BOTH SIDES
25x=175
4. DIVIDE 25 ON BOTH SIDES
x=7
5. PLUG IN 7 FOR EACH ANGLE
15(7)+1
6(7)+5
4(7)-1
6. SIMPLIFY
105+1
42+5
28-1
7. SOLVE
106
47
27

ANSWERS:
x=7
15x+1=106 degrees
6x+5=47 degrees
4x-1=27 degrees
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Using an exponential function, it is found that f(5.5) = 19.8.

<h3>What is an exponential function?</h3>

An exponential function is a function in which the growth rate is a percentage, modeled by:

y = ab^x

In which:

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f(3.5) = 25 means that:

ab^{3.5} = 25

a = \frac{25}{b^{3.5}}

f(8.5) = 14 means that:

ab^{8.5} = 14

Hence:

\frac{25}{b^{3.5}} \times b^{8.5} = 14

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b = \sqrt[5]{\frac{14}{25}}

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a = \frac{25}{0.89^{3.5}} = 37.59

Hence, the function is given by:

y = 37.59(0.89)^x

Then, when x = 5.5:

f(5.5) = 37.59(0.89)^{5.5} = 19.8

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