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Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

6 0

Answer:

I'm confused what's the question ?

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Which graph represents the function f(x)= 0.2^x + 3

Dennis_Churaev [7]

The third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

Step-by-step explanation:

Step 1:

To determine which of the given graphs represents the equation $f(x) = 0.2^{x} + 3$ , we substitute some values in the place of x.

When $x=0,$ $f(x) = 0.2^{x} + 3, f(0) = 0.2^{0} + 3= 4.$

Anything with an exponent of 0 will equal 1.

So the graphs on the right side cannot be the answers.

Step 2:

Now we substitute another value to determine which graph represents $f(x) = 0.2^{x} + 3.$

When $x=1,$ $f(x) = 0.2^{x} + 3, f(1) = 0.2^{1} + 3= 4.2.$

The value of f(x) when $x=1$ is lesser than the value of f(x) when $x =0.$

So the third graph or bottom left graph represents $f(x) = 0.2^{x} + 3.$

5 0

3 years ago

In my carpenter shop I make 3 legged stools and 4 legged chairs. I looked at my days output and counted 55 legs and 16 seats. Ho

Stells [14]

$x-number\ of\ stools\\y-number\ of\ chairs\\\\ \left \{ {{y+x=16} \atop {3x+4y=55}} \right. \\\\From\ first\ equation:\\\\y=16-x\\\\Substract\ to\ second\ equation:\\\\3x+4(16-x)=55\\3x+64-4x=55\\3x-4x=55-64\\-x=-9\\x=9\\\\y=16-9=7\\\\ \left \{ {{y=7} \atop {x=9}} \right.$