Does the function f(x) = (0.85)\ represent exponential growth, decay, or neither?

Mathematics

1 answer:

Artemon [7]3 years ago

6 0

The function represents a linear relation so I assume the answer is B neither

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Please help with the following question

sasho [114]

We have:
The generic equation of the line is: y-yo = m (x-xo)
The slope is:
m = (y2-y1) / (x2-x1)
m = (- 2-0) / (3-0)
m = -2 / 3
We choose an ordered pair
(xo, yo) = (0, 0)
Substituting values:
y-0 = (- 2/3) (x-0)
Rewriting:
y = (- 2/3) x
Answer:
The equation of the line is:
y = (- 2/3) x

5 0

3 years ago

Select the equivalent expression.

Vanyuwa [196]

For this case we must find an expression equivalent to: $(y ^ 3 * 2 ^ 5) ^ 2$

By definition of power properties we have to meet:

$(a ^ n) ^ m = a ^ {n * m}$

So, rewriting the expression we have:

$y^{3 * 2} * 2^ {5 * 2} =\\y^ 6 * 2^{10}$

Answer:

Option B

$y^6*2^{10}$

4 0

3 years ago

The graph below represents which of the following functions?

erica [24]

This is a more difficult one to explain. Let's start with the line to the right. It has a slope (m) of $\frac{-2}{2}$ = -1 and a y-intercept of +3 (continue the line to see where it crosses the y-axis). So, the equation of that line is: y = -x + 3 when x ≥ 2. This can also be written as y = 3 - x when x ≥ 2. The only option that has that equation is A.