Just read the table!

From "the probability that a randomly chosen tree": 
 ⇒ How many Trees? 
Write the denominator. 

From "will be a California redwood tree taller than 300 ft"" 
 ⇒ How many California redwood tree taller than 300 ft? 
Write the numerator. 

Done.

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7 0

3 years ago

Read 2 more answers

Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,

alina1380 [7]

Answer:

We are have the function f(x).

Part 1: It is given that the function f(x) is transformed to f(x)+2.

This gives us that the function is translated 2 units upwards.

As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.

Translation does not change the behavior of the function.

So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.

Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.

Part 2: It is given that the function f(x) is transformed to $\frac{-1}{2}f(x)$

This gives us that the function is shrinked vertically by a factor of $\frac{1}{2}$ followed by a reflection across x-axis.

Also, the y-intercept of is $\frac{-1}{2}f(0)$ .

The graph of f(x) after changing to $\frac{-1}{2}f(x)$ will flip over the x-axis.

So, the function $\frac{-1}{2}f(x)$ will increase or decrease when f(x) decrease or increase respectively.

Moreover, $\frac{-1}{2}f(x)$ will be even if f(x) is even or odd respectively.

5 0

3 years ago