Mathematics, 18.07.2019 23:30 princesstn28oqlfir

Below is the graph of y=b^x. find b.

Answers: 2

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Answers

Y = b^x

when x = 1
y = b^1
y = b

Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5

To confirm this

From the graph,

When x = -1, y = 2
Since y = b^x
2 = b^-1
2 = 1/b
2b = 1
b = 0.5

When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5

Therefore, it is conformed that b = 0.5

Answer from: nanny2204p4ipj9

Functions can be represented as equations, and equations can be represented as functions.

The value of b is 1/2

The graph is given as:

$\mathbf{y = b^x}$

From the graph, we have the following point:

(x,y) = (-1,2)

Substitute these values in the function

$\mathbf{2 = b^{-1}}$

Rewrite as:

$\mathbf{2 = \frac{1}{b}}$

Multiply both sides by b

$\mathbf{2b = 1}$

Divide both sides by 2

$\mathbf{b = \frac{1}2}$

Hence, the value of b is 1/2

Read more about graphs and functions at:

link

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

step-by-step explanation:

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