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Mathematics

1 answer:

jenyasd209 [6]2 years ago

4 0

The correct answer is A: 2.

The slope compares the vertical change (the rise) to the horizontal change (the run) when moving from one fixed point to another along the line.

If you look at your graph, it takes 2 units up and 1 unit to the right in order to get to the next point on the line.

Therefore, the slope of the line is 2/1, or simply 2. It has a positive value because the line is sloping upward.

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Find the slope of the tangent line to the curve f(x)=e^(x) at (0.4,1.49)

almond37 [142]

Answer:

1.49

Step-by-step explanation:

In order to find the slope of the tangent line to a given equation, and in a given point, we need to:

1. Find the first derivative of the given function.

2. Evaluate the first derivative function in the given point.

1. Let's find the first derivative of the given function:

The original function is $f(x)=e^{x}$

But remeber that the derivative of $e^{x}$ is $e^{x}$

so, $f'(x)=e^{x}$

2. Let's evaluate the first derivative function in the given point

The given point is (0.4,1.49) so:

$f'(x)=e^{x}$

$f'(0.4)=e^{0.4}$

$f'(x)=1.49$

Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.

8 0

3 years ago

The two-way table shows the number of books of each type in Eliza's home what is the probability that a randomly selected refer

Salsk061 [2.6K]

Answer:

B. 0.4

Step-by-step explanation:

Use the definition of the probability

$Pr=\dfrac{\text{Number of all favorable outcomes}}{\text{Number of all possible outcomes}}$