How can the average rate of change be found using a discrete graph?

1 answer:

5 0

In general, the average rate of change of f (x) on the interval a, b is given by f(b) – f(a) / b – a. The average rate of alteration of a function, f (x) on an interval is well-defined to be the variance of the function values at the endpoints of the interim divided by the difference in the x values at the endpoints of the interval. this is also known as the difference quotient that tells how on average, the y values of a function are changing in connection to variations in the x values. A positive or negative rate of change is applicable which match up to an increase or decrease in the y value among the two data points. It is called zero rate of change when a quantity does not change over time.

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Shakeva buys a car for $41.9K. Her state charges a 5% sales tax, $27 for registration, $19 for a new title certificate, and $45

OLEGan [10]

Answer:

Shakeva will pay $44,086 for the purchase including all the fee.

Step-by-step explanation:

Given that:

Cost of car = $ 41.9K = 41.9*1000 = $41900

Sales tax = 5%

Sales tax = 0.05 * 41900 = $2095

Registration = $27

New title certificate = $19

State safety and emissions inspection = $45

Total amount = 41900 + 2095 + 27 + 19 + 45 = $44086

Hence,

Shakeva will pay $44,086 for the purchase including all the fee.

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3 years ago

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Rzqust [24]

You need to include the question not just the explanation.

5 0

3 years ago

The segment GH and GI are tangent

vodka [1.7K]

Answer:

OG = 8.7

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.

The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.

OG² = OH² +GH²

OG² = 6² +6.3² = 75.69

OG = √75.69 = 8.7

The length of OG is 8.7 units.

______

<em>Additional comment</em>

You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).

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3 years ago

Set up a triple integral in spherical coordinates to compute the volume of the region inside the sphere x² + y² + z² = 4 and abo

Mademuasel [1]

The plane meets the sphere in the cylinder