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2 years ago

Simplify the expression and show work.

Mathematics

1 answer:

nasty-shy [4]2 years ago

4 0

Answer:

72/149

Step-by-step explanation:

Just to clarify, the curly braces mean the same thing as normal parenthesis.

(12 + 5^2) = (12 + 25) = 37

(-7-15)^2 = (-22)^2 = 484

6^3 = 216

(12 + 5^2) - (-7-15)^2 = 37 - 484 = 447

6^3 / ((12 + 5^2) - (-7 - 15)^2) = 216 / 447 = 72/149

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Given that f(–2.4) = -1 and f(-1.9) = -8, approximate f'(-2.4). f'(-2.4)

lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Functions

Function Notation

Calculus

Differentiation

Derivatives
Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

[Derivative] Set up [Slope Formula]: $\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}$
Substitute in coordinates: $\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}$
Evaluate: $\displaystyle f'(-2.4) \approx -14$

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Learn more about derivatives: brainly.com/question/17830594

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

6 0

2 years ago

Given m||n, find the value of x. kt (7-10) (6x-5)°

Dennis_Churaev [7]

Answer:

Step-by-step explanation:

So, leets look at the graph.

We can see that the lines being solved for tecnically make up 180 degrees.

This is because the value of the angles on line m are equal to the value of the angles on line n.

So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.

Lets combine these two equations, and subtract them from 180 degrees to solve for x:

7x-1+6x-5

13x-15

Now to solve for x:

13x-15=180

Add 15 to both sides to get 13x alone:

13x=195

Then divide both sides by 13 to get x alone:

x=15

So our value of x is 15!

Hope this helps! :)

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2 years ago

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Marianna [84]

Answer:

Goodluck I had this before and couldn't get it

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melisa1 [442]

Answer: ummm i think it's -1

Step-by-step explanation:

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3 years ago

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