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Neporo4naja [7]
1 year ago
14

Find the difference quotient and simplify your answer. f(x) = 4x − x2, f(4 + h) − f(4) h , h ≠ 0

Mathematics
1 answer:
Anon25 [30]1 year ago
7 0

The difference quotient and simplification will be    = [4 -h-2x]

The given equation is as follows:   f(x)= 4x - x²

For finding the quotient and further simplification we must follow the following steps:

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

<h3>What is simplification of algebraic operations?</h3>

Getting the functions in their lowest terms is known as simplification.

Brackets will get open and solved further;

[f(x + h) - f(x)] / h = [4(x + h) - (x + h)² - 4x + x²]/ h

[f(x + h) - f(x)] / h = [4h - h² - 2x]/ h  

Finally dividing the whole equation with h;

                                = [4 - h - 2x] 

Learn more about algebraic operations,

brainly.com/question/12485460

# SPJ1

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2 years ago
5. When y varies directly with x, the value of y = -2 when x = 4. What is the value of y when x = 8?
zmey [24]

Answer:

-4

Step-by-step explanation:

if y = -2 then x = 4

what is y when x = 8

\frac{ - 2}{x}  =  \frac{4}{8}  \\  - 16 = 4x \\ x =  - 4

7 0
2 years ago
Select all of the following that are quadratic equations.
goldenfox [79]

Answer:

1. x² + 3x - 5 = 0

2. x² - x = 3 x + 7

4. 7x² + 14x = 0

Step-by-step explanation:

A Quadratic equation takes the form;

ax² + bx + c = 0

a, b, c are constants and a cannot be 0.

Options 1 fits this;

x² + 3x - 5 = 0

Option 2 fits this as well;

x² - x = 3 x + 7  

x² -x - 3x - 7 = 0

x² - 4x - 7 = 0

Option 4 fits this as well if c = 0.

7x² + 14x + 0 = 0

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3 years ago
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Paha777 [63]
780, or C, is correct.  Since 9.75 is 1/80th of the actual measurement, we can set up an equation like this:

9.75 = 1/80x

Then multiply each side by 80:

780 = x

The actual building's height is 780 ft.

We can check this answer by plugging in 780 for x in the original equation:

9.75 = 1/80(780)

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3 years ago
Please help answer the following question
Elena L [17]

Answer:

D

Step-by-step explanation:

The unmarked angle of the triangle is also 40o. The triangle is marked with two equal sides (isosceles).

<2 + 40 + 40 = 180            Combine the left

<2 + 80 = 180                    Subtract 80 from both sides

<2 = 180 - 80

<2 = 100 degrees.

That's not the answer. We have to solve for x

<2 = x + 106

100 = x + 106       Subtract 106 from both sides

100 - 106 = x

x = - 6

8 0
3 years ago
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