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Lerok [7]
3 years ago
12

Write an equation to solve each problem.

Mathematics
1 answer:
Alenkasestr [34]3 years ago
4 0

Answer: just dont know

Step-by-step explanation:

:)

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Use f’( x ) = lim With h ---> 0 [f( x + h ) - f ( x )]/h to find the derivative at x for the given function. 5-x²
beks73 [17]
<h2>Answer:</h2>

The derivative of the function f(x) is:

                 f'(x)=-2x

<h2>Step-by-step explanation:</h2>

We are given a function f(x) as:

f(x)=5-x^2

We have:

f(x+h)=5-(x+h)^2\\\\i.e.\\\\f(x+h)=5-(x^2+h^2+2xh)

( Since,

(a+b)^2=a^2+b^2+2ab )

Hence, we get:

f(x+h)=5-x^2-h^2-2xh

Also, by using the definition of f'(x) i.e.

f'(x)= \lim_{h \to 0} \dfrac{f(x+h)-f(x)}{h}

Hence, on putting the value in the formula:

f'(x)= \lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-(5-x^2)}{h}\\\\\\f'(x)=\lim_{h \to 0} \dfrac{5-x^2-h^2-2xh-5+x^2}{h}\\\\i.e.\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2-2xh}{h}\\\\f'(x)=\lim_{h \to 0} \dfrac{-h^2}{h}+\dfrac{-2xh}{h}\\\\f'(x)=\lim_{h \to 0} -h-2x\\\\i.e.\ on\ putting\ the\ limit\ we\ obtain:\\\\f'(x)=-2x

      Hence, the derivative of the function f(x) is:

          f'(x)=-2x

3 0
3 years ago
Read 2 more answers
Help me with this I can’t figure it out
Stella [2.4K]

Answer:

y = 4x+6

The input is 11 when the output is 50

Step-by-step explanation:

We need to find the slope of this function using 2 points

(3,18) and (0,6) are two points

m = (y2-y1)/(x2-x1) is the formula for slope

  =(6-18)/(0-3)

  -12/-3

  =4

The slope is 4

We know the y intercept.  It is the value when x =0.  The y intercept is 6

We can use the slope intercept form of the equation

y = mx+b, where m is the slope and b is the y intercept.

y = 4x+6

We want to know the input when the output is 50 (or y=50)

50 = 4x+6

Subtract 6 from each side

50-6 = 4x+6-6

44 = 4x

Divide by 4

44/4 = 4x/4

11=x

The input is 11

3 0
3 years ago
Read 2 more answers
Write each decimal as a fraction in lowest terms <br><br> 0.255
Vesnalui [34]

Answer:

51/200

Step-by-step explanation:

To write a decimal as a fraction, you have to make the decimal the numerator, and put a multiple of ten with that number of zeroes in the denominator:

0.255 = 255/1000

Then we simplify

51/200

6 0
1 year ago
Describe the dimensions of two different prisms that each have a volume of 2,400 cubic centimeters
MArishka [77]
That it is 4,6090 because when u divide that ,400 by 2,400 u will get 4,000
8 0
3 years ago
Prompt: Data plays a crucial role in decision-making because it can reveal relationships between different quantities. We can of
Marina86 [1]

Answer:

You can run Design of experiments to quicky collect data and fine tune an analyze you data and information. Run the experiment multiple times to confirm the data. This will help you with trend analysis.

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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