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Lilit [14]
3 years ago
9

What is 44/12 in simplest form?

Mathematics
2 answers:
djverab [1.8K]3 years ago
7 0
The numerator and denominator when both divided by 4 results in the fraction 11/3. To simplify this further, you can turn it into a mixed number which is 3 2/3
vekshin13 years ago
5 0
The answer is 3and 2/3
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Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval? f(x) = e−4x, [0, 2] Yes, it does not m
Zigmanuir [339]

Answer:

(a) Yes, it does not matter if f is continuous or differentiable; every function satisfies the Mean Value Theorem.

(b) c =0.51995

Step-by-step explanation:

Given

f(x) = e^{-4x};\ [0,2]

Solving (a); Does the function satisfy M.V.T on the given interval

We have:

f(x) = e^{-4x};\ [0,2]

The above function is an exponential function, and it is differentiable and continuous everywhere

Solving (b): The value of c

To do this, we use:

f'(c) = \frac{f(b) - f(a)}{b - a}

In this case:

[a,b] = [0,2]

So, we have:

f'(c) = \frac{f(2) - f(0)}{2 - 0}

f'(c) = \frac{f(2) - f(0)}{2}

Calculate f(2) and f(0)

f(x) = e^{-4x}

So:

f(2) = e^{-4*2} = e^{-8} = 0.00033546262

f(0) = e^{-4*0} = e^{0} = 1

This gives:

f'(c) = \frac{0.00033546262 - 1}{2}

f'(c) = \frac{-0.99966453738}{2}

f'(c) = -0.4998

Note that:

f'(x) = (e^{-4x})'

f'(x) = -4e^{-4x}

This implies that:

f'(c) = -4e^{-4c}

So, we have:

f'(c) = -0.4998

-4e^{-4c} =-0.4998

Divide both sides by -4

e^{-4c} =\frac{-0.4998}{-4}

e^{-4c} =0.12495

Take natural logarithm of both sides

\ln(e^{-4c}) =\ln(0.12495)

\ln(e^{-4c}) =-2.0798

Apply law of natural logarithm

\ln(e^{ax}) =ax

So:

-4c =-2.0798

Solve for c

c =\frac{-2.0798}{-4}

c =0.51995

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2 years ago
Rewrite the product (x-3)^2 in standard form.
Schach [20]

Answer:

x² - 6x + 9

Step-by-step explanation:

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3 years ago
Write a function g whose graph is a horizontal shrink by a factor of 1/3
mote1985 [20]

Answer:

  • g(x) = 6|x + 1| - 2

-----------------------------------------

Given:

  • Function f(x) = 2|x + 3| - 2

Find a function g which is a horizontal shrink by a factor of 1/3 of f(x).

Horizontal shrink by a factor of k is:

  • g(x) = f(x/k)

Apply this to the given function:

  • g(x) = f(x : 1/3) = f(3x) = 2|3x + 3| - 2 = 6|x + 1| - 2

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Determine whether the graph of the quadratic function y = –x^2 – 10x + 1 opens upward or downward. Explain.
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C. If the first coefficient is negative, then the graph opens downwards
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Using identities, find a)(2 + 3) 2 b) (x+2y) (x-2y)​
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Pop ok you see so the answer here would be frantically elastic
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