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3 years ago

Which method do you prefer for solving the equation 2^x=16? Explain.

Mathematics

2 answers:

madreJ [45]3 years ago

7 0

Answer:

I'd just ask ma.th wa.y but...Yhea

Step-by-step explanation:

Create equivalent expressions in the equation that all have equal bases, then solve for

puteri [66]3 years ago

5 0

Step-by-step explanation:

step 1. 2^x = 16

step 2. ln(2^x) = ln16

step 3. xln2 = ln16

step 4. x = ln16/ln2 = 4ln2/ln2 = 4.

step 5. The method I prefer is using logarithms.

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If f(x) = startfraction 7 over x endfraction, then what is the slope of f(x) at x = 5? round your answer to 3 decimal places.

Flura [38]

The slope of the function to 3 dp is 0.280

<h3>Slope of a function</h3>

Slope is also known as the gradient of a function

Given the function $f(x) =\frac{7}{x}$

Taking the derivative of the function will give:

$f'(x)=-\frac{7}{x^2}$

Substitute x = 5 into the equation to have:

$f'(x)=-\frac{7}{5^2}$

$f'(x) = -\frac{7}{25}$

Hence the slope of the function to 3 dp is 0.280

Learn more on slope of function here: brainly.com/question/405397

4 0

2 years ago

7. Which of the following is not a rational number? O V100 3 o 00w 8 O 0 -0.135

alexira [117]

Answer:

i think 00w 8 (the picture shows question six not seven.)

Step-by-step explanation:

pew pew

4 0

3 years ago

Give a third degree polynomial that has zeros of 13, 5i, and −5i, and has a value of −680 when x=3. Write the polynomial in stan

Vikki [24]

Answer:

$\dfrac{17x^3-221x^2+425x-5525}{9}\\$

Step-by-step explanation:

hello

we need to find something like, a being real

$a(x-13)(x-5i)(x+5i)$

with a so that

$a(3-13)(3-5i)(3+5i)=-680\\\\a(-10)(3^2-(5i)^2)= -10(9+25)a=-360a=-680\\ a = \dfrac{680}{360}=\dfrac{17*40}{9*40}=\dfrac{17}{9}$

so the third degree polynomial that we are looking for is

$\dfrac{17}{9}(x-13)(x-5i)(x+5i)\\=\dfrac{17}{9}(x-13)(x^2+25)\\\\=\dfrac{17}{9}(x^3+25x-13x^2-13*25)\\\\\\=\dfrac{17}{9}(x^3-13x^2+25x-325)\\\\\\\\=\dfrac{17}{9}x^3-\dfrac{17*13}{9}x^2+\dfrac{17*25}{9}x-\dfrac{17*325}{9}\\=\dfrac{17}{9}x^3-\dfrac{221}{9}x^2+\dfrac{425}{9}x-\dfrac{5525}{9}\\$