The cost of a book was decreased from 60 to 50 by what percent the price decrased with solution

Mathematics

1 answer:

Artist 52 [7]3 years ago

7 0

Answer:

The price decreased by 16 1/3%, or approximately 16.3%

Step-by-step explanation:

Use the formula for percent change. If the answer is negative, it is a percent decrease. if the answer is positive, it is a percent increase.

percent change = (new price - old price)/(old price) * 100%

In this case, use:

new price = 50

old price = 60

percent change = (new price - old price)/(old price) * 100%

percent change = (50 - 60)/60 * 100%

percent change = -10/60 * 100%

percent change = -1/6 * 100%

percent change = -100/6% = -50/3% = -16 1/3%

The price decreased by 16 1/3%, or approximately 16.3%

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Using the given zero to find the remaining zeros of the function f(x)=x^3-4^2+49x-196; zero: -7i

natima [27]

Because $f$ has real coefficients, you know the complex root occurs along with its conjugate. That is, both $x=\pm7i$ are roots to $f(x)$ .

This means that dividing through by both factors yields another polynomial with no remainder:

$\dfrac{x^3-4x^2+49x-196}{(x-7i)(x+7i)}=\dfrac{x^3-4x^2+49x-196}{x^2+49}=x-4$

This means the last root (there are only three according to the fundamental theorem of algebra) is $x=4$ .