What is the answer to <br> 7/9

What is the degree of the polynomial c^4+7c^2

Ipatiy [6.2K]

It is a polynomial, and the degree is quartic

hope this helps

5 0

3 years ago

A) Use the limit definition of derivatives to find f’(x)

Ann [662]

$\text{Given that,}\\\\f(x) = \dfrac{ 1}{3x-2}\\\\\text{First principle of derivatives,}\\\\f'(x) = \lim \limits_{h \to 0} \dfrac{f(x+h) - f(x) }{ h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{1}{3(x+h) - 2} - \tfrac 1{3x-2}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{1}{3x+3h -2} - \tfrac{1}{3x-2}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{3x-2-3x-3h+2}{(3x+3h-2)(3x-2)}}{h}\\\\\\$

$~~~~~~~= \lim \limits_{h \to 0} \dfrac{\tfrac{-3h}{(3x+3h-2)(3x-2)}}{h}\\\\\\~~~~~~~~= \lim \limits_{h \to 0} \dfrac{-3h}{h(3x+3h-2)(3x-2)}\\\\\\~~~~~~~~=-3 \lim \limits_{h \to 0} \dfrac{1}{(3x+3h-2)(3x-2)}\\\\\\~~~~~~~~=-3 \cdot \dfrac{1}{(3x+0-2)(3x-2)}\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)(3x-2)}\\\\\\~~~~~~~=-\dfrac{3}{(3x-2)^2}$

$\text{Given that,}~\\\\f(x) = \dfrac{1}{3x-2}\\\\\textbf{Power rule:}\\\\\dfrac{d}{dx}(x^n) = nx^{n-1}\\\\\textbf{Chain rule:}\\\\\dfrac{dy}{dx} = \dfrac{dy}{du} \cdot \dfrac{du}{dx}\\\\\text{Now,}\\\\f'(x) = \dfrac{d}{dx} f(x)\\\\\\~~~~~~~~=\dfrac{d}{dx} \left( \dfrac 1{3x-2} \right)\\\\\\~~~~~~~~=\dfrac{d}{dx} (3x-2)^{-1}\\\\\\~~~~~~~~=-(3x-2)^{-1-1} \cdot \dfrac{d}{dx}(3x-2)\\\\\\~~~~~~~~=-(3x-2)^{-2} \cdot 3\\\\\\~~~~~~~~=-\dfrac{3}{(3x-2)^2}$

8 0

2 years ago

If the area of a rectangle equals 30 cm² and the perimeter is equal to 26 cm. Find the length and width of the rectangle.

Kamila [148]

Answer:

Length = 10 & width = 3

Step-by-step explanation:

Perimeter = Length + Length + Width + Width

26 = 2Length + 2 Width

26 = 2 ( Length + Width )

13 = Length + width

13 - Length = Width EQUATION 1

Area = Length X Width

30 = Length X ( 13 - Length )

30 = 13Length - Length ^2

Length ^2 - 13Length + 30 = 0

( Length - 3 )( Length - 10 )

Length = 3 or Length = 10

Therefore Length = 10

From equation 1

13 - Length = Width

13 - 10 = width

width = 3

8 0

2 years ago

Airline companies raise and lower their ticket prices based on the supply and demand. Due to high numbers of fliers, one company

vovikov84 [41]

The raised price represents 110% of the original price (100% plus the extra 10%)

A percentage is converted into a decimal multiplier by dividing by 100:
$\frac{110}{100} = 1.10$

To clarify the final stage, consider this (where $n$ is the original price):
$n * 1.10 = 192.50$
$1.10n = 192.50$

From here, basic algebraic rules make solving for $n$ easy:
$n = \frac{192.50}{1.10} = 175$

Therefore the original price of a ticket was $175

3 0

3 years ago

4 times the sum of 7 and 3 is subtracted from 41

Montano1993 [528]

Answer:

not so sure though but I think thats the answer

7 0

3 years ago

What is the answer to 7/9 - 3/8=