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3 years ago

Find the derivative of x2/8-8x

1 answer:

6 0

$h(x)=\dfrac{x^2}{8-8x}\\\\h'(x)=\left(\dfrac{x^2}{8-8x}\right)'\\\\\text{use}\ \left(\dfrac{f(x)}{g(x)}\right'=\dfrac{f'(x)g(x)-f(x)g'(x)}{[g(x)]^2}\\\\f(x)=x^2\to f'(x)=(x^2)'=2x\\\\g(x)=8-8x\to g'(x)=(8-8x)'=-8\\\\\text{substitute}\\\\h'(x)=\dfrac{2x(8-8x)-x^2(-8)}{(8-8x)^2}=\dfrac{16x-16x^2+8x^2}{(8-8x)^2}=\dfrac{16x-8x^2}{(8-8x)^2}$

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-35 = 7t, solve for t?

Debora [2.8K]

If you divide by 7 on both sides to get rid of t, you get -5!

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What are the domain and range of f(x)= log x-5?

Nookie1986 [14]

The answer is A
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3 years ago

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How do you simplify 50 1/2+ -12.3

levacccp [35]

50 1/2 = 50.5

50.5 + -12.3

When adding a negative number to a positive number, it basically becomes just subtraction so 50.5 + -12.3 means 50.5 - 12.3

50.5 - 12.3 = 38.2

3 0

3 years ago

HELP PLEASE THANK YOU! :) 50 POINTS !!!!!!!1

a_sh-v [17]

Answer: 0.88

Step-by-step explanation:

Let C is the event of drinking coffee, T is the event of drinking tea and M is the event of drinking milk.

Thus, when we make the Venn diagram of the given situation according to the given information,

Total number of people = 50

Number of people who like coffee, tea and milk = 19

Number of people who like coffee, tea but not milk = 16

Number of people who like coffee, milk but not tea = 2

Number of people who like tea, milk but not coffee = 5

Thus, the number of people who like tea only = Total people - (people who like coffee, tea but not milk + people who like coffee, tea and milk + the one who only like tea and milk but not coffee)

= 50 - ( 16 + 19 + 5) = 50 - 46 = 4

Thus, Total number of the person who like milk = 16 + 19 + 5 + 4 = 44

⇒ Probability that this person likes tea = $\frac{\text{ Total person who like to drink milk}}{\text{ Total number of people}}$ = $\frac{44}{50} = 0.88$

3 0

3 years ago

Norma has an A-frame cabin.The back is shown below. How many square feet of paint will she need to cover the back of the cabin?

a_sh-v [17]

I FOUND YOUR FULL QUESTION IN OTHER FUENETES.
PLEASE SEE ATTACHED IMAGE.
For this case what you should do is find the area of the triangle which will be given by:
A = (1/2) * (b) * (h)
Where
b: base
h: height
Substituting the values we have:
A = (1/2) * (25 1/2) * (15)
A = 191.25 feet ^ 2
Answer:
she will need 191.25 feet ^ 2 to cover the back of the cabin

7 0

3 years ago