1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GarryVolchara [31]
3 years ago
9

If x^2 +2xy -8 = 0, then when x = 4, dy/dx =

Mathematics
2 answers:
Tasya [4]3 years ago
6 0
The correct answer is E, hope I am right!
Katena32 [7]3 years ago
3 0
For simplicity, dy/dx means f'(x);
We have y = ( 8 - x^2 ) / 2x;
Then, y = 4/x - x/2;
So, f'(x) = (4/x - x/2)' = (4/x)' - (x/2)' = -4/(x^2) -1/2 because we use <span> d<span>ifferentiation formulas, such as : (f+g)' = f' + g'; (cf)' = cf'; x'=1; (1/x)' = -1/(x^2);
</span></span>Finally, f'(4) = -4/16 -1/2 = -4/16 - 8/16 = -12/16 = -3/4.
The correct answer is E.
You might be interested in
A turtle and a snail are 300 feet apart when they start moving towards each other. The turtle is moving at a speed of 5 feet per
Vladimir [108]
It will take 50 minutes for the turtle and snail to meet.
because they are all moving at feet per minute we can create a formula
total feet = (turtle feet per minute) + (snail feet per minute)
300 = 5m +1m
combine like terms
300 = 6m
divide both sides by 6 
50=m
8 0
3 years ago
Read 2 more answers
Sherry has a standard deck of cards. The deck has 52 total cards and contains 4 suits: hearts, clubs, diamonds, and spades. Each
tatyana61 [14]

Answer:

c) Events A and B are independent events.

The outcomes of events A and B are dependent on each other.

P(A and B)=P(A)•P(B)

Step-by-step explanation:

Given:

Total number, n = 52

Each suit contains 13 cards: 2 to 10, a jack, a queen, a king, and an ace.

Since there are 4 suits, it means the number of each card is four.

P(A) = event of picking a king

P(B) = event of picking a 3

Therefore the probability of picking a king = P(A) = \frac{4}{52}

Probability of picking a 3 = P(B) = \frac{4}{52}

Since only a card is picked, the probability a king is picked after picking a 3 is 0.

i.e P(A|B) = 0 ≠ P(A) = \frac{4}{52}

option A is wrong

The probability a 3 is picked after picking a king is 0.

i.e P(B | A) = 0 ≠ P(B) = \frac{4}{52}

option B is wrong

Events A and B are independent events.

The outcomes of events A and B are dependent on each other.

P(A and B)=P(A)•P(B)

Option C is correct.

7 0
3 years ago
If a jogger runs a 10-kilometer race in 60 minutes, what is her average speed?
STALIN [3.7K]

Answer:

A

Step-by-step explanation:

Speed = distance/ time

=10km/ 1hr(60mins)

= 10km/ 1hr

=10km/hr

3 0
3 years ago
there are 6 times as many dogs as cAts. if tje total number of dogs and cats is 21 how many dogs are tjrre
frez [133]
There are 18 dogs. You do 21/7.


5 0
3 years ago
What is the change in temperature from 15° to -9°?<br> (the choices in the docx)
morpeh [17]
I would say D because 15 to -9 would be going down 24.
4 0
3 years ago
Other questions:
  • Heather wants to purchase a pet from her local pet store. The pet store is offering 50% off rare exotic parrots. The original pu
    14·2 answers
  • Which fraction is NOT equivalent to 8/12 and why?
    10·2 answers
  • (0.0196N) x (0.016m) =
    9·2 answers
  • What is the answer of (4x+8) (2x-4)
    14·2 answers
  • Helphelphelphelphelp​
    9·1 answer
  • A street sign is 7 feet 2 inches tall. How tall is it in inches?
    11·1 answer
  • The perimeter of a square patio is (8x-28). what is the length of one side?
    5·1 answer
  • A teacher wrote these numbers on the board: -5, -3,
    6·1 answer
  • The sum of the measures of two angles is 140 degrees. The ratio of their measures is 3:4.
    15·1 answer
  • Find the area of the polygon.
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!