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
Nastasia [14]
3 years ago
14

The straight line 2x + 3y = 7 meets the curve

Mathematics
1 answer:
NISA [10]3 years ago
5 0

Step-by-step explanation:

xy + 10 = 0. => y = -10/x.

2x + 3y = 7. => 3y = -2x + 7, y = -2/3 x + 7/3.

When -10/x = -2/3 x + 7/3,

-10 = -2/3 x² + 7/3 x, 2/3 x² - 7/3 x - 10 = 0.

=> 2x² - 7x - 30 = 0

=> (2x + 5)(x - 6) = 0

=> x = -2.5 or x = 6.

dy/dx = d/dx [-10/x] = 10/x².

When x = -2.5, dy/dx = 10 / (-2.5)² = 1.6.

When x = 6, dy/dx = 10 / (6)² = 5/18.

Hence the gradients at the points are 1.6 and 5/18.

You might be interested in
A textbook store sold a combined total of 274 psychology and biology textbooks in a week. The number of psychology textbooks sol
Shalnov [3]

Answer:176 psychology textbooks and 98 Biology textbooks were sold.

Step-by-step explanation:

Let x represent the number of psychology textbooks that were sold.

Let y represent the number of biology textbooks that were sold.

textbook store sold a combined total of 274 psychology and biology textbooks in a week. This means that

x + y = 274 - - - - - - - - - - -1

The number of psychology textbooks sold was 78 more than the number of biology textbooks sold. This means that

x = y + 78

Substituting x = y + 78 into equation 1, it becomes

y + 78 + y = 274

2y = 274 - 78

2y = 196

y = 98

x = y + 78 = 98 + 78

x = 176

6 0
3 years ago
Read 2 more answers
the length of a swimming pool is 22 ft. the width is 40 ft. if the volume of the pool is 2,500 ft, which equation would you use
pochemuha
As we know that volume is three dimensional so we will multiply width, length and depth 
Now as we have to find the depth of the pool so
Volume= length*width*depth
depth=Volume/(length*width)
d=2500/(40*22)
d= 2500/880
depth=2.841ft
7 0
3 years ago
2 thousands divided by what number is equal to 2 hundreds?
laila [671]

Answer:

10

Step-by-step explanation:

it is 10 2000÷10=200

8 0
3 years ago
56 - (n + 4) For n = 44
loris [4]
Pretty sure the answer is 8
8 0
3 years ago
Read 2 more answers
Need help on this problem
trasher [3.6K]
The answer to the question

3 0
3 years ago
Other questions:
  • A conjecture and the flowchart proof used to prove the conjecture are shown.
    12·2 answers
  • One number is 10 times as large as another, and their difference is 81. Find the numbers.
    7·2 answers
  • Which distance measurment is most precise? <br> a. 2.57 <br> b. 1 <br> c. 10 <br> d. 26.3
    15·1 answer
  • The square root of 5 less than twice a number is 7. Find the number.
    13·1 answer
  • I need help trying to solve this question to the nearest tenth of a degree
    8·1 answer
  • A local college is forming a seven-member research committee having one administrator, three faculty members, and three students
    8·1 answer
  • Question below in photo!! Please answer! Will mark BRAINLIEST! ⬇⬇⬇⬇⬇⬇⬇
    5·1 answer
  • Supervisor: "You have been averaging 55 sales per day. Per our new policy, everyone
    8·1 answer
  • help help help help help help help help help help help help help help help help help help help help help help help help help hel
    13·1 answer
  • Will give brainliest need help asap! pls :)
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!