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
Employment Surveys Employment statistics in the US are often based on two nationwide monthly surveys: the Current Population Sur
KATRIN_1 [288]

Answer:

Following are the solution to this question:

Step-by-step explanation:

Just Parts (c) were discussed because they were mentioned in the issue.

A subpart of (c):

In point (i)

The answer is 1 for the CES since only CES has salary and wage rates information.

In point (ii)

The answer is 2 for the CPS because only the CPS has job status information.

In point (iii)

The answer is 3 for the CPS as detailed in this issue, neither CES nor CPS explicitly states gender information. Even so, population studies generally include a 'gender' requirement.

3 0
3 years ago
Question:
Anuta_ua [19.1K]

Answer:

Step 1:

Addition is commutative

A + B = B + A

So the terms can be rearranged

Step 4:

2x(2x - 3) + 5(2x - 3)

Since (2x - 3) is common to both terms,

You can take it common

(2x - 3)(2x + 5)

This can be proved verified using distribution property

(2x - 3)(2x + 5) is the same as

(2x + 5)(2x - 3) because multiplication is commutative

3 0
3 years ago
100-(2 8/5+1 3/8)×(3.05-0.8
Leya [2.2K]
<span>88.80625 is the answer because I used a calculator.</span>
5 0
3 years ago
Don's reading group has read 168 books this year his reading group has six members each member read the same amount of books how
NNADVOKAT [17]

Answer:

28 Books

Step-by-step explanation:

If there are 6 members and you are looking for how many EACH of them read, you divide how many books they've read all together by how many members there are.

168 ÷ 6 = 28

hope this helped

7 0
3 years ago
What is the x and y of y = −6x − 22
NeTakaya

Answer: x=-1/6y+-11/3, y=-6x-22

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • Why did populist party want to have a silver standard instead of a gold standard?
    9·1 answer
  • 75 minutes are greater than less than or equal to 7 hours
    12·1 answer
  • Simplify each expression
    15·1 answer
  • Can someone please help me with this ?
    13·1 answer
  • Approximately how many cars are expected to be parked in the lot at 4:00 p.m.?
    14·2 answers
  • Sara took skydiving lessons. The Skydiving Shack charges $30 per hour for lessons. Sara also gave her
    7·1 answer
  • What is an equation in point slope form of the line that passes through the point (8,5) and has a slope -7?
    8·1 answer
  • Identify the property demonstrated:
    7·1 answer
  • The sum of 3 and y<br> is greater than 10.
    7·2 answers
  • Himari gave birth to twins and named them Adrian and Chang. When they were first born, Adrian massed 2.872.872, point, 87 kilogr
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!