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
sergij07 [2.7K]
3 years ago
11

Solve (x 2 < 5) ∩ (x - 7 > -6).

Mathematics
1 answer:
Blababa [14]3 years ago
5 0
X + 2 < 5 and x - 7 > -6
x < 5 - 2 and x > -6 + 7
x < 3 and x > 1

Therefore, solutin is {x | 1 < x < 3}
You might be interested in
I don't know to find the answer to 8. Can someone explain to me?
lapo4ka [179]
Perhaps the easiest way to find the midpoint between two given points is to average their coordinates: add them up and divide by 2.

A) The midpoint C' of AB is
.. (A +B)/2 = ((0, 0) +(m, n))/2 = ((0 +m)/2, (0 +n)/2) = (m/2, n/2) = C'
The midpoint B' is
.. (A +C)/2 = ((0, 0) +(p, 0))/2 = (p/2, 0) = B'
The midpoint A' is
.. (B +C)/2 = ((m, n) +(p, 0))/2 = ((m+p)/2, n/2) = A'

B) The slope of the line between (x1, y1) and (x2, y2) is given by
.. slope = (y2 -y1)/(x2 -x1)
Using the values for A and A', we have
.. slope = (n/2 -0)/((m+p)/2 -0) = n/(m+p)

C) We know the line goes through A = (0, 0), so we can write the point-slope form of the equation for AA' as
.. y -0 = (n/(m+p))*(x -0)
.. y = n*x/(m+p)

D) To show the point lies on the line, we can substitute its coordinates for x and y and see if we get something that looks true.
.. (x, y) = ((m+p)/3, n/3)
Putting these into our equation, we have
.. n/3 = n*((m+p)/3)/(m+p)
The expression on the right has factors of (m+p) that cancel*, so we end up with
.. n/3 = n/3 . . . . . . . true for any n

_____
* The only constraint is that (m+p) ≠ 0. Since m and p are both in the first quadrant, their sum must be non-zero and this constraint is satisfied.

The purpose of the exercise is to show that all three medians of a triangle intersect in a single point.
7 0
3 years ago
HELP ASAP
kari74 [83]

Answer:

2. 4a+2c = 5000

4. a + c = 1600

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Simplify 5 cube root of 72
goldenfox [79]
The answer is 2.35215804
4 0
3 years ago
Merlin invested $48,750 into an interest-bearing account 7 years ago, and withdrew all of the money to close it. The
dmitriy555 [2]

Interset always positive ,if a bank don't give interest even though interset remains zero doesn't become negative

Let's find interest here to proof

  • Principal=P=48750
  • Annual=A=49975

Interest:-

  • A-P=49975-48750=1225
3 0
2 years ago
Find the next two terms: <br><br>1, 11, 111, 1111....​
Juli2301 [7.4K]

Answer:

1111, 11111

Step-by-step explanation:

5 0
3 years ago
Other questions:
  • ANSWER NOW PLEASE! EXTRA POINTS!
    14·1 answer
  • How are integers and their opposites related? give an example with numbers.
    15·1 answer
  • List three ways to express 3^5 as a product of powers
    14·1 answer
  • the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base​
    12·1 answer
  • What is 32 divided by 33?
    15·1 answer
  • Simplify the algebraic expression. -2(x - 5) + 4(9 + x)
    7·1 answer
  • Help please!!
    14·2 answers
  • Find the volume of the Cone. Use 3.14 for . Round your answer to the nearest hundredth ( 2 decimals). Show your work in this que
    14·1 answer
  • Thomas rents a car for his vaccation the milliage included with the 54 miles forer every mile he drives over 54 miles he needs t
    6·1 answer
  • 10. Amanda covers the outside of a box, shown in the diagram below, with
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!