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
LenKa [72]
3 years ago
10

Which conjunction or disjunction is equivalent to the open sentence |a – 7| ≤ 5?

Mathematics
2 answers:
xz_007 [3.2K]3 years ago
3 0
Answer: Choice C
a-7 \le 5 (a-7 is less than or equal to 5)
and
a-7 \ge -5 (a-7 is greater than or equal to -5)

----------------------------------------------------

Explanation:

|a-7| \le 5 is the same as -5 \le a-7 \le 5

We can use the rule that if |x| \le k then -k \le x \le k where k is any positive number

After we get -5 \le a-7 \le 5, we break it down into two pieces. The first piece is -5 \le a-7 while the second piece is a-7 \le 5

Flip the two sides of -5 \le a-7 to get a-7 \ge -5

So we have a-7 \le 5 and a-7 \ge -5

That's why the answer is choice C

Side Note: we must use the connector "and" instead of "or". Both parts of a-7 \le 5 and a-7 \ge -5 need to be true, instead of just one part only. This is why we can rule out choice B due to the "or" connector.

klasskru [66]3 years ago
3 0

Answer = a - 7 _< 5 and a - 7 >_ - 5

3rd one is correct

or C is correct

You might be interested in
What is the greatest common factor of 3, 53, 73 and 74?
Annette [7]
I think it's 74 because 3 has the factor :1,3 
53 has the factor: 53,1
73 has the factor:1 ,73
74 has the factor:1,74,2,37
4 0
3 years ago
What are the values of x in the equation x2 – 6x + 9 = 25? x = –2 or x = 8 x = –1 or x = –11 x = 1 or x = 11 x = 2 or x = –8
beks73 [17]

Answer:

x = 8 or x = -2

Step-by-step explanation:

x^2 - 6x + 9 = 25

x^2 - 6x - 16 = 0

The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a

with a = 1

b = -6

c = -16

substitute in the formula

x = [-(-6) +/- √(-6^2 - 4(1)(-16))]/2(1)

x = [6 +/- √(36 + 64)]/2

x = [6 +/- √10]/2

x = [6 +/- 10]/2

x1 = [6 + 10]/2 = 16/2 = 8

x2 = [6 - 10]/2 = -4/2 = -2

8 0
3 years ago
Read 2 more answers
Divide each of the following by 10, 100, and 1000: 67.8, 456.8, 531.20.
Inessa05 [86]
67.8: 6.78, 0.678, 0.0677
456.8: 45.68, 4.568, 0.4568
531.20: 53.12, 5.312, 0.5312
The pattern here is that the number of 0s there are in the digit of whatever you are dividing by, that is how many places you move the decimal place to the right. For example, by dividing 67.8 by 100, the decimal place has been moved 2 places to the right, resulting in the number 0.678
6 0
4 years ago
Please help tell me what i put on estimate and product
ololo11 [35]

Answer:

You should have it right I checked the math the product is right and the estimate would mate sense so that should be right

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
a technology company makes more than 5 printer every hour. Which graph represent the number of printers made in 4 hours?
kiruha [24]

Answer:

See the attached file

Step-by-step explanation:

Given data

Say numbers of printer made per hour = 5 printers

Hence in 1 hour, they will make 5 printers

in 4 hours they will make

=4*5

=20 printers

The graph of this situation when plotted will give a straight line graph

Kindly find attached a straight line graph for your reference

6 0
3 years ago
Other questions:
  • the human heart beats approximately 1.152x10^5 times per day. approximately how many times a year does the heart beat?
    15·1 answer
  • This rectangular prism is created with centimeter cubes. how many cubed centimeters make up this prism? rectangular prism compos
    13·1 answer
  • What is the value of the expression –c + d when c = 12.7 and d = –4.4?
    8·1 answer
  • 4.45 as a mixed number
    10·1 answer
  • Trouble finding arclength calc 2
    14·1 answer
  • Solve the inequality <br> g/-100=6
    6·1 answer
  • Arrange the decimals from least to greatest. Choose the letter below that shows the order least to greatest.
    6·1 answer
  • after 24 years Rebecca will be thrice as old as what she is now how old will Rebecca be after 5 years from now​
    5·1 answer
  • Estimate 80,767 - 37,291 by first rounding each number to the nearest thousand.
    7·1 answer
  • Graph the line y = -2x - 2
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!