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UNO [17]
4 years ago
13

Write an absolute value equation to satisfy the given solution set shown on a number line. PLEASE HELP

Mathematics
2 answers:
Darina [25.2K]4 years ago
8 0

Answer: Ix - 4I ≤ 4

Step-by-step explanation:

You can see a black dot in the zero, and a black dot in the 8.

So those are the extremes of our set and are included in the set of solutions, we have that the set is defined by:

0 ≤ x ≤ 8.

Now we want to construct an absolute value equation such that the set {0 ≤ x ≤ 8} is the set of solutions.

The first step is to find the middle value of that set:

The middle value is equal to half of the difference between the extremes:

m = (8 - 0)/2 = 4.

Now we know the middle point, so we can write the equation:

Ix - mI ≤ m

m = 4

Ix - 4I ≤ 4

That is our inequality.

Where the "equal" part of ≤ is for the values x = 0 and x = 8.

aniked [119]4 years ago
7 0
I can do it I believe inu
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If it takes Laine 3 hours to wash the windows, Leslie 4 hours to wash the same windows, and Lance 5 hours to wash the windows, h
pentagon [3]

Answer:

Step-by-step explanation: 0.78 hours

4 0
3 years ago
The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is .
IrinaVladis [17]

Answer:

6

Step-by-step explanation:

4n - 12 < 2n + 2 is for n=6

4×6 -12 < 2×6 +2

24 - 12 < 12 + 2

12 < 14 correct

for n=7

4×7 - 12 < 2×7 + 2

16 < 16 incorrect

for n=8

4×8 - 12 < 2×8 + 2

20 < 18 incorrect

for n=9

4×9 - 12 < 2×9 + 2

24 < 20 incorrect

so, only for n=6 is the expression true.

3 0
3 years ago
Use the graph of a quadratic function to find the following:
grigory [225]

Answer:

a: (2, 8) it's where the loop is

b: x = 2 its where the U would fold over itself

c: (0,0)

d: (0,0) , (4, 0)

e:

domain- (negative infinity, infinity)

range- (negative infinity, 8)

the answers that you did that i can see are right! don't be embarrassed to not be sure of your answers.

4 0
3 years ago
Help please!!!!!!!!!!
Scorpion4ik [409]

Answer:

H. 1/9.

Step-by-step explanation:

The area of a circle is calculated by solving for πr^2.

The smallest circle has an area of π1^2 = π * 1 = π.

The middle ring will then have an area of π2^2 - π = π * 4 - π = 4π - π = 3π.

The largest ring will then have an area of π3^{2} - π2^{2} = 9π - 4π = 5π.

5π + 3π + π = 9π

So, the probability of hitting the innermost circle will be π / 9π = 1 / 9.

Your answer is H. 1/9.

Hope this helps!

7 0
4 years ago
There are eight students on the minibus five of the students are boys what fraction of the students are boys
ioda
Number of boy students on bus = 5
Total number of students on the bus = 8

Fraction of students are boys = 5 / 8
6 0
4 years ago
Read 2 more answers
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