Answer:

The graph is also attached.
Step-by-step explanation:
Given the expression

Apply absolute rule:

so the expression becomes


solving condition 1
x−3<5
Add 3 to both sides
x−3+3<5+3
x<8
solving condition 2
x−3>−5
Add 3 to both sides
x−3+3>−5+3
x>−2
combining the intervals

Merging overlapping intervals

Therefore,

The graph is also attached.
9514 1404 393
Answer:
see the attachment for a graph
(x, y) = (0.5, 2.5)
Step-by-step explanation:
The first equation has a slope of 1 and a y-intercept of 2.
The second equation has a slope of -1 and a y-intercept of 3.
The two lines cross at the point (0.5, 2.5), which is the solution to the system of equations.
Answer:
<h2>there are 22 dimes</h2><h2>there are 44 nickles</h2><h2 />
Step-by-step explanation:
D be dimes and N be nickles
2 nickles as dime
nickle = 5 cents and dime =10 cents
N=2D
0.10 D + 0.05 (N)=4.4 substitute N=2D
0.10 D +0.05(2D)=4.4
0.10D+0.10D=4.4
0.20 D=4.4
D=4.4/0.2 = 22
<h2>there are 22 dimes</h2>
N=2D
N=2(22)
N=44
<h2>there are 44 nickles</h2>
check : 0.10(22)+0.05(44)= 4.4 (correct)
22 quarters= $5.50
10 dimes= $1.00
$5.50 + $1.00 = $6.50
I just did trial and error. I started with 20 quarters and made changes until it worked.
Answer: Option 'B' and 'C' are correct.
Step-by-step explanation:
Since we know that irrational numbers are those real number which cannot be written in
form.
Rational numbers are those real numbers which can be written in
form.
Inverse property of multiplication is that property in which we write a number in reciprocal form .
Whole numbers starts from 0 and Natural numbers start from 1 and Integers contain both positive and negative numbers.
Hence,
belongs to rational numbers sets and inverse property of multiplication sets.
Therefore, Option 'B' and 'C' are correct.