Answer:
Solving the inequality 
we get 
The graph of the inequality is shown in figure attached.
Step-by-step explanation:
We need to Solve each compound inequality
Solving the inequalities
For solving compound inequalities we solve both inequalities simultaneously and find the value of m.
For solving 5+m > 4, we subtract 5 from both sides.
While solving 7m < -35, we divide both sides by 7 to get value of m
Applying these functions we get:
So, solving the inequality we get
The graph of the inequality is shown in figure attached.
Answer:
It's an irrational number
Step-by-step explanation:
Examples:
√2 = 1.4142135623730950488016887242096980785696718...
π = 3.14159265358979323846264338327950288419716939...
e = 2.718281828459045235360287...
∛10 = 2.1544346900318837217592935665193504952593449421921...
and more
If the number has a finite or repeating decimal, then it is a rational number.
Examples:
2.75
-1.3333...
0.4545454545...
Step-by-step explanation:
I have used substitution method here to find the value of x and y.
Answer:
To figure out the common denominator for these fractions, I'll first need to factor that quadratic in the denominator on the right-hand side of the rational equation. This will also allow me to find the disallowed values for this equation. Factoring gives me:
x2 – 6x + 8 = (x – 4)(x – 2)
The factors of the quadratic on the right-hand side "just so happen" to be duplicates of the other denominators. This often happens in these exercises. (So often, in fact, that if you get completely different factors, you should probably go back and check your work.)
Step-by-step explanation:
Answer:
-The scale drawing represents a reduction
-each side of the original is 22 in long
-the scale drawing is proportional to the original
Step-by-step explanation:
