Answer:
The set of natural numbers can be denoted as: {} (null set) because no natural number will satisfy the given equation.
Step-by-step explanation:
Given equation:
To find the set of natural numbers that satisfies the above equation.
Solution:
In order to find the set of solutions for the equation, we will solve it for 
We have:
Subtracting both sides by 8.
∴ 
Thus, we get only one solution for that satisfies the given equation but it is not a natural number. -3 is an integer.
Set of natural numbers {1,2,3,4,5,6........}
Thus, we can say the set of natural numbers that satisfies the equation is a null set {}.
Step-by-step explanation:
let blue marbles= B
yellow marbles = Y
red marbles = R
Answer:
f^-1(x) = x + 5
Step-by-step explanation:
f(x) = x-5
y = x-5
Exchange x and y
x = y-5
Solve for y
x+5 = y-5+5
x+5 =y
The inverse is x+5
<span>Start with a line segment PQ.<span>1Place the compasses on one end of the line segment.</span><span>2Set the compasses' width to a approximately two thirds the line length. The actual width does not matter.</span><span>3Without changing the compasses' width, draw an arc above and below the line.</span><span>4Again without changing the compasses' width, place the compasses' point on the the other end of the line. Draw an arc above and below the line so that the arcs cross the first two.</span><span>5Using a straightedge, draw a line between the points where the arcs intersect.</span><span>6Done. This line is perpendicular to the first line and bisects it (cuts it at the exact midpoint of the line).<span>
</span></span></span>
Answer:
Option C
Step-by-step explanation:
The absolute value or modulus of a real number x ( denoted by |x| ), is the non-negative value of x without regard to its sign.
Absolute value of 12 = | 12 | = 12
Also , absolute value of -12 = | -12 | = 12
Hence , the correct option is C.
