Answer:
<u></u>
Explanation:
Determining the <em>domain</em> of the function P(x) = 2x + 8 is very trivial and does not require the uses of separate intervals.
The domain of a function is the set of input values (x) for which the function is defined. Thus, the domain of P(x) = 2x + 8 is all the real number, which in interval notaion is:
The symbol ∞ is used to indicate that there is not limit for the value of x: it can goe from any negative number to any positive number).
For didactic purposes let's determine the domain of the function
P(x) = 2/(x+8).
In this case, the function is not defined when the denominator equals 0.
Then, the domain excludes the values for which x + 8 = 0.
Then, the solution is all the real numbers different to - 8.
In <em>interval notation</em> it is:
In form of <em>inequaliy</em> that is:
That means, all the real numbers less than - 8 and all the real numbers greater than 8.
Answer: 120 Miles
Step-by-step explanation:
We start with $140.
The initial payment is $50.
$140 - $50 = $90
We now have $90 dollars to spend on miles.
$90/$0.75 per mil = 120 Miles
Using the remaining $90 we can drive 120 miles in a week.
<span>Irrational numbers are numbers that cannot be
expressed or represented as a ratio of two integers. Thus, the answer is K.
Infinite many because there are infinite numbers that can be found between numbers
1 to 6; numbers that cannot be expressed as repeating decimals or so.
Think that between numbers 1 to 2 , there are many irrational numbers between
same in numbers 2 to 3 , 3 to 4, 4 to 5 and 5 to 6.
Thus, There are infinite numbers of irrational number between numbers 1 to 6</span>
SIDE LENGTH OF TRIANGLE: 2.14 inches
SIDE LENGTH OF HEXAGON: 6 inches
To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches
Answer:
51*2=102. 210-102=108. 108/2=54.
The length is 54.