Bella's cell phone cost $18 per month plus 0.15 dollars for every minute she uses her phone last month her bill was $29.25 for h
2 answers:
You might be interested in
The table of values for the given equation is presented below:
x y
-3 17
-2 2
-1 -7
0 -10
1 -7
2 2
3 17
<h3>Quadratic Function</h3>The Standard form for a quadratic equation is ax²+ bx + c=0, where: a, b and c are your respective coefficients. In the quadratic function, the coefficient "a" must be different than zero (a≠0) and the degree of the function must be equal to 2.
To solve a quadratic function, you should find the discriminant: D=b²-4ac and then use this variable in the formula: .
The given equation is a quadratic function because have a degree equal to 2. Then, when you plot the graph, you obtain a parabola.
First, you should replace the given values for x in the equation y=3x²-10
x y
-3 y=3*(-3)²-10= 3*9-10=27-10=17
-2 y=3*(-2)²-10= 3*4-10=12-10=2
-1 y=3*(-1)²-10= 3*1-10=3-10= -7
0 y=3*(0)²-10= 3*0-10=-10= -10
1 y=3*(1)²-10= 3*1-10=3-10= -7
2 y=3*(2)²-10= 3*4-10=12-10= 2
3 y=3*(3)²-10= 3*3-10=27-10= 17
Now, you have the points to draw the graph, show the attached image.
Read more about the quadratic function here:
#SPJ1
Answer
The are infinitely many prime numbers.
Step-by-step explanation:
(a)The fact that there are infinitely many prime numbers is well known from the times of Euclid. In his book, The Elements, there is the following proof:
Suppose that there are finitely many prime numbers. Let's order them in a sequence . Define the number
.
The fundamental theorem of arithmetic establishes that every natural number greater that 1 is prime or the product of prime numbers. Observe that P is not the product of prime numbers because the remainder when we divide by a prime number is one. Then P must be a prime number, and this is a new primer number, which contradicts the hypothesis that are all the prime numbers. Then there are infinitely many prime numbers.
(b) Observe that the set of prime numbers is an infinite subset of natural numbers. Then we can order the prime numbers in a infinite sequence . Then there is a one-to-one correspondence between prime numbers and natural numbers. Then, there are as many prime numbers as natural numbers.