About 2983 ft as you find the circumfrence and mult by 5
For quadratic
.. ax^2 +bx +c = 0
the discriminant is
.. d = b^2 -4ac
You have
.. a = 2
.. b = -5
.. c = 7
so the value of the discriminant for your equation is
.. (-5)^2 -4(2)(7)
.. = 25 -56
.. = -31
Because the discriminant is negative, the roots of the quadratic are complex.
Reasoning: this is the usual interpretation of the sign of the discriminant. It derives from the fact that the square root of the discriminant is part of the roots of the quadratic. That part will be imaginary when the discriminant is negative.
_____
The graph shows there are no real roots.
4) the information on this problem is that the she wants to charge $3-$4 for her baseballs and there are 28 players
Answer:
2^3 * 3
Step-by-step explanation:
Here are the first several prime numbers: 2, 3, 5, 7, 11, 13, 17, 19, 23
<em>To find the prime factorization of a number, start by dividing the number by the smallest prime number it is divisible by. Keep dividing by that prime number until you can't anymore. You only divide by prime numbers that divide evenly. Then move on to the next prime number that divides evenly, and do the same. You eventually will get to 1. Then you put together all the prime factors.</em>
This is much easier to do than it sounds like in this explanation.
Start with 24.
24/2 = 12
12/2 = 6
6/2 = 3 3 is not divisible by 2, so we move on to 3.
3/3 = 1 We got to 1, so we are done.
The prime factorization is the product of all the prime numbers we divided by which are in bold.
24 = 2 * 2 * 2 * 3
Now we index it:
24 = 2^3 * 3
Let the 1st number be x; 2nd number be y; 3rd number be z.
x + y + z = 79
x = number we are looking for.
y = x * 5 ==> 5 times the first
z = x + 16 ==> 16 more than the first
Therefor,
x + (x * 5) + (x+16) = 79
1st step, multiply the 2nd number: x * 5 = 5x
x + 5x + x + 16 = 79
Add all like numbers:
7x + 16 = 79
To get x, transfer 16 to the other side and change its sign from positive to negative.
7x = 79 - 16
7x = 63
To get x, divide both sides by 7
7x/7 = 63/7
x = 9
To check. Substitute x by 9.
x + (x * 5) + (x+16) = 79
9 + (9 * 5) + (9 + 16) = 79
9 + 45 + 25 = 79
79 = 79 equal. value of x is correct.