If you find the discriminant it will tell you the number and types of roots. The discriminant is the value b^2 -4ac.
a = 1
b = 1
c = 1
1^2 - 4*1*1
1-4 = -3
Since this is a negative number there will be 2 complex roots.
Answer:
both kinds of tickets are $5 each
Step-by-step explanation:
Let s and c represent the dollar costs of a senior ticket and child ticket, respectively. The problem statement describes two relationships:
12s + 5c = 85 . . . . . revenue from the first day of sales
6s + 9c = 75 . . . . . . revenue from the second day of sales
Double the second equation and subtract the first to eliminate the s variable.
2(6s +9c) -(12s +5c) = 2(75) -(85)
13c = 65 . . . . . simplify
65/13 = c = 5 . . . . . divide by the coefficient of c
Substitute this value into either equation. Let's use the second one.
6s + 9·5 = 75
6s = 30 . . . . . . . subtract 45
30/6 = s = 5 . . . divide by the coefficient of s
The price of a senior ticket is $5; the price of a child ticket is $5.
Answer: 130 ft
Step-by-step explanation:
a^2 + b^2 = c^2
Where a and b are the legs that form the right angle and c is the hypotenuse (the side directly opposite of the right angle)
50^2 + 120^2 = c ^2
2,500 + 14,400 = c^2
16,900 = c^2
Take the square root of 16,900 to get c.
C = 130
Hypotenuse length is 130
Answer:
x= -4, -3, 3
Step-by-step explanation:
You must factor this equation.
Once you factor, you get (x+4)(x-3)(x+3)
Set this equal to 0 and solve.
You get -4,-3, and 3.