First put it in standard form:
<span>x^2 −14x -15 =0
a =1 b =-14 c=-15
Then use the quadratic formula:
x = [-b +-sq root (b^2 - 4ac)] / 2a
x = [--14 +- sq root (14^2 -4*1*-15] / 2*1
x = [14 +-sq root (196 +60)] / 2
</span><span>x = [14 +- 16] / 2
x1 = 15
x2 = -1
</span>
Answer:
P = 1/2
Step-by-step explanation:
If the tourist spends more than 275$, they must not arrive in Chicago by bus.
( 150 + 60 < 275, 150 + 40 < 275)
The total options the tourist can make:
3 x 2 = 6
(1st leg: 3 possible options, 2nd leg: 2 possible options)
The number of options the tourist can make after excluding bus option:
2 x 2 = 4
(1st leg: 2 remaining possible options, 2nd leg: 2 possible options)
The number of options the tourist can make after excluding the bus option and spend more than 275$:
4 - 1 = 3
(excluding the case of selecting train and cab, because 225 + 40 < 275)
=> The probability that the tourist will spend more than 275$ on these 2 legs of the trip:
P = 3/6 = 1/2
Answer:
A rate is a ratio that is used to compare different kinds of quantities. A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. Some common unit rates are miles (or kilometers) per hour, cost per item, earnings per week, etc.
If you search that question up, this is what comes back.
Step-by-step explanation:
Answer: 37.68 feet.
Step-by-step explanation:
To find the diameter of a circle, use the equation:
C = 2 * pi * r, where r is the radius of the circle.
The diameter is 12 feet, and the radius is 6 feet.
C = 12 * pi
C = 37.68 feet.
Answer:
x = 1/14
Step-by-step explanation:
You can work it as is by subtacting ln(14), then taking antilogs:
ln(x) = -ln(14)
x = 14^-1
x = 1/14
___
Or you can rewrite to a single log and then take antilogs:
ln(14x) = 0
14x = 1
x = 1/14 . . . . . divide by the coeffient of x