Answer:
The positive value of
will result in exactly one real root is approximately 0.028.
Step-by-step explanation:
Let
, roots are those values of
so that
. That is:
(1)
Roots are determined analytically by the Quadratic Formula:


The smaller root is
, and the larger root is
.
has one real root when
. Then, we solve the discriminant for
:


The positive value of
will result in exactly one real root is approximately 0.028.
Answer:
She went on the slide 8 times and on the roller coaster 4 times
Step-by-step explanation:
We convert each statements to a mathematical equation.
Firstly, let's represent the number of times she went on the coaster with R and the number of times on the slide with S. We know quite well she went on 12 rides. Hence the summation of both number of times yield 12.
Mathematically, R + S = 12. ........(i)
Now we also know her total wait time was 3hours. Since an hour equals 60 minutes, her total wait time would equal 180 minutes.
To get a mathematical representation for the wait time, we multiply the number of roller coaster rides by 25 and that of the slides by 10.
Mathematically, 25R + 10S = 180 .......(ii)
Here we now have two equations that we can solve simultaneously.
From equation 1 we can say R = 12 - S. We can then substitute this into equation 2 to yield the following:
25(12 - s) + 10s = 180
300 - 25s + 10s = 180
300 - 25s + 10s = 180
300 - 15s = 180
15s = 300 - 180
15s = 120
S = 120/15
S = 8
S = 8 , and R = 12 - S = 12 - 8 = 4
Answer:
x = - 8 , x = 2
Step-by-step explanation:
the absolute value function always gives a positive result, however, the expression inside can be positive or negative, , that is
x + 3 = 5 ( subtract 2 from both sides )
x = 2
or
-(3 + x) = 5
- 3 - x = 5 ( add 3 to both sides )
- x = 8 ( multiply both sides by - 1 )
x = - 8
4/5 divided by 8 is 0.1 other than that I don’t know that question is kind of vague