Answer:
The x-intercept of the line is 4 minutes.
That 4 minutes gives the time when Shari will reach her home.
Step-by-step explanation:
The line 6x - 3y = 24......... (1), represents Shari's distance from home, y in blocks, on her run across town over time, x, in minutes.
So, at y = 0, from the above equation (1), we get 6x - 0 = 24, ⇒ x = 4.
Therefore, the x-intercept of the line (1) is 4 minutes.
That 4 minutes gives the time when Shari will reach her home and the distance between her and her home is zero blocks. (Answer)
Since 
and 
are roots of 
, we can factorize the quadratic in terms of the roots as
Expanding the right side gives
so that
A polynomial with roots 
and 
would be
and expanding this gives
Now,
and
So we can write the second quadratic in terms of 
as
and to make things look cleaner, scale the whole expression by 
to get
Answer: a.= 28.2°, b= 13.6cm, c = 3.2cm.
Step-by-step explanation:
For this case we have the following variables:
x = the number of drill-based workouts
y = the number of conditioning workouts
The system of equations that adapts to the situation is:
"According to her schedule, she can complete at most 10 workouts this week":
x + y <= 10
"It takes Gianna 45 minutes to complete her drill-based workouts and 30 minutes to complete her conditioning workouts. She is required to spend more than 450 minutes on workouts every week"
45x + 30y> 450
Answer:
A system of inequalities can that be used is:
x + y <= 10
45x + 30y> 450
