Answer:
She worked for 6 hours on Saturday.
Step-by-step explanation:
Number of hours worked by Danielle last week = 18.25 hours
She worked for three days, Monday, Wednesday and Saturday.
Let she worked on Saturday = x hours
Therefore, total hours worked by Danielle in three days = 6.5 + 5.75 + x
And the equation will be,
6.5 + 5.75 + x = 18.25
12.25 + x = 18.25
x = 18.25 - 12.25
x = 6
Therefore, she worked for 6 hours on Saturday.
1/3 is equivalent to 2/6 i hope this helped ^^
Answer:
a = 30
2a = 60
3a = 90
Step-by-step explanation:
3a + 2a + a = 180 ( Sum of angles of a triangle is 180)
6a = 180
a = 180/6
a = 30
2a = 2 x 30 =60
3a = 3 x 30 = 90
Answer:
The solutions
are
and the x-intercepts of
are 
Step-by-step explanation:
Finding the solutions to
means finding the roots, a root is where the function is equal to zero.
The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
To find the roots you need to:
Rewrite the equation with
and 

Solve by factoring






Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions to the quadratic equation are:

Substitute back
, solve for x

Apply the difference of squares formula


Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions are:

Because two of the solutions are complex roots the only x-intercepts are 