his score was increased... so if he is now at 67 and it was increased by 7 so his first grade would have been 60.
3yds because 1 yards is 3 feet so 3 times 3=9 feet greater than 8feet

if you get a positive value, that means 2 real solutions
if you get 0, means 1 real solution only
if you get a negative value, is an imaginary root solution, same as saying no solution.
This is always ''interesting'' If you see an absolute value, you always need to deal with when it is zero:
(x-4)=0 ===> x=4,
so that now you have to plot 2 functions!
For x<= 4: what's inside the absolute value (x-4) is negative, right?, then let's make it +, by multiplying by -1:
|x-4| = -(x-4)=4-x
Then:
for x<=4, y = -x+4-7 = -x-3
for x=>4, (x-4) is positive, so no changes:
y= x-4-7 = x-11,
Now plot both lines. Pick up some x that are 4 or less, for y = -x-3, and some points that are 4 or greater, for y=x-11
In fact, only two points are necessary to draw a line, right? So if you want to go full speed, choose:
x=4 and x= 3 for y=-x-3
And just x=5 for y=x-11
The reason is that the absolute value is continuous, so x=4 works for both:
x=4===> y=-4-3 = -7
x==4 ====> y = 4-11=-7!
abs() usually have a cusp int he point where it is =0
Hope it helps, despite being this long!
Answer:
Her hourly rate is <u>$14</u>.
Step-by-step explanation:
Given:
Penelope goes to work after school for 4.5 hours on Mondays, Tuesdays, and Fridays.
She works 8 hours each on Wednesdays or Thursdays.
Now, to find her hourly rate.
So, total hours Penelope work on Mondays, Tuesdays, and Fridays:

And, total hours she work on Wednesdays and Thursdays:

Now,<em><u> the total hours each week she work:</u></em>

<u><em>Total money she makes each week</em></u> = $413.
Now, to get the hourly rate we divide the total hours each week she work by total money she makes each week:


Therefore, her hourly rate is $14.