We know for our problem that the zeroes of our quadratic equation are
and
, which means that the solutions for our equation are
and
. We are going to use those solutions to express our quadratic equation in the form
; to do that we will use the <span>zero factor property in reverse:
</span>
<span>
</span>
<span>
Now, we can multiply the left sides of our equations:
</span>
<span>= </span>
=
=
Now that we have our quadratic in the form
, we can infer that
and
; therefore, we can conclude that
.
Answer:
For anything you have to ask question, right? How can someone understand if you just show the figure
Answer:
7 hours 15 minutes
7.25 hours
Step-by-step explanation:
Break from 11:45 am to 12:30 pm = 45 minutes
Two 15-minute unpaid coffee breaks during the day = 30 minutes
Total break hours = 45 minutes + 30 minutes
= 1 hour 15 minutes
Total work day hours from 8:30 am to 5:00 pm = 8 hours 30 minutes
How many hours are you paid?
Total hours paid = Total work day hours - Total unpaid break hours
= 8 hours 30 minutes - 1 hour 15 minutes
= 7 hours 15 minutes
b) Express your answer as a decimal in hours only
7 hours 15 minutes as a decimal
15 minutes to hour = 60 minutes/15 minutes
= 1/4
= 0.25 hours
7 hours 15 minutes as a decimal = 7 hours + 0.25 hours
= 7.25 hours
Answer:
a) For this case we can use the fact that 
And for this case since we ar einterested on 
and we know that the if we are below the y axis the sine would be negative then:
b) From definition we can use the fact that 
and we got this:
We can use the notabl angle 
and we know that :
Then we know that 
correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
Step-by-step explanation:
For this case we can use the notable angls given on the picture attached.
Part a
For this case we can use the fact that
And for this case since we ar einterested on and we know that the if we are below the y axis the sine would be negative then:
Part b
From definition we can use the fact that and we got this:
We can use the notabl angle and we know that :
Then we know that correspond to 225 degrees and that correspond to the III quadrant, and we know that the sine and cosine are negative on this quadrant. So then we have this:
Answer:
32
Step-by-step explanation:
We can write an algebraic equation to solve this situation: 
, where x = first integer (small number) and x + 1 = the following integer.
Step 1: Combine like terms.
Step 2: Subtract 1 from both sides.
Step 3: Divide both sides by 2.
Therefore, the smaller number is 32 while the larger number is 33.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
