Answer:
The zeroes in this equation are -5, -4, and 5
Step-by-step explanation:
In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.
r^3 + 4r^2
r^2(r + 4)
Now the second half.
-25r - 100
-25(r + 4)
Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.
(r^2 - 25)(r + 4)
And we can further factor the first parenthesis using the difference of two squares
(r^2 - 25)(r + 4)
(r + 5)(r - 5)(r + 4)
Now that we are fully factored, set each parenthesis equal to 0 and solve for x.
r + 5 = 0
r = -5
r - 5 = 0
r = 5
r + 4 = 0
r = -4
Answer:
5.2%.
Step-by-step explanation:
After 1 hour (60 / 100) * 700 = 420 gallons of beer have been exchanged.
So we have 420 gallons of 6% and 280 gallons of 4% after 1 hour.
So the strength at that time = (420* 6) + 280*4) / 700
= 5.2%.
Answer:
See the photo for the answer
b = 6 feets on 6.b
x = 85 degrees and
y = 45 degrees.
Step-by-step explanation:
Step 1:
The angle for a straight line is 180°. The sum of the angles in a triangle is 180°. These two statements are required to solve this problem.
The angles of x° and 95° are on a single straight line.
So 

So the angle of x is 85°.
Step 2:
The sum of the angles in a triangle is 180°.
So 


So the angle of y is 45°.
In total would be 00.08 because you need to divide to get your answer