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
9 5/6 - 2 1/3 is 7 1/2.
You could get this answer by finding the same denominator of the fractions. The LCM of both is 6. Multiply the 1 of the second fraction 2 times because you had to multiply the denominator 2 times to get to 6.
You should have 2 2/6.
Now get 9 5/6 - 2 2/6.
The answer is 7 3/6, simplifies into 7 1/2.
9 5/6 - 2 1/3 is 7 1/2.
1/10 is the answer if you divide 10,000 from 1,000
So there’s 2 steps to this. First we subtract what was added on both sides. 10-4 : 13-4 and we get 6:9. This ratio is true, but is not in simplest form, since both numbers are divisible by 3. So after dividing both sides by 3, the answer in simplest form will be 2:3. The correct answer is 2:3
Question 50.
a. Description
You walk 0.5 miles during 10 minutes, stop and wait for the bus during 4 minutes, then ride the bus for 2 miles during 4 minutes.
b. slopes
the slope of each line represents the average speed of every track.
1) first track
slope = 0.5 miles / 10 minutes = 0.05 miles / minutes.
Given that the slope is constant, you walked at a constant speed of 0.05 miles/minute.
2) second track
slope = 0 => you didn,t move (you were waiting the bus)
3) third track
slope = (2.5 - 0.5) miles / (18 min - 14 min) = 2 miles / 4 min = 0.5 miles / min
means the speed of the bus was constant and equal to 0.5 miles / min.