Answer:
645.333 feet per second
Step-by-step explanation:
Answer:
y² + y - 6
Step-by-step explanation:
(y - 2)(+ 1)(y + 3) simplifies to
(y - 2)(y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
y(y + 3) - 2(y + 3) ← distribute parenthesis
= y² + 3y - 2y - 6 ← collect like terms
= y² + y - 6
we are given
![5r^2-12=68](https://tex.z-dn.net/?f=%205r%5E2-12%3D68%20)
Since, we have to solve for r
so, firstly we will isolate r terms
so, we will move 12 on right side
we can add both sides by 12
![5r^2-12+12=68+12](https://tex.z-dn.net/?f=%205r%5E2-12%2B12%3D68%2B12%20)
![5r^2=80](https://tex.z-dn.net/?f=%205r%5E2%3D80%20)
now, we can divide both sides by 5
![\frac{5r^2}{5} =\frac{80}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5r%5E2%7D%7B5%7D%20%3D%5Cfrac%7B80%7D%7B5%7D%20%20)
![r^2=16](https://tex.z-dn.net/?f=%20r%5E2%3D16%20)
now, we can take sqrt both sides
and we get
![r=4 , r=-4](https://tex.z-dn.net/?f=%20r%3D4%20%2C%20r%3D-4%20)
so,
{±4}..........Answer
Answer: n = 1, n = -1/3
<u>Step-by-step explanation:</u>
(3n - 1)² = 12n + 8
9n² - 6n + 1 = 12n + 8
9n² - 18n - 7 = 0
Substitute -18n with 3n - 21n and find the common factor of each side:
9n² + 3n -21n - 7 = 0
3n(<u>3n + 1</u>) -3(<u>3n + 1</u>) = 0
(3n - 3) (3n + 1) = 0
Solve for each factor:
3n - 3 = 0 3n + 1 = 0
3n = 3 3n = -1
n = 1 n = -1/3
Pienso que un libro pesa 1.9 libras