<span> Given polynomial x^2+8x-48 = 0</span>
<span>x^2+12x-4x-48 = 0</span>
<span>x(x+12)-4(x+12) = 0</span>
<span>(x+12)(x-4) = 0</span>
<span>x+12 = 0</span>
Subtract 12 from each side.
<span>x+12-12 = 0-12</span>
<span>x = -12</span>
<span>and x-4 = 0</span>
Add 4 to each side.
<span>x-4+4 = 0+4</span>
<span>x = 4</span>
<span>Roots are -12,4.</span>
Answer:
5
Step-by-step explanation:
Use pythagorean theorem. The rise is 3 units and the run is 4 unites. Now the length of the line we are trying to find is a hypothenuse(the side opposite of the right angle
Given:
The equation is
![\dfrac{3}{2}+b=\dfrac{7}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D%2Bb%3D%5Cdfrac%7B7%7D%7B4%7D)
To find:
The value of b.
Solution:
We have,
![\dfrac{3}{2}+b=\dfrac{7}{4}](https://tex.z-dn.net/?f=%5Cdfrac%7B3%7D%7B2%7D%2Bb%3D%5Cdfrac%7B7%7D%7B4%7D)
Subtracting both sides by
, we get
![b=\dfrac{7}{4}-\dfrac{3}{2}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B7%7D%7B4%7D-%5Cdfrac%7B3%7D%7B2%7D)
![b=\dfrac{7-2(3)}{4}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B7-2%283%29%7D%7B4%7D)
![b=\dfrac{7-6}{4}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B7-6%7D%7B4%7D)
![b=\dfrac{1}{4}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B1%7D%7B4%7D)
Therefore, the value of b is
.
Answer:
Joseph has 175
Molly has 275
Step-by-step explanation:
y = 15x + 25
y = 25x + 25
You can put this into Desmos
Red is Joseph and Molly is blue
Molly - (10, 275)
Joseph - (10, 175)
x = the time
y = money over time
Answer:
60 yards back
Step-by-step explanation:Mutiply 4 and 15