Answer:
try 1.5 or 0.6 repeating
Step-by-step explanation:
hope this helps
Answer:
Quadratic Equation:
![3x^2=2x +5](https://tex.z-dn.net/?f=3x%5E2%3D2x%20%2B5)
![\text{Standard Form: } 3x^2-2x-5=0](https://tex.z-dn.net/?f=%5Ctext%7BStandard%20Form%3A%20%7D%203x%5E2-2x-5%3D0)
From the standard form of a Quadratic Function, we get:
![a=3,\:b=-2,\:c=-5](https://tex.z-dn.net/?f=a%3D3%2C%5C%3Ab%3D-2%2C%5C%3Ac%3D-5)
Discriminant:
![\Delta=\left(-2\right)^2-4\cdot \:3\left(-5\right)](https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%28-2%5Cright%29%5E2-4%5Ccdot%20%5C%3A3%5Cleft%28-5%5Cright%29)
![\Delta=\left(-2\right)^2+4\cdot \:3\cdot \:5](https://tex.z-dn.net/?f=%5CDelta%3D%5Cleft%28-2%5Cright%29%5E2%2B4%5Ccdot%20%5C%3A3%5Ccdot%20%5C%3A5)
![\Delta=64](https://tex.z-dn.net/?f=%5CDelta%3D64)
From the discriminant, we conclude that the equation will have two real solutions.
State that:
![b^2-4ac](https://tex.z-dn.net/?f=b%5E2-4ac%20%3C0%3A%5Ctext%7BThe%20equation%20has%20no%20real%20solutions%2C%20the%20solutions%20are%20complex%7D)
![b^2-4ac =0:\text{The equation has 1 real solution}](https://tex.z-dn.net/?f=b%5E2-4ac%20%3D0%3A%5Ctext%7BThe%20equation%20has%201%20real%20solution%7D)
![b^2-4ac >0:\text{The equation has 2 real solutions}](https://tex.z-dn.net/?f=b%5E2-4ac%20%3E0%3A%5Ctext%7BThe%20equation%20has%202%20real%20solutions%7D)
By the way, solving the equation given:
![$x=\frac{2\pm\sqrt{64}}{2\cdot \:3}$](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B64%7D%7D%7B2%5Ccdot%20%5C%3A3%7D%24)
![$x=\frac{2\pm\sqrt{64}}{6}$](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B2%5Cpm%5Csqrt%7B64%7D%7D%7B6%7D%24)
![$x=\frac{2\pm8}{6}$](https://tex.z-dn.net/?f=%24x%3D%5Cfrac%7B2%5Cpm8%7D%7B6%7D%24)
![$x_{1} =\frac{10}{6}=\frac{5}{3} $](https://tex.z-dn.net/?f=%24x_%7B1%7D%20%3D%5Cfrac%7B10%7D%7B6%7D%3D%5Cfrac%7B5%7D%7B3%7D%20%20%24)
![$x_{2}=\frac{-6}{6} =-1$](https://tex.z-dn.net/?f=%24x_%7B2%7D%3D%5Cfrac%7B-6%7D%7B6%7D%20%3D-1%24)
Answer:
The solution is
.
Step-by-step explanation:
Given:
The inequality given is:
![|x|+4>7](https://tex.z-dn.net/?f=%7Cx%7C%2B4%3E7)
In order to simplify for 'x', we first isolate 'x' on one side.
Adding -4 on both sides, we get:
![|x|+4-4>7-4\\\\|x|>3](https://tex.z-dn.net/?f=%7Cx%7C%2B4-4%3E7-4%5C%5C%5C%5C%7Cx%7C%3E3)
Now,
is an absolute value function which is defined as:
![|x|=\left \{ {{-x}\ \ x](https://tex.z-dn.net/?f=%7Cx%7C%3D%5Cleft%20%5C%7B%20%7B%7B-x%7D%5C%20%5C%20x%3C0%20%5Catop%20%7Bx%5C%20%5C%20x%5Cgeq0%7D%7D%20%5Cright.)
Therefore, the given inequality can be rewritten as:
and ![x > 3](https://tex.z-dn.net/?f=x%20%3E%203)
Therefore, the solution is
.
Answer:
4 feet per second
Step-by-step explanation:
Hi there!
where v is velocity (speed), D is distance and t is time
Plug in the known values (D=180 feet, t=45 seconds)
![v=180/45\\v=4](https://tex.z-dn.net/?f=v%3D180%2F45%5C%5Cv%3D4)
Therefore, the speed of the ball is 4 feet per second.
I hope this helps!
Answer:
The answer is 40.1%
Step-by-step explanation:
I just took the test