3x - 4 < = 2
3x < = 2 + 4
3x < = 6
x < = 6/3
x < = 2
2x + 11 > = -1
2x > = -1 - 11
2x > = -12
x > = -12/2
x > = -6
however, since ur inequality has " or " instead of " and " .....ur answer I believe is going to be {x | x < = 2}
Answer:
72.1 cm
Step-by-step explanation:
The arc length formula is s = rФ, where Ф is the central angle and is in radians (not degrees).
Here we convert 140° to radians: 140°(π/180°) = 2.44 radians.
Then the desired arc length is s = rФ = (29.5 cm)(2.44 radians) = 72.1 cm
Answer: The answer is ![\textup{The other root is }\dfrac{8}{3}~\textup{and}q=40.Step-by-step explanation: The given quadratic equation is[tex]3x^2+7x-q=0\\\\\Rightarrow x^2-\dfrac{7}{3}x-\dfrac{q}{3}=0.](https://tex.z-dn.net/?f=%5Ctextup%7BThe%20other%20root%20is%20%7D%5Cdfrac%7B8%7D%7B3%7D~%5Ctextup%7Band%7Dq%3D40.%3C%2Fstrong%3E%3C%2Fp%3E%3Cp%3E%3C%2Fp%3E%3Cp%3E%3Cstrong%3EStep-by-step%20explanation%3A%20%20%3C%2Fstrong%3EThe%20given%20quadratic%20equation%20is%3C%2Fp%3E%3Cp%3E%5Btex%5D3x%5E2%2B7x-q%3D0%5C%5C%5C%5C%5CRightarrow%20x%5E2-%5Cdfrac%7B7%7D%7B3%7Dx-%5Cdfrac%7Bq%7D%7B3%7D%3D0.)
Also given that -5 is one of the roots, we are to find the other root and the value of 'q'.
Let the other root of the equation be 'p'. So, we have

and

Thus, the other root is
and the value of 'q' is 40.