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.
Answer:
The length of BC = 28 units
Step-by-step explanation:
* In triangle ABC
∵ Angles B and C are congruent
∴ m∠B = m∠C
* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length
∴ AB = AC
∵ AB = 4x - 7
∵ AC = 2x + 7
∴ 4x - 7 = 2x + 7 ⇒ collect like terms
∴ 4x - 2x = 7 + 7
∴ 2x = 14 ⇒ divide both sides by 2
∴ x = 14 ÷ 2 = 7
* Now we can find the length of BC
∵ The length of BC = 4x ⇒ substitute the value of x
∴ The length of BC = 4 × 7 = 28 units
(x-3)^2 x=a number in this case
Answer:
y=3x
Step-by-step explanation:
y=kx, where k is constant
3y, 1x...so 3y = 1x
check: looking at the graph at 4.5y, 1.5x where y and x intersect...
4.5=3(1.5)
3 x 1.5 = 4.5
83 + 94 + 79 + 97 + 96 + 87 = 536.
536 ÷ 6 = 89.333333...
So, Lamonts' average is under 90.
