Solve for x by simplifying both sides of the equation then isolating teh varible.
your answer = - 1/7
Interest from first account is :
Interest form second account is :
So, total interest is :
Therefore, total interest is $77.877 .
Answer:
this angle is a right angle(90°)
and one of the 2 angles is 30
3x+30=90
3x=90-30
3x=60
x=20
==> B
Answer: The value of k for which one root of the quadratic equation kx2 - 14x + 8 = 0 is six times the other is k = 3.
Let's look into the solution step by step.
Explanation:
Given: A quadratic equation, kx2 - 14x + 8 = 0
Let the two zeros of the equation be α and β.
According to the given question, if one of the roots is α the other root will be 6α.
Thus, β = 6α
Hence, the two zeros are α and 6α.
We know that for a given quadratic equation ax2 + bx + c = 0
The sum of the zeros is expressed as,
α + β = - b / a
The product of the zeros is expressed as,
αβ = c / a
For the given quadratic equation kx2 - 14x + 8 = 0,
a = k, b = -14, c = 8
The sum of the zeros is:
α + 6α = 14 / k [Since the two zeros are α and 6α]
⇒ 7α = 14 / k
⇒ α = 2 / k --------------- (1)
The product of the zeros is:
⇒ α × 6α = 8 / k [Since the two zeros are α and 6α]
⇒ 6α 2 = 8 / k
⇒ 6 (2 / k)2 = 8 / k [From (1)]
⇒ 6 × (4 / k) = 8
⇒ k = 24 / 8
⇒ k = 3
Okay so you are correct with the gradient of the perpendicular line it is -5/2 however the equation is not y= -5/2 -1 because it is a new Line and has a new y-intercept therefore its Y=-5/2 + C but you have corrected that when doing the formula and have got the right answer
