Step-by-step explanation:
y= 5
x=3
.................
Answer:
oh, you may have forgotten to add the file, you can edit and add it, which i will edit my response and respond.
Step-by-step explanation:
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
Answer:
C = 6.28 in.
A = 3.14 in.^2
Step-by-step explanation:
C = (pi)d
C = 3.14 * 2 in.
C = 6.28 in.
A = (pi)r^2
r = d/2 = 2 in./2 = 1 in.
A = 3.14 * (1 in.^2)
A = 3.14 in.^2
Answer:
$100.4
Step-by-step explanation:
Compound Interest Formula:
A = P
1 + 
=> A = 100 x ( 1 + 
)^1 = 100.4 (If they asked ... interest rate ... per year, if not then depends - most likely to be days and therefore you will need to change 1 year = 365 days and you will also need to change 1 in the formula above to 365, then you will get the right ans)
