Answer:
- The required value of q is 35.
Step-by-step explanation:
Let α and β are the zeros of quadratic equation, x^2−12x+q=0.
- It is given that difference between the roots of the quadratic equation x^2−12x+q=0 is 2.
Equation : α - β = 2
Equation : α + β = 12
Equation : αβ = q
We have to create an algebraic expression.
(a+b)² = (a-b)² + 4ab
(12)² = (2)² + 4q
144 = 4 + 4q
144 - 4 =4q
140=4q
q = 140/4
q = 35
Therefore, the required value of q is 35.
<u>Some information about zeroes of quadratic equation. </u>
- Sum of zeroes = -b/a
- Product of Zeroes = c/a
Let's raise the exponent three on both sides of the equation.
1/x^2 = (x^m)^3
1/x^2 = x^(3m)
1 = x^2.x^(3m)
1 = x^(2+3m)
X^(2+3m) = 1
For this to be true:
2+3m = 0
3m = -2
m = -2/3
Answer:
3mph
Step-by-step explanation:
From Igor we find that the distance is 2x6= 12 miles
Distance/Time = Speed
12 miles/4 hours = 3mph
Given that a vehicle travels 25 miles in 2 hours, determine the average speed of the vehicle in miles per hour.
Work:
In order to find the average mph of the vehicle, you have to divide the distance the vehicle travels in a certain period of time by that amount of time.
So, in this case, the vehicle traveled 25 miles in 2 hours, so you would divide 25 by 2.
25/2 = 12.5
That means, the vehicle is traveling at a speed of 12.5 mph.
Thus, the average speed of the vehicle is 12.5 miles per hour (mph).
Answer:
19
Step-by-step explanation:
f(x) = 2x^2 +1
Let x =3
f(3) = 2 (3)^2 +1
= 2 *9 +1
= 18 +1
= 19
