Answer:
x=5 x=6
Step-by-step explanation:
x^2 - 8x + 30 = 3x
Subtract 3x from each side
x^2 - 8x-3x + 30 = 3x-3x
x^2 - 11x + 30 = 0
What 2 numbers multiply to 30 and add to -11
-5*-6 = 30
-5+-6 = -11
(x-5) (x-6) =0
Using the zero product property
x-5 = 0 and x-6 =0
x-5+5 =0+5 and x-6+6 =0+6
x=5 x=6
The formula used for calculating the time is:
t = d / v
where t is time, d is distance and v is velocity
We know that the difference in the two times is 3 hours, therefore:
d / 65 – d / 130 = 3
Calculating for d:
d = 30 / (1/65 – 1/130)
<span>d = 3900 miles</span>
Since there is a negative correlation, evident by the negative slope of the equation of the line given to be -0.5, if we take t as 0, we get an equation of,
s = 3.6
This means that if a student does not watch television, he or she spends a maximum of 3.6 hours studying.
The answer is right below:
The answer to this problem is x = 52/19 = 2.737... I hope...