Hello from MrBillDoesMath!
Answer:
Choice E and F
Discussion:
From the quadratic formula with a = 3, b = -1, and c = 6
x = ( -b +\- sqrt(b^2 - 4ac) ) / (2a) => substitute in a,b,c from above
x = ( -(-1) +\- sqrt((-1)^2 - 4(3)(6)) / (2*3) => discriminant = 1 - 72 = -71)
x = ( 1 +\- sqrt(-71))/ 6
which are choices E and F
Thank you,
MrB
Answer:
2501 ft2
Step-by-step explanation:
The other answers are in in2 or in. In this case you would not be looking for an answer in in2 or in.
Answer:
Rate of change/slope: 35
Miles at 10 hours: 350
Step-by-step explanation:
We can find the rate of change or the slope by using the slope formula below:
m = (y2-y1)/(x2-x1) where m is the slope
To find the slope, we can choose any two points from the table. I will choose (2,70) and (4,140)
m = (140-70)/(4-2)
m = 70/2
m = 35
The rate of change is 35 miles per hour
To find the miles at 10 hours, we can use the equation y = mx + b which is the equation of the line in slope intercept form. However, we will need to find the value of b. To do that, we can plug in any point from the table to find the value of b. I'll choose (2,70).
y = mx + b
70 = 35(2) + b
70 = 70 + b
b = 0
So the equation of the line would be y = 35x. Using this equation, we can find the number of miles at 10 hours:
y = 35(10)
y = 350
The number of miles at 10 hours is 350 miles
