Answer:
80/3 or 26 2/3
Step-by-step explanation:
-2 + y = 9 (subtract y from both sides)
-2 = 9 - y (subtract 9 from both sides)
-2 - 9 = y (multiply both sides by -1)
2 + 9 = y (simplify)
11 = y (substitute)
3x - 7 (11) = 3 (multiply)
3x - 77 = 3 (subtract 3 from both sides)
3x - 80 = 0 (subtract 3x from both sides)
-80 = -3x (multiply both sides by -1)
80 = 3x (divide both sides by 3)
80/3 = x (simplify if needed)
26 2/3 = x
Answer:
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.
Step-by-step explanation:
Ya I don’t remember what I sent you when I was gonna send it to me omg ya omg omg ya feel like like a crazy man I wanna is the time
Lisa is measuring the depth of a well. She drops a ball from a height of h feet into the well and measures how long it takes the ball to hit the bottom of the well.
Polynomial = 
where 0 is the initial speed and h is height it was dropped .
Now find depth of the well, when t = 3.5 seconds and h = 6 ft
= 
= 
= -196 + 6
= -190
So depth of the well is 190 feet (negative sign represents the depth, below the ground)
