In the science lab, Kathleen pours water from a cup into a beaker to find the volume of the water. If the beaker has increments
1 answer:
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Answer:
x = 2
x = -4
x = -3/2
Step-by-step explanation:
We need to find the roots of the equation
2x^3 + 7x^2 – 10x – 24 = 0
We can factorize the equation into
(x-2)(x+4)(2x + 3) = 0
Roots
x = 2
x = -4
x = -3/2
The answer to your question is also attached in the images below
Answer:
0
Step-by-step explanation:
The question lacks the graph to be able to solve it, I was doing a little research and I could find the graph which I will attach:
Already with the figure we can solve the question.
We have that the average exchange rate in this case would only take the normal slope between those 2 lines
. Furthermore we know that the slope (m) is given by:
m = (y2-y1) / (x2 - x1)
From the graph we have to:
y2 = 0
y1 = 0
x2 = 5
x1 = 3
we replace:
m = (0-0) / (5 - 3)
m = 0
Therefore the average rate is 0.
Part A: The y-intercept is 5. If you look to the data, when x=0, y=5. This means that the turtle started off 5 miles away from its nest. (at 0 hours, the distance away from his nest was 5 miles)
Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:
The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.
Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.
y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.
Part B:Answer=22. Remember, if you take any two distinct points on a line, the slope of the line will be equal to the average rate of change. In short, we're just looking for the slope between the ordered pairs (1,27) and (4,93). The formula for slope is:
The average rate of change between x=1 and x=4 is 22. The average rate of changed describes the rate at which miles is changing with respect the the change in hour.
Part C: Answer=10hours. Since by now we know both the slope and the y-intercept, lets write the equation in slope intercept form and then solve for 225 miles.
y=mx+b
y=22x+5
225=22x+5
subtract 5 from both sides
220=22x
divide both sides by 22
10=x
It would take 10 hours for the turtle to travel 225miles from it's nest.