The roots of an equation are simply the x-intercepts of the equation.
See below for the proof that 
has at least two real roots
The equation is given as:
There are several ways to show that an equation has real roots, one of these ways is by using graphs.
See attachment for the graph of
Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)
From the attached graph, we can see that crosses the x-axis at approximately <em>-2000 and 2000 </em>between the domain -2500 and 2500
This means that has at least two real roots
Read more about roots of an equation at:
brainly.com/question/12912962
Answer:
Calculate the slope in the four intervals.
m = (f(b) - f(a)) / (b - a) slope in Intervall [a; b]
m1 = (3 - 0) / (2 - 0) = 1.5
m2 = (11 - 3) / (4 - 2) = 4
m3 = (23 - 3) / (6 - 2) = 5
m4 = (23 - 11) / (6 - 4) = 6
between x = 4 and x = 6 is the correct answer.
Answer:
b
Step-by-step explanation:
Answer:
84.13% of bottles will have volume greater than 994 mL
Step-by-step explanation:
Mean volume = u = 1000
Standard deviation = 
= 6
We need to find the proportion of bottles with volume greater than 994. So our test value is 994. i.e.
x = 994
Since the data is normally distributed we will use the concept of z-score to find the required proportion. First we convert 994 to its equivalent z-score, then using the z-table we will find the corresponding value of proportion. The formula to calculate the z score is:
Substituting the values, we get:
This means 994 is equivalent to a z score of -1. Now we will find the proportion of z values which are greater than -1 from the z table.
i.e. P(z > -1)
From the z-table this value comes out to be:
P(z >- 1) = 1 - P(z < -1) = 1 - 0.1587 = 0.8413
Since, 994 is equivalent to a z score of -1, we can write that proportion of values which will be greater than 994 would be:
P( X > 994 ) = P( z > -1 ) = 0.8413 = 84.13%
Answer:
D
Step-by-step explanation:
