At most 4 times
hmm
where it touches is when y=0
so just have lots of zeroes
y=(x-r1) is a zero
so 4 zeroes is
y=(x-r1)(x-r2)(x-r3)(x-r4)
if we expand it it is degree 4
minimum degree is 4th
Answer:
The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other. Then you back-solve for the first variable.
Step-by-step explanation:
Solve the following system by substitution.
2x – 3y = –2
4x + y = 24
The idea here is to solve one of the equations for one of the variables, and plug this into the other equation. It does not matter which equation or which variable you pick. There is no right or wrong choice; the answer will be the same, regardless. But — some choices may be better than others.
For instance, in this case, can you see that it would probably be simplest to solve the second equation for "y =", since there is already a y floating around loose in the middle there? I could solve the first equation for either variable, but I'd get fractions, and solving the second equation for x would also give me fractions. It wouldn't be "wrong" to make a different choice, but it would probably be more difficult. Being lazy, I'll solve the second equation for y:
4x + y = 24
y = –4x + 24
Now I'll plug this in ("substitute it") for "y" in the first equation, and solve for x:
2x – 3(–4x + 24) = –2
2x + 12x – 72 = –2
14x = 70
x = 5
Answer:
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
Step-by-step explanation:
Consider the provided information,
Let X is the number of defective bulbs.
Ten light bulbs are randomly selected.
The likelihood that a light bulb is defective is 5%.
Therefore sample size is = n = 10
Probability of a defective bulb = p = 0.05.
Therefore, q = 1 - p = 1 - 0.05 = 0.95
Mean of binomial random variable: 
Therefore, 
Variance of binomial random variable: 
Therefore, 
Mean and Variance of the number of defective bulbs are 0.5 and 0.475 respectively.
The upstream speed is 4 km/hour and the down stream speed is 6 km/hour
<h3>Calculating Speed </h3>
From the question, we are to calculate the speed of each stream
From the given information,
"<em>Rahul rows 16 km upstream and 24 km down stream taking 4 hours each</em>"
For the Upstream,
Distance = 16 km
Time = 4 hours
Using the formula,
Speed = Distance/ Time
Speed = 16 km / 4 hours
Speed = 4 km/hour
For the Down stream,
Distance = 24 km
Time = 4 hours
Thus,
Speed = 24 km / 4 hours
Speed = 6 km/hour
Hence, the upstream speed is 4 km/hour and the down stream speed is 6 km/hour
Learn more on Calculating Speed here: brainly.com/question/24571540
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Answer:
Step-by-step explanation:
A root is a value for which a given function equals zero. When that function is plotted on a graph, the roots are points where the function crosses the x-axis. For a function, f(x) , the roots are the values of x for which f(x)=0 f ( x ) = 0 .