In mathematical analysis, Clairaut's equation is a differential equation of the form where f is continuously differentiable. It is a particular case of the Lagrange differential equation
Answer:
B
Step-by-step explanation:
Cube root 1000x^6 = 10x^2
Cube root of - 27 = 3
So the first part of the factorization process is 10x^2 - 3. There is no help here because all of the answers give this binomial as the first factor.
The second factor is (10x^2)^2 + (3)*10x^2 + 3^2)
Expanding you get 100x^4 + 30x^2 + 9
Be very careful when looking at 100x^4 because that is where the answer is found.
It has to be B
The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .
<u>Step-by-step explanation:</u>
Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:
where 
are athletes
⇒ 
⇒ 
⇒ 
⇒ 
, where m is average time of the 20 athletes who did not qualify for the final.
⇒ 
⇒ 
⇒ 
∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .
Answer: 10 minutes
Step-by-step explanation:
Given : Three postal workers can sort a stack of mail in 20 minutes, 30 minutes, and 60 minutes, respectively.
Let T be the time taken by all of them when they working together.
Then , we have the following equation :-
Hence, the time taken by all of them when they working together = 10 minutes.
Answer:
Linear equation: x = -1
Step-by-step explanation:
Vertical lines have undefined slopes, as represented by the linear equation, <em>x = a, </em>where the x-intercept is (a, 0).
A vertical line has <em>undefined</em> slope because all points the line have the same x-coordinate. Since any two points on a vertical line have the same x-coordinate, slope cannot be computed as a finite number. The equation cannot be expressed in slope-intercept form because it has an undefined slope.
Therefore, since you're given the point, (-1, 4), then it means that your equation will be: x = -1.
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