The value of constant c for which the function k(x) is continuous is zero.
<h3>What is the limit of a function?</h3>
The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.
To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:
Provided that:
Using l'Hospital's rule:
Therefore:
Hence; c = 0
Learn more about the limit of a function x here:
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You have to plug in a random y value and use algebra to solve for x. It is impossible to do without at least one point for y.
Here's how to find the value of x:
<span>9 - 0.75 ( x + 8 ) - 5 = -6.5 find the difference of 9 - 0.75
</span><span>8.25 ( x + 8 ) - 5 = -6.5 add 5 to both sides
</span>
8.25 ( x + 8 ) = -1.5 distribute 8.25 to x and 8
8.25x + 66 = -1.5 subtract 66 from both sides
8.25x = -67.5 divide both sides by 8.25
x = 18.18181818...... the value of x is 18 2/11
hope this helps
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Step-by-step explanccccdcsdadrfaration:
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Probability that a student will play both is 7/30
Step-by-step explanation:
Total students = 30
No. of students who play basketball = 18
Probability that a student will play basketball = 18/30
= 3/5
No. of students who play baseball = 9
Probability that a student will play baseball = 9/30
= 3/10
No. of students who play neither sport = 10
Probability that a student will play neither sport = 10/30
= 1/3
To find :
Probability that a student will play both = p(student will play both)
No.of students who play sport = 30 - 10
= 20
Out of 20 students 18 play basketball and 9 play baseball.
So, some students play both the sports.
No. of students who play both sports = 18 + 9 - 20
= 7
p(student will play both) = 7/30
Probability that a student will play both is 7/30