By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.
<h3>How to make a piecewise function continuous</h3>
According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:
2 · x = c · x² + d, for x = 1 (1)
4 · x³ = c · x² + d, for x = 2 (2)
Then, we have the following system of linear equations:
c + d = 2 (1b)
4 · c + d = 32 (2b)
The solution to this system of linear equations is c = 10 and d = -8.
To learn more on piecewise functions: brainly.com/question/12561612
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Answer:
The value x would equal to 2
11 divided by 5.5 = 2
5.5 x 2 =11
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
Hello! Lets solve this :)
So for the first question :
h(t) = -16t^2 + 150
h(0)= -16 (0)^2 + 150
h(0)= -16(0) + 150
h(0)= 0 + 150
h(0)= 150 feet
Second question
We need to find here the time when the ball hit the ground; or when the height h(t) is 0.
In equation form
h(t) --> 0=16t^2 + 150
16t^2 = 150
t^2=150/16
t= <span>√150/16
t= 5</span><span>√6/4
t= 5 (2.45)/4
t= 3.06 seconds
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Hope this helps! If you have any other questions or would like further explanation just let me know! :)
3 piano solos....each is 5/12 hr....
u can either add : 5/12 + 5/12 + 5/12 = 15/12 = 1 1/4 hrs
or u could multiply : 3 * 5/12 = 15/12 = 1 1/4 hs
either way....same answer
In this question, you are given the number of dice faces(8 faces) and the number of the roll( 2 rolls then add 1 value). You are asked the average value.
First, you need to count the average value of the dice probability. Since the lowest possible is 1 and the highest possible is 8, then the dice average value would be: (1+8)/2= 4.5
Then, the average intelligence of the character would be : 2 dice +1 = 2(4.5) +1 = 10 intelligence
